Perspectives Of Nonlinear Dynamics Volume 2

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Perspectives Of Nonlinear Dynamics Volume 2

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Author : E. Atlee Jackson
language : en
Publisher: CUP Archive
Release Date : 1989

Perspectives Of Nonlinear Dynamics Volume 2 written by E. Atlee Jackson and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.

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. The presentation and style is intended to stimulate the reader's imagination to apply these methods to a host of problems and situations.

Perspectives Of Nonlinear Dynamics Volume 1

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Author : E. Atlee Jackson
language : en
Publisher: CUP Archive
Release Date : 1989

Perspectives Of Nonlinear Dynamics Volume 1 written by E. Atlee Jackson and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.

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.

Perspectives Of Nonlinear Dynamics

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Author : Edwin Atlee Jackson
language : en
Publisher:
Release Date : 1991

Perspectives Of Nonlinear Dynamics written by Edwin Atlee Jackson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Chaotic behavior in systems categories.

Nonlinear Dynamics And Chaos Advances And Perspectives

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Author : Marco Thiel
language : en
Publisher: Springer
Release Date : 2010-05-17

Nonlinear Dynamics And Chaos Advances And Perspectives written by Marco Thiel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-17 with Science categories.

This book is a collection of papers contributed by some of the greatest names in the areas of chaos and nonlinear dynamics. Each paper examines a research topic at the frontier of the area of dynamical systems. As well as reviewing recent results, each paper also discusses the future perspectives of each topic. The result is an invaluable snapshot of the state of the ?eld by some of the most important researchers in the area. The ?rst contribution in this book (the section entitled “How did you get into Chaos?”) is actually not a paper, but a collection of personal accounts by a number of participants of the conference held in Aberdeen in September 2007 to honour Celso Grebogi’s 60th birthday. At the instigation of James Yorke, many of the most well-known scientists in the area agreed to share their tales on how they got involved in chaos during a celebratory dinner in Celso’s honour during the conference. This was recorded in video, we felt that these accounts were a valuable historic document for the ?eld. So we decided to transcribe it and include it here as the ?rst section of the book.

Nonlinear Dynamics

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Author : Muthusamy Lakshmanan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Nonlinear Dynamics written by Muthusamy Lakshmanan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

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.

Perspectives Of Nonlinear Dynamics Volume I

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Author : E. Atlee Jackson
language : en
Publisher:
Release Date : 1991

Perspectives Of Nonlinear Dynamics Volume I written by E. Atlee Jackson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.

Perspectives Of Nonlinear Dynamics

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Author : Edwin Atlee Jackson
language : en
Publisher:
Release Date : 1991

Perspectives Of Nonlinear Dynamics written by Edwin Atlee Jackson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Chaotic behavior in systems categories.

Perspectives Of Nonlinear Dynamics

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Author : Edwin Atlee Jackson
language : en
Publisher:
Release Date : 1989

Perspectives Of Nonlinear Dynamics written by Edwin Atlee Jackson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.

Nonlinear Dynamics Perspective Of Wolfram S New Kind Of Science A In 2 Volumes Volume Ii

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Author : Leon O Chua
language : en
Publisher: World Scientific
Release Date : 2007-07-10

Nonlinear Dynamics Perspective Of Wolfram S New Kind Of Science A In 2 Volumes Volume Ii written by Leon O Chua and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-10 with Science categories.

This novel book introduces cellular automata from a rigorous nonlinear dynamics perspective. It supplies the missing link between nonlinear differential and difference equations to discrete symbolic analysis. A surprisingly useful interpretations of cellular automata in terms of neural networks is also given. The book provides a scientifically sound and original analysis, and classifications of the empirical results presented in Wolfram's monumental ';New Kind of Science.';/a

Nonlinear Dynamics Perspective Of Wolfram S New Kind Of Science A Volume Iii

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Author : Leon O Chua
language : en
Publisher: World Scientific
Release Date : 2009-08-11

Nonlinear Dynamics Perspective Of Wolfram S New Kind Of Science A Volume Iii written by Leon O Chua and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-11 with Computers categories.

Volume III continues the author's quest for developing a pedagogical, self-contained, yet rigorous analytical theory of 1-D cellular automata via a nonlinear dynamics perspective. Using carefully conceived and illuminating color graphics, the global dynamical behaviors of the 50 (out of 256) local rules that have not yet been covered in Volumes I and II are exposed via their stunningly revealing basin tree diagrams. The Bernoulli στ-shift dynamics discovered in Volume II is generalized to hold for all 50 (or 18 globally equivalent) local rules via complex and hyper Bernoulli wave dynamics. Explicit global state transition formulas derived for rules 60, 90, 105, and 150 reveal a new scale-free phenomenon. The most surprising new result unveiled in this volume is the “Isle of Eden” found hidden in most (almost 90%) of the 256 local rules. Readers are challenged to hunt for long-period, isolated Isles of Eden. These are rare gems waiting to be discovered.