An Exploration of Dynamical Systems and Chaos: Completely Revised and Enlarged Second Edition

This book is conceived as a comprehensive and detailed text-book on non-linear dynamical systems with particular emphasis on the exploration of chaotic phenomena. The self-contained introductory presentation is addressed both to those who wish to study the physics of chaotic systems and non-linear d...

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Những tác giả chính: Argyris, J, Faust, G, Haase, M, Friedrich, R
Định dạng: Sách
Ngôn ngữ:English
Được phát hành: Springer 2016
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spelling oai:scholar.dlu.edu.vn:DLU123456789-599062023-11-11T06:57:12Z An Exploration of Dynamical Systems and Chaos: Completely Revised and Enlarged Second Edition Argyris, J Faust, G Haase, M Friedrich, R Engineering Complexity Complex Systems This book is conceived as a comprehensive and detailed text-book on non-linear dynamical systems with particular emphasis on the exploration of chaotic phenomena. The self-contained introductory presentation is addressed both to those who wish to study the physics of chaotic systems and non-linear dynamics intensively as well as those who are curious to learn more about the fascinating world of chaotic phenomena. Basic concepts like Poincaré section, iterated mappings, Hamiltonian chaos and KAM theory, strange attractors, fractal dimensions, Lyapunov exponents, bifurcation theory, self-similarity and renormalisation and transitions to chaos are thoroughly explained. To facilitate comprehension, mathematical concepts and tools are introduced in short sub-sections. The text is supported by numerous computer experiments and a multitude of graphical illustrations and colour plates emphasising the geometrical and topological characteristics of the underlying dynamics. 2016-03-28T07:01:36Z 2016-03-28T07:01:36Z 2015 Book 978-3-662-46042-9 978-3-662-46041-2 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59906 en application/pdf Springer
institution Thư viện Trường Đại học Đà Lạt
collection Thư viện số
language English
topic Engineering
Complexity
Complex Systems
spellingShingle Engineering
Complexity
Complex Systems
Argyris, J
Faust, G
Haase, M
Friedrich, R
An Exploration of Dynamical Systems and Chaos: Completely Revised and Enlarged Second Edition
description This book is conceived as a comprehensive and detailed text-book on non-linear dynamical systems with particular emphasis on the exploration of chaotic phenomena. The self-contained introductory presentation is addressed both to those who wish to study the physics of chaotic systems and non-linear dynamics intensively as well as those who are curious to learn more about the fascinating world of chaotic phenomena. Basic concepts like Poincaré section, iterated mappings, Hamiltonian chaos and KAM theory, strange attractors, fractal dimensions, Lyapunov exponents, bifurcation theory, self-similarity and renormalisation and transitions to chaos are thoroughly explained. To facilitate comprehension, mathematical concepts and tools are introduced in short sub-sections. The text is supported by numerous computer experiments and a multitude of graphical illustrations and colour plates emphasising the geometrical and topological characteristics of the underlying dynamics.
format Book
author Argyris, J
Faust, G
Haase, M
Friedrich, R
author_facet Argyris, J
Faust, G
Haase, M
Friedrich, R
author_sort Argyris, J
title An Exploration of Dynamical Systems and Chaos: Completely Revised and Enlarged Second Edition
title_short An Exploration of Dynamical Systems and Chaos: Completely Revised and Enlarged Second Edition
title_full An Exploration of Dynamical Systems and Chaos: Completely Revised and Enlarged Second Edition
title_fullStr An Exploration of Dynamical Systems and Chaos: Completely Revised and Enlarged Second Edition
title_full_unstemmed An Exploration of Dynamical Systems and Chaos: Completely Revised and Enlarged Second Edition
title_sort exploration of dynamical systems and chaos: completely revised and enlarged second edition
publisher Springer
publishDate 2016
url https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59906
_version_ 1819800738370420736