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Perspectives Of Nonlinear Dynamics


Perspectives Of Nonlinear Dynamics
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Perspectives Of Nonlinear Dynamics Volume 1


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


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.




Perspectives Of Nonlinear Dynamics Volume 2


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


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


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


Nonlinear Dynamics And Chaos
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Author : Steven H. Strogatz
language : en
Publisher: CRC Press
Release Date : 2018-05-04

Nonlinear Dynamics And Chaos written by Steven H. Strogatz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Mathematics categories.


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.



Perspectives Of Nonlinear Dynamics Volume 2


Perspectives Of Nonlinear Dynamics Volume 2
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Author : E. Atlee Jackson
language : en
Publisher: Cambridge University Press
Release Date : 1990-08-09

Perspectives Of Nonlinear Dynamics Volume 2 written by E. Atlee Jackson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-08-09 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 and its companion volume, Perspectives of nonlinear dynamics, volume 1, the perspectives generated by analytical, topological and computational methods, and interplays between them, are developed in a variety of contexts. The presentation and style is intended to stimulate the reader's imagination to apply these methods to a host of problems and situations. The text is complemented by copious references, extensive historical and bibliographical notes, exercises and examples, and appendices giving more details of some mathematical ideas. Each chapter includes an extensive section commentary on the exercises and their solution. Graduate students and research workers in physics, applied mathematics, chemistry, biology and engineering will welcome these volumes as the first broad introduction to this important major field of research.



Perspectives Of Nonlinear Dynamics Volume 1


Perspectives Of Nonlinear Dynamics Volume 1
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Author : E. Atlee Jackson
language : en
Publisher: Cambridge University Press
Release Date : 1992-01-31

Perspectives Of Nonlinear Dynamics Volume 1 written by E. Atlee Jackson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-31 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.



The Dynamics Of Physiologically Structured Populations


The Dynamics Of Physiologically Structured Populations
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Author : Johan A. Metz
language : en
Publisher: Springer
Release Date : 2014-03-11

The Dynamics Of Physiologically Structured Populations written by Johan A. Metz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-11 with Mathematics categories.




New Perspectives On Nonlinear Dynamics And Complexity


New Perspectives On Nonlinear Dynamics And Complexity
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Author : Dimitri Volchenkov
language : en
Publisher: Springer Nature
Release Date : 2022-07-29

New Perspectives On Nonlinear Dynamics And Complexity written by Dimitri Volchenkov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-29 with Technology & Engineering categories.


This book presents select, recent developments in nonlinear and complex systems reported at the 1st Online Conference on Nonlinear Dynamics and Complexity, held on November 23-25, 2020. It provides an exchange recent developments, discoveries, and progresses in Nonlinear Dynamics and Complexity. The collection presents fundamental and frontier theories and techniques for modern science and technology, stimulates more research interest for exploration of nonlinear science and complexity; and passes along new knowledge and insight to the next generation of engineers and technologists in a range of fields.