Nonlinear Analysis Research Trends

Download Nonlinear Analysis Research Trends PDF Online Free

Author :
Publisher :
ISBN 13 : 9781604563580
Total Pages : 0 pages
Book Rating : 4.5/5 (635 download)

DOWNLOAD NOW!


Book Synopsis Nonlinear Analysis Research Trends by : Inès N. Roux

Download or read book Nonlinear Analysis Research Trends written by Inès N. Roux and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-linear analysis is a broad, interdisciplinary field characterised by a mixture of analysis, topology, and applications. Its concepts and techniques provide the tools for developing more realistic and accurate models for a variety of phenomena encountered in fields ranging from engineering and chemistry to economics and biology. This book presents the latest research from around the globe.

New Trends in Nonlinear Dynamics

Download New Trends in Nonlinear Dynamics PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3030347249
Total Pages : 350 pages
Book Rating : 4.0/5 (33 download)

DOWNLOAD NOW!


Book Synopsis New Trends in Nonlinear Dynamics by : Walter Lacarbonara

Download or read book New Trends in Nonlinear Dynamics written by Walter Lacarbonara and published by Springer Nature. This book was released on 2020-01-27 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third of three volumes from the inaugural NODYCON, held at the University of Rome, in February of 2019, presents papers devoted to New Trends in Nonlinear Dynamics. The collection features both well-established streams of research as well as novel areas and emerging fields of investigation. Topics in Volume III include NEMS/MEMS and nanomaterials: multi-sensors, actuators exploiting nonlinear working principles; adaptive, multifunctional, and meta material structures; nanocomposite structures (e.g., carbon nanotube/polymer composites, composites with functionalized nanoparticles); 0D,1D,2D,3D nanostructures; biomechanics applications, DNA modeling, walking dynamics, heart dynamics, neurodynamics, capsule robots, jellyfish-like robots, nanorobots; cryptography based on chaotic maps; ecosystem dynamics, social media dynamics (user behavior dynamics in multi-messages social hotspots, prediction models), financial engineering, complexity in engineering; and network dynamics (multi-agent systems, leader-follower dynamics, swarm dynamics, biological networks dynamics).

Nonlinear Analysis

Download Nonlinear Analysis PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 8132218833
Total Pages : 362 pages
Book Rating : 4.1/5 (322 download)

DOWNLOAD NOW!


Book Synopsis Nonlinear Analysis by : Qamrul Hasan Ansari

Download or read book Nonlinear Analysis written by Qamrul Hasan Ansari and published by Springer. This book was released on 2014-06-05 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of our daily-life problems can be written in the form of an optimization problem. Therefore, solution methods are needed to solve such problems. Due to the complexity of the problems, it is not always easy to find the exact solution. However, approximate solutions can be found. The theory of the best approximation is applicable in a variety of problems arising in nonlinear functional analysis and optimization. This book highlights interesting aspects of nonlinear analysis and optimization together with many applications in the areas of physical and social sciences including engineering. It is immensely helpful for young graduates and researchers who are pursuing research in this field, as it provides abundant research resources for researchers and post-doctoral fellows. This will be a valuable addition to the library of anyone who works in the field of applied mathematics, economics and engineering.

Nonlinear Analysis: Problems, Applications and Computational Methods

Download Nonlinear Analysis: Problems, Applications and Computational Methods PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3030622991
Total Pages : 249 pages
Book Rating : 4.0/5 (36 download)

DOWNLOAD NOW!


Book Synopsis Nonlinear Analysis: Problems, Applications and Computational Methods by : Zakia Hammouch

Download or read book Nonlinear Analysis: Problems, Applications and Computational Methods written by Zakia Hammouch and published by Springer Nature. This book was released on 2020-11-13 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of original research papers as proceedings of the 6th International Congress of the Moroccan Society of Applied Mathematics organized by Sultan Moulay Slimane University, Morocco, during 7th–9th November 2019. It focuses on new problems, applications and computational methods in the field of nonlinear analysis. It includes various topics including fractional differential systems of various types, time-fractional systems, nonlinear Jerk equations, reproducing kernel Hilbert space method, thrombin receptor activation mechanism model, labour force evolution model, nonsmooth vector optimization problems, anisotropic elliptic nonlinear problem, viscous primitive equations of geophysics, quadratic optimal control problem, multi-orthogonal projections and generalized continued fractions. The conference aimed at fostering cooperation among students, researchers and experts from diverse areas of applied mathematics and related sciences through fruitful deliberations on new research findings. This book is expected to be resourceful for researchers, educators and graduate students interested in applied mathematics and interactions of mathematics with other branches of science and engineering.

Nonlinear Time Series Analysis

Download Nonlinear Time Series Analysis PDF Online Free

Author :
Publisher : John Wiley & Sons
ISBN 13 : 1119264073
Total Pages : 512 pages
Book Rating : 4.1/5 (192 download)

DOWNLOAD NOW!


Book Synopsis Nonlinear Time Series Analysis by : Ruey S. Tsay

Download or read book Nonlinear Time Series Analysis written by Ruey S. Tsay and published by John Wiley & Sons. This book was released on 2018-09-14 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive resource that draws a balance between theory and applications of nonlinear time series analysis Nonlinear Time Series Analysis offers an important guide to both parametric and nonparametric methods, nonlinear state-space models, and Bayesian as well as classical approaches to nonlinear time series analysis. The authors—noted experts in the field—explore the advantages and limitations of the nonlinear models and methods and review the improvements upon linear time series models. The need for this book is based on the recent developments in nonlinear time series analysis, statistical learning, dynamic systems and advanced computational methods. Parametric and nonparametric methods and nonlinear and non-Gaussian state space models provide a much wider range of tools for time series analysis. In addition, advances in computing and data collection have made available large data sets and high-frequency data. These new data make it not only feasible, but also necessary to take into consideration the nonlinearity embedded in most real-world time series. This vital guide: • Offers research developed by leading scholars of time series analysis • Presents R commands making it possible to reproduce all the analyses included in the text • Contains real-world examples throughout the book • Recommends exercises to test understanding of material presented • Includes an instructor solutions manual and companion website Written for students, researchers, and practitioners who are interested in exploring nonlinearity in time series, Nonlinear Time Series Analysis offers a comprehensive text that explores the advantages and limitations of the nonlinear models and methods and demonstrates the improvements upon linear time series models.

Nonlinear Analysis, Geometry and Applications

Download Nonlinear Analysis, Geometry and Applications PDF Online Free

Author :
Publisher : Birkhäuser
ISBN 13 : 9783030573386
Total Pages : 462 pages
Book Rating : 4.5/5 (733 download)

DOWNLOAD NOW!


Book Synopsis Nonlinear Analysis, Geometry and Applications by : Diaraf Seck

Download or read book Nonlinear Analysis, Geometry and Applications written by Diaraf Seck and published by Birkhäuser. This book was released on 2021-11-21 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers nineteen papers presented at the first NLAGA-BIRS Symposium, which was held at the Cheikh Anta Diop University in Dakar, Senegal, on June 24–28, 2019. The four-day symposium brought together African experts on nonlinear analysis and geometry and their applications, as well as their international partners, to present and discuss mathematical results in various areas. The main goal of the NLAGA project is to advance and consolidate the development of these mathematical fields in West and Central Africa with a focus on solving real-world problems such as coastal erosion, pollution, and urban network and population dynamics problems. The book addresses a range of topics related to partial differential equations, geometrical analysis of optimal shapes, geometric structures, optimization and optimal transportation, control theory, and mathematical modeling.

Topics in Nonlinear Analysis and Applications

Download Topics in Nonlinear Analysis and Applications PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9814499463
Total Pages : 716 pages
Book Rating : 4.8/5 (144 download)

DOWNLOAD NOW!


Book Synopsis Topics in Nonlinear Analysis and Applications by : Donald H Hyers

Download or read book Topics in Nonlinear Analysis and Applications written by Donald H Hyers and published by World Scientific. This book was released on 1997-05-02 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops methods which explore some new interconnections and interrelations between Analysis and Topology and their applications. Emphasis is given to several recent results which have been obtained mainly during the last years and which cannot be found in other books in Nonlinear Analysis. Interest in this subject area has rapidly increased over the last decade, yet the presentation of research has been confined mainly to journal articles. Contents:CONES AND COMPLEMENTARITY PROBLEMS:IntroductionConvex Cones:Normal ConesRegular and Completely Regular ConesWell Based ConesIsotone Projection ConesGalerkin ConesComplementarity Problems:The Explicit Complementarity ProblemThe Implicit Complementarity ProblemThe Generalized Order Complementarity ProblemExistence Theorems:Galerkin Cones and the Generalized Karamardian ConditionGalerkin Cones and Conically Coercive FunctionsVariational Inequalities and Explicit Complementarity ProblemsIsotone Projection Cones and Complementarity ProblemsCommentComplementarity Problems And Condition (S)1+S-Variational Inequalities and the Implicit Complementarity ProblemHeterotonic Operators and the Generalized Order Complementarity ProblemTopological Degree and ComplementaritySome Special Problems in Complementarity Theory:Boundedness of the Solution-SetSolution Which is the Least Element of the Feasible SetThe Cardinality of the Solution-SetNonexistence of SolutionSensitivity AnalysisNonlinear Complementarity and Quasi-EquilibriaComplementarity and Fixed PointsReferencesMETRICS ON CONVEX CONES:IntroductionHilbert's Projective MetricThompson's MetricWorking with Two ConesMonotone Semigroups and Metrics on ConesReferencesZERO-EPI MAPPINGS:IntroductionZero-Epi Mappings on Bounded SetsZero-Epi Mappings on the Whole SpaceZero-Epi Mappings on ConesZero-Epi Families of Mappings and OptimizationZero-Epi Mappings and Complementarity ProblemsZero-Epi Mappings and k-Set ContractionReferencesVARIATIONAL PRINCIPLES:IntroductionPreliminariesCritical Points for Dynamical SystemsVariants of Ekeland's Variational PrincipleThe Drop TheoremStrong Forms and Generalizations of Ekeland's PrincipleEquivalenciesEkeland's Variational Principle for Vector Valued FunctionApplications:Existence of Solutions for Minimizing ProblemsCoercivity ConditionA Global Variational Principle on ConesDensity ResultMountain Pass LemmaThe Bishop-Phelps TheoremClarke's Fixed Point TheoremBorwein's ε-PrincipleΦ-Accretive Operators and SurjectivityZabreiko-Krasnoselskii's TheoremThe Drop Property and the Geometry of Banach SpacesThe Drop Property for Arbitrary SetsReferencesMAXIMAL ELEMENT PRINCIPLES:IntroductionPreliminariesVariation on Zorn's Lemma:ApplicationsCommentsNew Maximal Element Principles:ApplicationsA Fixed Point Theorem for Ordered SetsMaximality And SolvabilityVariable Drops and General SolvabilityA Drop TheoremLipschitzianess TestsMaximal Element Principles and General Newton-Kantorovich ProcessesCommentsPareto EfficiencyReferences Readership: Mathematicians and physicists. keywords:Nonlinear Analysis;Cones;Complementarity;Zero-Epi Mappings;Variational and Maximal Principles “The book will undoubtedly be useful to all specialists and beginners in nonlinear analysis as a rich reference book and well as a source of new problems and ideas.” Mathematics Abstracts

Recent Advances in Nonlinear Analysis and Optimization with Applications

Download Recent Advances in Nonlinear Analysis and Optimization with Applications PDF Online Free

Author :
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1527560384
Total Pages : 146 pages
Book Rating : 4.5/5 (275 download)

DOWNLOAD NOW!


Book Synopsis Recent Advances in Nonlinear Analysis and Optimization with Applications by : Savin Treanţă

Download or read book Recent Advances in Nonlinear Analysis and Optimization with Applications written by Savin Treanţă and published by Cambridge Scholars Publishing. This book was released on 2020-09-30 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on recent advances in nonlinear analysis and optimization with important applications drawn from various fields, such as artificial intelligence, genetic algorithms, optimization problems under uncertainty, and fuzzy logic. Specifically, it is devoted to nonlinear problems associated with optimization which have some connection with applications. The ideas and techniques developed here will serve to stimulate further research in this dynamic field, and, in this way, the book will become a valuable reference for researchers, engineers and students in the field of mathematics, management science, operations research, optimal control science and economics.

Recent Trends In Chaotic, Nonlinear And Complex Dynamics

Download Recent Trends In Chaotic, Nonlinear And Complex Dynamics PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 981122191X
Total Pages : 561 pages
Book Rating : 4.8/5 (112 download)

DOWNLOAD NOW!


Book Synopsis Recent Trends In Chaotic, Nonlinear And Complex Dynamics by : Jan Awrejcewicz

Download or read book Recent Trends In Chaotic, Nonlinear And Complex Dynamics written by Jan Awrejcewicz and published by World Scientific. This book was released on 2021-07-26 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, enormous progress has been made on nonlinear dynamics particularly on chaos and complex phenomena. This unique volume presents the advances made in theory, analysis, numerical simulation and experimental realization, promising novel practical applications on various topics of current interest on chaos and related fields of nonlinear dynamics.Particularly, the focus is on the following topics: synchronization vs. chaotic phenomena, chaos and its control in engineering dynamical systems, fractal-based dynamics, uncertainty and unpredictability measures vs. chaos, Hamiltonian systems and systems with time delay, local/global stability, bifurcations and their control, applications of machine learning to chaos, nonlinear vibrations of lumped mass mechanical/mechatronic systems (rigid body and coupled oscillator dynamics) governed by ODEs and continuous structural members (beams, plates, shells) vibrations governed by PDEs, patterns formation, chaos in micro- and nano-mechanical systems, chaotic reduced-order models, energy absorption/harvesting from chaotic, chaos vs. resonance phenomena, chaos exhibited by discontinuous systems, chaos in lab experiments.The present volume forms an invaluable source on recent trends in chaotic and complex dynamics for any researcher and newcomers to the field of nonlinear dynamics.

Topics in Nonlinear Analysis & Applications

Download Topics in Nonlinear Analysis & Applications PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9789810225346
Total Pages : 724 pages
Book Rating : 4.2/5 (253 download)

DOWNLOAD NOW!


Book Synopsis Topics in Nonlinear Analysis & Applications by : Donald H. Hyers

Download or read book Topics in Nonlinear Analysis & Applications written by Donald H. Hyers and published by World Scientific. This book was released on 1997 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops methods which explore some new interconnections and interrelations between Analysis and Topology and their applications. Emphasis is given to several recent results which have been obtained mainly during the last years and which cannot be found in other books in Nonlinear Analysis. Interest in this subject area has rapidly increased over the last decade, yet the presentation of research has been confined mainly to journal articles.

Trends in Nonlinear and Adaptive Control

Download Trends in Nonlinear and Adaptive Control PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 9783030746308
Total Pages : 0 pages
Book Rating : 4.7/5 (463 download)

DOWNLOAD NOW!


Book Synopsis Trends in Nonlinear and Adaptive Control by : Zhong-Ping Jiang

Download or read book Trends in Nonlinear and Adaptive Control written by Zhong-Ping Jiang and published by Springer. This book was released on 2022-09-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, published in honor of Professor Laurent Praly on the occasion of his 65th birthday, explores the responses of some leading international authorities to new challenges in nonlinear and adaptive control. The mitigation of the effects of uncertainty and nonlinearity – ubiquitous features of real-world engineering and natural systems – on closed-loop stability and robustness being of crucial importance, the contributions report the latest research into overcoming these difficulties in: autonomous systems; reset control systems; multiple-input–multiple-output nonlinear systems; input delays; partial differential equations; population games; and data-driven control. Trends in Nonlinear and Adaptive Control presents research inspired by and related to Professor Praly’s lifetime of contributions to control theory and is a valuable addition to the literature of advanced control.

Research Topics in Analysis, Volume I

Download Research Topics in Analysis, Volume I PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3031178378
Total Pages : 544 pages
Book Rating : 4.0/5 (311 download)

DOWNLOAD NOW!


Book Synopsis Research Topics in Analysis, Volume I by : Shouchuan Hu

Download or read book Research Topics in Analysis, Volume I written by Shouchuan Hu and published by Springer Nature. This book was released on 2022-11-29 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, which is the first of two volumes, presents, in a unique way, some of the most relevant research tools of modern analysis. This work empowers young researchers with all the necessary techniques to explore the various subfields of this broad subject, and introduces relevant frameworks where these tools can be immediately deployed. Volume I starts with the foundations of modern analysis. The first three chapters are devoted to topology, measure theory, and functional analysis. Chapter 4 offers a comprehensive analysis of the main function spaces, while Chapter 5 covers more concrete subjects, like multivariate analysis, which are closely related to applications and more difficult to find in compact form. Chapter 6 deals with smooth and non-smooth calculus of functions; Chapter 7 introduces certain important classes of nonlinear operators; and Chapter 8 complements the previous three chapters with topics of variational analysis. Each chapter of this volume finishes with a list of problems – handy for understanding and self-study – and historical notes that give the reader a more vivid picture of how the theory developed. Volume II consists of various applications using the tools and techniques developed in this volume. By offering a clear and wide picture of the tools and applications of modern analysis, this work can be of great benefit not only to mature graduate students seeking topics for research, but also to experienced researchers with an interest in this vast and rich field of mathematics.

Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems

Download Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9781402013850
Total Pages : 400 pages
Book Rating : 4.0/5 (138 download)

DOWNLOAD NOW!


Book Synopsis Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems by : Dumitru Motreanu

Download or read book Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems written by Dumitru Motreanu and published by Springer Science & Business Media. This book was released on 2003-05-31 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reflects a significant part of authors' research activity dur ing the last ten years. The present monograph is constructed on the results obtained by the authors through their direct cooperation or due to the authors separately or in cooperation with other mathematicians. All these results fit in a unitary scheme giving the structure of this work. The book is mainly addressed to researchers and scholars in Pure and Applied Mathematics, Mechanics, Physics and Engineering. We are greatly indebted to Viorica Venera Motreanu for the careful reading of the manuscript and helpful comments on important issues. We are also grateful to our Editors of Kluwer Academic Publishers for their professional assistance. Our deepest thanks go to our numerous scientific collaborators and friends, whose work was so important for us. D. Motreanu and V. Radulescu IX Introduction The present monograph is based on original results obtained by the authors in the last decade. This book provides a comprehensive expo sition of some modern topics in nonlinear analysis with applications to the study of several classes of boundary value problems. Our framework includes multivalued elliptic problems with discontinuities, variational inequalities, hemivariational inequalities and evolution problems. The treatment relies on variational methods, monotonicity principles, topo logical arguments and optimization techniques. Excepting Sections 1 and 3 in Chapter 1 and Sections 1 and 3 in Chapter 2, the material is new in comparison with any other book, representing research topics where the authors contributed. The outline of our work is the following.

Nonlinear Equations: Methods, Models and Applications

Download Nonlinear Equations: Methods, Models and Applications PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 :
Total Pages : 284 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!


Book Synopsis Nonlinear Equations: Methods, Models and Applications by : Daniela Lupo

Download or read book Nonlinear Equations: Methods, Models and Applications written by Daniela Lupo and published by Springer Science & Business Media. This book was released on 2003-09-25 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains research articles from the field of Nonlinear Differential Equa tions which result from the "Workshop on Nonlinear Analysis and Applications" held in Bergamo on July 9 to 13, 200l. This workshop was the third edition of a meeting which first took place in Campinas in 1996 and was founded in part upon scientific cooperation, already well initiated, between some participants, on specific problems in Nonlinear Analysis, and in part upon the whish to extend such cooperation to other researchers and to other topics. The scientific collaboration between Italy and Brazil is not new; it dates back at least to the thirties, and includes, among others, the name of Luigi Fantappie, just to mention only one of the earliest Italians that developed part of their scien tific activity in Brazil. If the first workshop had mainly an informal character, the second, which took place in 1998 again in Campinas, already had the structure and the breath of a true international congress. At this point it was the Italians turn to organize the third meeting. The main purpose of the conference was to provide a forum for the discussion of recent work and modern trends in various fields of Nonlinear Analysis. About 130 researchers coming from 17 countries attended the conference.

Applications of Nonlinear Analysis

Download Applications of Nonlinear Analysis PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319898159
Total Pages : 931 pages
Book Rating : 4.3/5 (198 download)

DOWNLOAD NOW!


Book Synopsis Applications of Nonlinear Analysis by : Themistocles M. Rassias

Download or read book Applications of Nonlinear Analysis written by Themistocles M. Rassias and published by Springer. This book was released on 2018-06-29 with total page 931 pages. Available in PDF, EPUB and Kindle. Book excerpt: New applications, research, and fundamental theories in nonlinear analysis are presented in this book. Each chapter provides a unique insight into a large domain of research focusing on functional equations, stability theory, approximation theory, inequalities, nonlinear functional analysis, and calculus of variations with applications to optimization theory. Topics include: Fixed point theory Fixed-circle theory Coupled fixed points Nonlinear duality in Banach spaces Jensen's integral inequality and applications Nonlinear differential equations Nonlinear integro-differential equations Quasiconvexity, Stability of a Cauchy-Jensen additive mapping Generalizations of metric spaces Hilbert-type integral inequality, Solitons Quadratic functional equations in fuzzy Banach spaces Asymptotic orbits in Hill’sproblem Time-domain electromagnetics Inertial Mann algorithms Mathematical modelling Robotics Graduate students and researchers will find this book helpful in comprehending current applications and developments in mathematical analysis. Research scientists and engineers studying essential modern methods and techniques to solve a variety of problems will find this book a valuable source filled with examples that illustrate concepts.

Nonlinear Time Series Analysis with R

Download Nonlinear Time Series Analysis with R PDF Online Free

Author :
Publisher : Oxford University Press
ISBN 13 : 0191085790
Total Pages : 312 pages
Book Rating : 4.1/5 (91 download)

DOWNLOAD NOW!


Book Synopsis Nonlinear Time Series Analysis with R by : Ray Huffaker

Download or read book Nonlinear Time Series Analysis with R written by Ray Huffaker and published by Oxford University Press. This book was released on 2017-10-20 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Time Series Analysis with R provides a practical guide to emerging empirical techniques allowing practitioners to diagnose whether highly fluctuating and random appearing data are most likely driven by random or deterministic dynamic forces. It joins the chorus of voices recommending 'getting to know your data' as an essential preliminary evidentiary step in modelling. Time series are often highly fluctuating with a random appearance. Observed volatility is commonly attributed to exogenous random shocks to stable real-world systems. However, breakthroughs in nonlinear dynamics raise another possibility: highly complex dynamics can emerge endogenously from astoundingly parsimonious deterministic nonlinear models. Nonlinear Time Series Analysis (NLTS) is a collection of empirical tools designed to aid practitioners detect whether stochastic or deterministic dynamics most likely drive observed complexity. Practitioners become 'data detectives' accumulating hard empirical evidence supporting their modelling approach. This book is targeted to professionals and graduate students in engineering and the biophysical and social sciences. Its major objectives are to help non-mathematicians — with limited knowledge of nonlinear dynamics — to become operational in NLTS; and in this way to pave the way for NLTS to be adopted in the conventional empirical toolbox and core coursework of the targeted disciplines. Consistent with modern trends in university instruction, the book makes readers active learners with hands-on computer experiments in R code directing them through NLTS methods and helping them understand the underlying logic (please see www.marco.bittelli.com). The computer code is explained in detail so that readers can adjust it for use in their own work. The book also provides readers with an explicit framework — condensed from sound empirical practices recommended in the literature — that details a step-by-step procedure for applying NLTS in real-world data diagnostics.

Recent Trends in Nonlinear Analysis

Download Recent Trends in Nonlinear Analysis PDF Online Free

Author :
Publisher : Birkhäuser
ISBN 13 : 3034884117
Total Pages : 261 pages
Book Rating : 4.0/5 (348 download)

DOWNLOAD NOW!


Book Synopsis Recent Trends in Nonlinear Analysis by : Jürgen Appell

Download or read book Recent Trends in Nonlinear Analysis written by Jürgen Appell and published by Birkhäuser. This book was released on 2012-12-06 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains a collection of 21 original research papers which report on recent developments in various fields of nonlinear analysis. The collection covers a large variety of topics ranging from abstract fields such as algebraic topology, functional analysis, operator theory, spectral theory, analysis on manifolds, partial differential equations, boundary value problems, geometry of Banach spaces, measure theory, variational calculus, and integral equations, to more application-oriented fields like control theory, numerical analysis, mathematical physics, mathematical economy, and financial mathematics. The book is addressed to all specialists interested in nonlinear functional analysis and its applications, but also to postgraduate students who want to get in touch with this important field of modern analysis. It is dedicated to Alfonso Vignoli who has essentially contributed to the field, on the occasion of his sixtieth birthday.