非線形力学とカオス(第2版)<br>Nonlinear Dynamics and Chaos (2ND)

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非線形力学とカオス(第2版)
Nonlinear Dynamics and Chaos (2ND)

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  • 製本 Hardcover:ハードカバー版/ページ数 437 p.
  • 言語 ENG
  • 商品コード 9780471876458
  • DDC分類 531.11

Full Description

Nonlinear dynamics and chaos involves the study of apparent random happenings within a system or process. The subject has wide applications within mathematics, engineering, physics and other physical sciences. Since the bestselling first edition was published, there has been a lot of new research conducted in the area of nonlinear dynamics and chaos.
* Expands on the bestselling, highly regarded first edition

* A new chapter which will cover the new research in the area since first edition

* Glossary of terms and a bibliography have been added

* All figures and illustrations will be 'modernised'

* Comprehensive and systematic account of nonlinear dynamics and chaos, still a fast-growing area of applied mathematics

* Highly illustrated

* Excellent introductory text, can be used for an advanced undergraduate/graduate course text

Contents

Introduction; Part I Basic Concepts of Nonlinear Dynamics; An overview of nonlinear phenomena; Point attractors in autonomous systems; Limit cycles in autonomous systems; Periodic attractors in driven oscillators; Chaotic attractors in forced oscillators; Stability and bifurcations of equilibria and cycles; Part II Iterated Maps as Dynamical Systems; Stability and bifurcation of maps; Chaotic behaviour of one-and two-dimensional maps; Part III Flows, Outstructures and Chaos; The Geometry of Recurrence; The Lorenz system; Rosslers band; Geometry of bifurcations; Part IV Applications in the Physical Sciences; Subharmonic resonances of an offshore structure; Chaotic motions of an impacting system; Escape from a potential well; Appendix: Codimension 1 Bifurcations; Illustrated Glossary.