Nonlinear Dynamics And Computational Physics

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Nonlinear Dynamics in Computational Neuroscience

Author : Fernando Corinto
Publisher : Springer
ISBN 13 : 3319710486
Total Pages : 150 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Nonlinear Dynamics in Computational Neuroscience by : Fernando Corinto

Download or read book Nonlinear Dynamics in Computational Neuroscience written by Fernando Corinto and published by Springer. This book was released on 2018-06-19 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an essential overview of computational neuroscience. It addresses a broad range of aspects, from physiology to nonlinear dynamical approaches to understanding neural computation, and from the simulation of brain circuits to the development of engineering devices and platforms for neuromorphic computation. Written by leading experts in such diverse fields as neuroscience, physics, psychology, neural engineering, cognitive science and applied mathematics, the book reflects the remarkable advances that have been made in the field of computational neuroscience, an emerging discipline devoted to the study of brain functions in terms of the information-processing properties of the structures forming the nervous system. The contents build on the workshop “Nonlinear Dynamics in Computational Neuroscience: from Physics and Biology to ICT,” which was held in Torino, Italy in September 2015.

Applied Nonlinear Dynamics

Author : Ali H. Nayfeh
Publisher : John Wiley & Sons
ISBN 13 : 3527617558
Total Pages : 700 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Applied Nonlinear Dynamics by : Ali H. Nayfeh

Download or read book Applied Nonlinear Dynamics written by Ali H. Nayfeh and published by John Wiley & Sons. This book was released on 2008-11-20 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified and coherent treatment of analytical, computational and experimental techniques of nonlinear dynamics with numerous illustrative applications. Features a discourse on geometric concepts such as Poincaré maps. Discusses chaos, stability and bifurcation analysis for systems of differential and algebraic equations. Includes scores of examples to facilitate understanding.

Nonlinear Dynamics and Computational Physics

Author : V. B. Sheorey
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9788173192838
Total Pages : 264 pages
Book Rating : 4.1/5 (928 download)

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Book Synopsis Nonlinear Dynamics and Computational Physics by : V. B. Sheorey

Download or read book Nonlinear Dynamics and Computational Physics written by V. B. Sheorey and published by Alpha Science Int'l Ltd.. This book was released on 1999 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 24 articles presented in this volume cover emerging areas in nonlinear dynamics. They discuss a range of topics, from chaotic quantum systems to nonlinear dynamics of the earth's magnetosphere and from microscopic chaos and nonequilibrium statistical mechanics to nonlinear dynamics of human brain activity. The articles are written by leading researchers both from India and other countries. It is hoped that the volume will provide information and inspiration, and suggest new research directions, both to the expert and novice alike.

Nonlinear Dynamics and Chaos

Author : Steven H. Strogatz
Publisher : CRC Press
ISBN 13 : 0429961111
Total Pages : 532 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz

Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Nonlinear Dynamical Systems Of Mathematical Physics: Spectral And Symplectic Integrability Analysis

Author : Denis Blackmore
Publisher : World Scientific
ISBN 13 : 9814462713
Total Pages : 563 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Nonlinear Dynamical Systems Of Mathematical Physics: Spectral And Symplectic Integrability Analysis by : Denis Blackmore

Download or read book Nonlinear Dynamical Systems Of Mathematical Physics: Spectral And Symplectic Integrability Analysis written by Denis Blackmore and published by World Scientific. This book was released on 2011-03-04 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: This distinctive volume presents a clear, rigorous grounding in modern nonlinear integrable dynamics theory and applications in mathematical physics, and an introduction to timely leading-edge developments in the field — including some innovations by the authors themselves — that have not appeared in any other book.The exposition begins with an introduction to modern integrable dynamical systems theory, treating such topics as Liouville-Arnold and Mischenko-Fomenko integrability. This sets the stage for such topics as new formulations of the gradient-holonomic algorithm for Lax integrability, novel treatments of classical integration by quadratures, Lie-algebraic characterizations of integrability, and recent results on tensor Poisson structures. Of particular note is the development via spectral reduction of a generalized de Rham-Hodge theory, related to Delsarte-Lions operators, leading to new Chern type classes useful for integrability analysis. Also included are elements of quantum mathematics along with applications to Whitham systems, gauge theories, hadronic string models, and a supplement on fundamental differential-geometric concepts making this volume essentially self-contained.This book is ideal as a reference and guide to new directions in research for advanced students and researchers interested in the modern theory and applications of integrable (especially infinite-dimensional) dynamical systems.

Nonlinear Dynamics

Author : George Datseris
Publisher : Springer Nature
ISBN 13 : 3030910326
Total Pages : 243 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Nonlinear Dynamics by : George Datseris

Download or read book Nonlinear Dynamics written by George Datseris and published by Springer Nature. This book was released on 2022-03-13 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise and up-to-date textbook provides an accessible introduction to the core concepts of nonlinear dynamics as well as its existing and potential applications. The book is aimed at students and researchers in all the diverse fields in which nonlinear phenomena are important. Since most tasks in nonlinear dynamics cannot be treated analytically, skills in using numerical simulations are crucial for analyzing these phenomena. The text therefore addresses in detail appropriate computational methods as well as identifying the pitfalls of numerical simulations. It includes numerous executable code snippets referring to open source Julia software packages. Each chapter includes a selection of exercises with which students can test and deepen their skills.

Nonlinear Dynamics

Author : Muthusamy Lakshmanan
Publisher : Springer Science & Business Media
ISBN 13 : 3642556884
Total Pages : 628 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Nonlinear Dynamics by : Muthusamy Lakshmanan

Download or read book Nonlinear Dynamics written by Muthusamy Lakshmanan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained treatment covers all aspects of nonlinear dynamics, from fundamentals to recent developments, in a unified and comprehensive way. Numerous examples and exercises will help the student to assimilate and apply the techniques presented.

Computational Problems for Physics

Author : Rubin H. Landau
Publisher : CRC Press
ISBN 13 : 1351784021
Total Pages : 435 pages
Book Rating : 4.3/5 (517 download)

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Book Synopsis Computational Problems for Physics by : Rubin H. Landau

Download or read book Computational Problems for Physics written by Rubin H. Landau and published by CRC Press. This book was released on 2018-05-30 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our future scientists and professionals must be conversant in computational techniques. In order to facilitate integration of computer methods into existing physics courses, this textbook offers a large number of worked examples and problems with fully guided solutions in Python as well as other languages (Mathematica, Java, C, Fortran, and Maple). It’s also intended as a self-study guide for learning how to use computer methods in physics. The authors include an introductory chapter on numerical tools and indication of computational and physics difficulty level for each problem. Readers also benefit from the following features: • Detailed explanations and solutions in various coding languages. • Problems are ranked based on computational and physics difficulty. • Basics of numerical methods covered in an introductory chapter. • Programming guidance via flowcharts and pseudocode. Rubin Landau is a Distinguished Professor Emeritus in the Department of Physics at Oregon State University in Corvallis and a Fellow of the American Physical Society (Division of Computational Physics). Manuel Jose Paez-Mejia is a Professor of Physics at Universidad de Antioquia in Medellín, Colombia.

Understanding Nonlinear Dynamics

Author : Daniel Kaplan
Publisher : Springer Science & Business Media
ISBN 13 : 1461208238
Total Pages : 438 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Understanding Nonlinear Dynamics by : Daniel Kaplan

Download or read book Understanding Nonlinear Dynamics written by Daniel Kaplan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics ( TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. About the Authors Daniel Kaplan specializes in the analysis of data using techniques motivated by nonlinear dynamics. His primary interest is in the interpretation of irregular physiological rhythms, but the methods he has developed have been used in geo physics, economics, marine ecology, and other fields. He joined McGill in 1991, after receiving his Ph.D from Harvard University and working at MIT. His un dergraduate studies were completed at Swarthmore College. He has worked with several instrumentation companies to develop novel types of medical monitors.

Computational Physics

Author : Philipp Scherer
Publisher : Springer Science & Business Media
ISBN 13 : 3319004018
Total Pages : 456 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Computational Physics by : Philipp Scherer

Download or read book Computational Physics written by Philipp Scherer and published by Springer Science & Business Media. This book was released on 2013-07-17 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents basic and advanced computational physics in a very didactic style. It contains very-well-presented and simple mathematical descriptions of many of the most important algorithms used in computational physics. The first part of the book discusses the basic numerical methods. The second part concentrates on simulation of classical and quantum systems. Several classes of integration methods are discussed including not only the standard Euler and Runge Kutta method but also multi-step methods and the class of Verlet methods, which is introduced by studying the motion in Liouville space. A general chapter on the numerical treatment of differential equations provides methods of finite differences, finite volumes, finite elements and boundary elements together with spectral methods and weighted residual based methods. The book gives simple but non trivial examples from a broad range of physical topics trying to give the reader insight into not only the numerical treatment but also simulated problems. Different methods are compared with regard to their stability and efficiency. The exercises in the book are realised as computer experiments.

Nonlinear Physics with Mathematica for Scientists and Engineers

Author : Richard H. Enns
Publisher : Springer Science & Business Media
ISBN 13 : 9780817642235
Total Pages : 720 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Nonlinear Physics with Mathematica for Scientists and Engineers by : Richard H. Enns

Download or read book Nonlinear Physics with Mathematica for Scientists and Engineers written by Richard H. Enns and published by Springer Science & Business Media. This book was released on 2001-06-26 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear physics continues to be an area of dynamic modern research, with applications to physics, engineering, chemistry, mathematics, computer science, biology, medicine and economics. In this text extensive use is made of the Mathematica computer algebra system. No prior knowledge of Mathematica or programming is assumed. This book includes 33 experimental activities that are designed to deepen and broaden the reader's understanding of nonlinear physics. These activities are correlated with Part I, the theoretical framework of the text.

Dynamical Systems in Neuroscience

Author : Eugene M. Izhikevich
Publisher : MIT Press
ISBN 13 : 0262514206
Total Pages : 459 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Dynamical Systems in Neuroscience by : Eugene M. Izhikevich

Download or read book Dynamical Systems in Neuroscience written by Eugene M. Izhikevich and published by MIT Press. This book was released on 2010-01-22 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains the relationship of electrophysiology, nonlinear dynamics, and the computational properties of neurons, with each concept presented in terms of both neuroscience and mathematics and illustrated using geometrical intuition. In order to model neuronal behavior or to interpret the results of modeling studies, neuroscientists must call upon methods of nonlinear dynamics. This book offers an introduction to nonlinear dynamical systems theory for researchers and graduate students in neuroscience. It also provides an overview of neuroscience for mathematicians who want to learn the basic facts of electrophysiology. Dynamical Systems in Neuroscience presents a systematic study of the relationship of electrophysiology, nonlinear dynamics, and computational properties of neurons. It emphasizes that information processing in the brain depends not only on the electrophysiological properties of neurons but also on their dynamical properties. The book introduces dynamical systems, starting with one- and two-dimensional Hodgkin-Huxley-type models and continuing to a description of bursting systems. Each chapter proceeds from the simple to the complex, and provides sample problems at the end. The book explains all necessary mathematical concepts using geometrical intuition; it includes many figures and few equations, making it especially suitable for non-mathematicians. Each concept is presented in terms of both neuroscience and mathematics, providing a link between the two disciplines. Nonlinear dynamical systems theory is at the core of computational neuroscience research, but it is not a standard part of the graduate neuroscience curriculum—or taught by math or physics department in a way that is suitable for students of biology. This book offers neuroscience students and researchers a comprehensive account of concepts and methods increasingly used in computational neuroscience. An additional chapter on synchronization, with more advanced material, can be found at the author's website, www.izhikevich.com.

Computational Physics

Author : Michael Bestehorn
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110515210
Total Pages : 410 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Computational Physics by : Michael Bestehorn

Download or read book Computational Physics written by Michael Bestehorn and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-04-09 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on examples from various areas of physics, this textbook introduces the reader to computer-based physics using Fortran® and Matlab®. It elucidates a broad palette of topics, including fundamental phenomena in classical and quantum mechanics, hydrodynamics and dynamical systems, as well as effects in field theories and macroscopic pattern formation described by (nonlinear) partial differential equations. A chapter on Monte Carlo methods is devoted to problems typically occurring in statistical physics. Contents Introduction Nonlinear maps Dynamical systems Ordinary differential equations I Ordinary differential equations II Partial differential equations I, basics Partial differential equations II, applications Monte Carlo methods (MC) Matrices and systems of linear equations Program library Solutions of the problems README and a short guide to FE-tools

Perspectives of Nonlinear Dynamics: Volume 1

Author : E. Atlee Jackson
Publisher : CUP Archive
ISBN 13 : 9780521426329
Total Pages : 532 pages
Book Rating : 4.4/5 (263 download)

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Book Synopsis Perspectives of Nonlinear Dynamics: Volume 1 by : E. Atlee Jackson

Download or read book Perspectives of Nonlinear Dynamics: Volume 1 written by E. Atlee Jackson and published by CUP Archive. This book was released on 1989 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dynamics of physical, chemical, biological, or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. In this book the perspectives generated by analytical, topological and computational methods, and interplays between them, are developed in a variety of contexts. This book is a comprehensive introduction to this field, suited to a broad readership, and reflecting a wide range of applications. Some of the concepts considered are: topological equivalence; embeddings; dimensions and fractals; Poincaré maps and map-dynamics; empirical computational sciences vis-á-vis mathematics; Ulam's synergetics; Turing's instability and dissipative structures; chaos; dynamic entropies; Lorenz and Rossler models; predator-prey and replicator models; FPU and KAM phenomena; solitons and nonsolitons; coupled maps and pattern dynamics; cellular automata.

Mathematical Topics on Modelling Complex Systems

Author : J. A. Tenreiro Machado
Publisher : Springer Nature
ISBN 13 : 9811641692
Total Pages : 191 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Mathematical Topics on Modelling Complex Systems by : J. A. Tenreiro Machado

Download or read book Mathematical Topics on Modelling Complex Systems written by J. A. Tenreiro Machado and published by Springer Nature. This book was released on 2022-06-08 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores recent developments in theoretical research and mathematical modelling of real-world complex systems, organized in four parts. The first part of the book is devoted to the mathematical tools for the design and analysis in engineering and social science study cases. We discuss the periodic evolutions in nonlinear chemical processes, vibro-compact systems and their behaviour, different types of metal–semiconductor self-assembled samples, made of silver nanowires and zinc oxide nanorods. The second part of the book is devoted to mathematical description and modelling of the critical events, climate change and robust emergency scales. In three chapters, we consider a climate-economy model with endogenous carbon intensity and the behaviour of Tehran Stock Exchange market under international sanctions. The third part of the book is devoted to fractional dynamic and fractional control problems. We discuss the novel operational matrix technique for variable-order fractional optimal control problems, the nonlinear variable-order time fractional convection–diffusion equation with generalized polynomials The fourth part of the book concerns solvability and inverse problems in differential and integro-differential equations. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering. It can be read by mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists and urban planners.

Nonlinear Physics of Ecosystems

Author : Ehud Meron
Publisher : CRC Press
ISBN 13 : 1439826323
Total Pages : 347 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Nonlinear Physics of Ecosystems by : Ehud Meron

Download or read book Nonlinear Physics of Ecosystems written by Ehud Meron and published by CRC Press. This book was released on 2015-04-15 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Physics of Ecosystems introduces the concepts and tools of pattern formation theory and demonstrates their utility in ecological research using problems from spatial ecology. Written in language understandable to both physicists and ecologists in most parts, the book reveals the mechanisms of pattern formation and pattern dynamics. It als

Nonlinear Dynamics of Structures, Systems and Devices

Author : Walter Lacarbonara
Publisher : Springer Nature
ISBN 13 : 3030347133
Total Pages : 570 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Nonlinear Dynamics of Structures, Systems and Devices by : Walter Lacarbonara

Download or read book Nonlinear Dynamics of Structures, Systems and Devices written by Walter Lacarbonara and published by Springer Nature. This book was released on 2020-01-29 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first of three volumes from the inaugural NODYCON, held at the University of Rome, in February of 2019, presents papers devoted to Nonlinear Dynamics of Structures, Systems and Devices. The collection features both well-established streams of research as well as novel areas and emerging fields of investigation. Topics in Volume I include multi-scale dynamics: coexistence of multiple time/space scales, large system dynamics; dynamics of structures/industrial machines/equipment/facilities (e.g., cable transportation systems, suspension bridges, cranes, vehicles); nonlinear interactions: parametric vibrations with single/multi-frequency excitations, multiple external and autoparametric resonances in multi-dof systems; nonlinear system identification: parametric/nonparametric identification, data-driven identification; experimental dynamics: benchmark experiments, experimental methods, instrumentation techniques, measurements in harsh environments, experimental validation of nonlinear models; wave propagation, solitons, kinks, breathers; solution methods for pdes: Lie groups, Hirota’s method, perturbation methods, etc; nonlinear waves in media (granular materials, porous materials, materials with memory); composite structures: multi-layer, functionally graded, thermal loading; fluid/structure interaction; nonsmooth and retarded dynamics: systems with impacts, free play, stick-slip, friction hysteresis; nonlinear systems with time and/or space delays; stability of delay differential equations, differential-algebraic equations; space/time reduced-order modeling: enhanced discretization methods, center manifold reduction, nonlinear normal modes, normal forms; fractional-order systems; computational techniques: efficient algorithms, use of symbolic manipulators, integration of symbolic manipulation and numerical methods, use of parallel processors; and multibody dynamics: rigid and flexible multibody system dynamics, impact and contact mechanics, tire modeling, railroad vehicle dynamics, computational multibody dynamics.