New Trends In One Dimensional Dynamics

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New Trends in One-Dimensional Dynamics

Author : Maria José Pacifico
Publisher : Springer Nature
ISBN 13 : 3030168336
Total Pages : 333 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis New Trends in One-Dimensional Dynamics by : Maria José Pacifico

Download or read book New Trends in One-Dimensional Dynamics written by Maria José Pacifico and published by Springer Nature. This book was released on 2019-12-14 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the meeting New Trends in One-Dimensional Dynamics, which celebrated the 70th birthday of Welington de Melo and was held at the IMPA, Rio de Janeiro, in November 2016. Highlighting the latest results in one-dimensional dynamics and its applications, the contributions gathered here also celebrate the highly successful meeting, which brought together experts in the field, including many of Welington de Melo’s co-authors and former doctoral students. Sadly, Welington de Melo passed away shortly after the conference, so that the present volume became more a tribute to him. His role in the development of mathematics was undoubtedly an important one, especially in the area of low-level dynamics, and his legacy includes, in addition to many articles with fundamental contributions, books that are required reading for all newcomers to the field.

Topics from One-dimensional Dynamics

Author :
Publisher :
ISBN 13 : 9781107092853
Total Pages : pages
Book Rating : 4.0/5 (928 download)

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Book Synopsis Topics from One-dimensional Dynamics by :

Download or read book Topics from One-dimensional Dynamics written by and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics from One-Dimensional Dynamics

Author : Karen M Brucks
Publisher :
ISBN 13 : 9781299706248
Total Pages : pages
Book Rating : 4.7/5 (62 download)

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Book Synopsis Topics from One-Dimensional Dynamics by : Karen M Brucks

Download or read book Topics from One-Dimensional Dynamics written by Karen M Brucks and published by . This book was released on 2014-05-10 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: One-dimensional dynamics owns many deep results and avenues of active mathematical research. Numerous inroads to this research exist for the advanced undergraduate or beginning graduate student. This book provides glimpses into one-dimensional dynamics with the hope that the results presented illuminate the beauty and excitement of the field. Much of this material is covered nowhere else in textbook format, some are mini new research topics in themselves, and novel connections are drawn with other research areas both inside and outside the text. The material presented here is not meant to be approached in a linear fashion. Readers are encouraged to pick and choose favourite topics. Anyone with an interest in dynamics, novice or expert alike, will find much of interest within.

Renormalization And Geometry In One-dimensional And Complex Dynamics

Author : Yunping Jiang
Publisher : World Scientific
ISBN 13 : 9814500178
Total Pages : 327 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Renormalization And Geometry In One-dimensional And Complex Dynamics by : Yunping Jiang

Download or read book Renormalization And Geometry In One-dimensional And Complex Dynamics written by Yunping Jiang and published by World Scientific. This book was released on 1996-09-20 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: About one and a half decades ago, Feigenbaum observed that bifurcations, from simple dynamics to complicated ones, in a family of folding mappings like quadratic polynomials follow a universal rule (Coullet and Tresser did some similar observation independently). This observation opened a new way to understanding transition from nonchaotic systems to chaotic or turbulent system in fluid dynamics and many other areas. The renormalization was used to explain this observed universality. This research monograph is intended to bring the reader to the frontier of this active research area which is concerned with renormalization and rigidity in real and complex one-dimensional dynamics. The research work of the author in the past several years will be included in this book. Most recent results and techniques developed by Sullivan and others for an understanding of this universality as well as the most basic and important techniques in the study of real and complex one-dimensional dynamics will also be included here.

One-dimensional Dynamics

Author : Welington de Melo
Publisher :
ISBN 13 :
Total Pages : 632 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis One-dimensional Dynamics by : Welington de Melo

Download or read book One-dimensional Dynamics written by Welington de Melo and published by . This book was released on 1993 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:

New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena

Author : Pierre Coullet
Publisher : Springer Science & Business Media
ISBN 13 : 1468474790
Total Pages : 341 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena by : Pierre Coullet

Download or read book New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena written by Pierre Coullet and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: The basic aim of the NATO Advanced Research Workshop on "New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena: The Geometry of Nonequilibrium" was to bring together researchers from various areas of physics to review and explore new ideas regarding the organisation of systems driven far from equilibrium. Such systems are characterized by a close relationship between broken spatial and tempo ral symmetries. The main topics of interest included pattern formation in chemical systems, materials and convection, traveling waves in binary fluids and liquid crystals, defects and their role in the disorganisa tion of structures, spatio-temporal intermittency, instabilities and large-scale vortices in open flows, the mathematics of non-equilibrium systems, turbulence, and last but not least growth phenomena. Written contributions from participants have been grouped into chapters addressing these different areas. For additional clarity, the first chapter on pattern formation has been subdivided into sections. One of the main concerns was to focus on the unifying features between these diverse topics. The various scientific communities repre sented were encouraged to discuss and compare their approach so as to mutually benefit their respective fields. We hope that, to a large degree, these goals have been met and we thank all the participants for their efforts. The workshop was held in Cargese (Corsica, France) at the Institut d'Etudes Scientifiques from August 2nd to August 12th, 1988. We greatly thank Yves Pomeau and Daniel Walgraef who, as members of the organising committee, gave us valuable advice and encouragements.

New Trends in Mathematical Physics

Author : Vladas Sidoravicius
Publisher : Springer Science & Business Media
ISBN 13 : 9048128102
Total Pages : 886 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis New Trends in Mathematical Physics by : Vladas Sidoravicius

Download or read book New Trends in Mathematical Physics written by Vladas Sidoravicius and published by Springer Science & Business Media. This book was released on 2009-08-31 with total page 886 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects selected papers written by invited and plenary speakers of the 15th International Congress on Mathematical Physics (ICMP) in the aftermath of the conference. In extensive review articles and expository texts as well as advanced research articles the world leading experts present the state of the art in modern mathematical physics. New mathematical concepts and ideas are introduced by prominent mathematicalphysicists and mathematicians, covering among others the fields of Dynamical Systems, Operator Algebras, Partial Differential Equations, Probability Theory, Random Matrices, Condensed Matter Physics, Statistical Mechanics, General Relativity, Quantum Mechanics, Quantum Field Theory, Quantum Information and String Theory. All together the contributions in this book give a panoramic view of the latest developments in mathematical physics. They will help readers with a general interest in mathematical physics to get an update on the most recent developments in their field, and give a broad overview on actual and future research directions in this fascinating and rapidly expanding area.

Combinatorial Dynamics and Entropy in Dimension One

Author : LluÃs AlsedÃ
Publisher : World Scientific Publishing Company
ISBN 13 : 9813105593
Total Pages : 432 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Combinatorial Dynamics and Entropy in Dimension One by : LluÃs AlsedÃ

Download or read book Combinatorial Dynamics and Entropy in Dimension One written by LluÃs AlsedÃ and published by World Scientific Publishing Company. This book was released on 2000-10-31 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to the two main directions of one-dimensional dynamics. The first has its roots in the Sharkovskii theorem, which describes the possible sets of periods of all cycles (periodic orbits) of a continuous map of an interval into itself. The whole theory, which was developed based on this theorem, deals mainly with combinatorial objects, permutations, graphs, etc.; it is called combinatorial dynamics. The second direction has its main objective in measuring the complexity of a system, or the degree of “chaos” present in it; for that the topological entropy is used. The book analyzes the combinatorial dynamics and topological entropy for the continuous maps of either an interval or the circle into itself.

Mathematical Tools for One-Dimensional Dynamics

Author : Edson de Faria
Publisher : Cambridge University Press
ISBN 13 : 1139474847
Total Pages : 192 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Mathematical Tools for One-Dimensional Dynamics by : Edson de Faria

Download or read book Mathematical Tools for One-Dimensional Dynamics written by Edson de Faria and published by Cambridge University Press. This book was released on 2008-10-02 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originating with the pioneering works of P. Fatou and G. Julia, the subject of complex dynamics has seen great advances in recent years. Complex dynamical systems often exhibit rich, chaotic behavior, which yields attractive computer generated pictures, for example the Mandelbrot and Julia sets, which have done much to renew interest in the subject. This self-contained book discusses the major mathematical tools necessary for the study of complex dynamics at an advanced level. Complete proofs of some of the major tools are presented; some, such as the Bers-Royden theorem on holomorphic motions, appear for the very first time in book format. An appendix considers Riemann surfaces and Teichmüller theory. Detailing the very latest research, the book will appeal to graduate students and researchers working in dynamical systems and related fields. Carefully chosen exercises aid understanding and provide a glimpse of further developments in real and complex one-dimensional dynamics.

New Trends in Nonlinear Dynamics

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

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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).

New Trends in Design of Control Systems 1994

Author : J. Mikles
Publisher : Elsevier
ISBN 13 : 1483296970
Total Pages : 436 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis New Trends in Design of Control Systems 1994 by : J. Mikles

Download or read book New Trends in Design of Control Systems 1994 written by J. Mikles and published by Elsevier. This book was released on 2014-05-23 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer control systems are developing rapidly, therefore an insight of the latest trends in the design of control systems will increase the success of future developments. This publication brings together the latest key papers on research and development trends in this field, allowing both academics and industrial practioners to find new insights and gain from each other's experience.

New Trends For Hamiltonian Systems And Celestial Mechanics

Author : Lacomba Ernesto A
Publisher : #N/A
ISBN 13 : 9814547905
Total Pages : 408 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis New Trends For Hamiltonian Systems And Celestial Mechanics by : Lacomba Ernesto A

Download or read book New Trends For Hamiltonian Systems And Celestial Mechanics written by Lacomba Ernesto A and published by #N/A. This book was released on 1996-07-03 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume puts together several important lectures on the Hamiltonian Systems and Celestial Mechanics to form a comprehensive and authoritative collection of works on the subject. Their relationship to several aspects of topology, mechanics and dynamical systems in general are also emphasized. The papers presented are an outgrowth of the lectures that took place during the “International Symposium on Hamiltonian Systems and Celestial Mechanics ”, which was held at Cocoyoc (Morelos, México) from September 13 to 17, 1994.

Dynamics in One Dimension

Author : Louis Stuart Block
Publisher : Springer
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Dynamics in One Dimension by : Louis Stuart Block

Download or read book Dynamics in One Dimension written by Louis Stuart Block and published by Springer. This book was released on 1992 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: The behaviour under iteration of unimodal maps of an interval, such as the logistic map, has recently attracted considerable attention. It is not so widely known that a substantial theory has by now been built up for arbitrary continuous maps of an interval. The purpose of the book is to give a clear account of this subject, with complete proofs of many strong, general properties. In a number of cases these have previously been difficult of access. The analogous theory for maps of a circle is also surveyed. Although most of the results were unknown thirty years ago, the book will be intelligible to anyone who has mastered a first course in real analysis. Thus the book will be of use not only to students and researchers, but will also provide mathematicians generally with an understanding of how simple systems can exhibit chaotic behaviour.

New Trends in Macroeconomics

Author : Claude Diebolt
Publisher : Springer Science & Business Media
ISBN 13 : 3540285563
Total Pages : 244 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis New Trends in Macroeconomics by : Claude Diebolt

Download or read book New Trends in Macroeconomics written by Claude Diebolt and published by Springer Science & Business Media. This book was released on 2005-11-21 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a new approach to the subject, including a comprehensive survey of novel theoretical approaches, methods, and models used in macroeconomics and macroeconometrics. The book gives extensive insight into economic policy, incorporates a strong international perspective, and offers a broad historical perspective.

From Finite to Infinite Dimensional Dynamical Systems

Author : James Robinson
Publisher : Springer Science & Business Media
ISBN 13 : 9780792369752
Total Pages : 240 pages
Book Rating : 4.3/5 (697 download)

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Book Synopsis From Finite to Infinite Dimensional Dynamical Systems by : James Robinson

Download or read book From Finite to Infinite Dimensional Dynamical Systems written by James Robinson and published by Springer Science & Business Media. This book was released on 2001-05-31 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains six papers originally presented at a NATO Advanced Study Institute held in Cambridge, U.K. in 1995 on the fundamental properties of partial differential equations and modeling processes involving spatial dynamics. The contributors, from academic institutions in Europe and the U.S., discuss such topics as lattice dynamical systems, low-dimensional models of turbulence, and nonlinear dynamics of extended systems. The volume is not indexed. c. Book News Inc.

Topological and Ergodic Theory of Symbolic Dynamics

Author : Henk Bruin
Publisher : American Mathematical Society
ISBN 13 : 1470469847
Total Pages : 481 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Topological and Ergodic Theory of Symbolic Dynamics by : Henk Bruin

Download or read book Topological and Ergodic Theory of Symbolic Dynamics written by Henk Bruin and published by American Mathematical Society. This book was released on 2023-01-20 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symbolic dynamics is essential in the study of dynamical systems of various types and is connected to many other fields such as stochastic processes, ergodic theory, representation of numbers, information and coding, etc. This graduate text introduces symbolic dynamics from a perspective of topological dynamical systems and presents a vast variety of important examples. After introducing symbolic and topological dynamics, the core of the book consists of discussions of various subshifts of positive entropy, of zero entropy, other non-shift minimal action on the Cantor set, and a study of the ergodic properties of these systems. The author presents recent developments such as spacing shifts, square-free shifts, density shifts, $mathcal{B}$-free shifts, Bratteli-Vershik systems, enumeration scales, amorphic complexity, and a modern and complete treatment of kneading theory. Later, he provides an overview of automata and linguistic complexity (Chomsky's hierarchy). The necessary background for the book varies, but for most of it a solid knowledge of real analysis and linear algebra and first courses in probability and measure theory, metric spaces, number theory, topology, and set theory suffice. Most of the exercises have solutions in the back of the book.

Recent Trends In Chaotic, Nonlinear And Complex Dynamics

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

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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.