大葉大學圖書館 |

Nonlinear dynamics :a primer /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515/.352
書名/作者:	Nonlinear dynamics : : a primer // Alfredo Medio, Marji Lines.
作者:	Medio, Alfredo,
其他作者:	Lines, M.
面頁冊數:	1 online resource (xiii, 300 pages) : : digital, PDF file(s).
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Differentiable dynamical systems.
標題:	Nonlinear theories.
ISBN:	9780511754050 (ebook)
內容註:	Statics and dynamics : some elementary concepts -- Review of linear systems -- Stability of fixed points -- Invariant and attracting sets, periodic and quasiperiodic orbits -- Local bifurcations -- Chaotic sets and chaotic attractors -- Characteristic exponents, fractals, homoclinic orbits -- Transition to chaos -- The ergodic approach -- Deterministic systems and stochastic processes.
摘要、提要註:	A systematic and comprehensive introduction to the study of nonlinear dynamical systems, in both discrete and continuous time, for nonmathematical students and researchers working in applied fields. An understanding of linear systems and the classical theory of stability are essential although basic reviews of the relevant material are provided. Further chapters are devoted to the stability of invariant sets, bifurcation theory, chaotic dynamics and the transition to chaos. In the final two chapters the authors approach the subject from a measure-theoretical point of view and compare results to those given for the geometrical or topological approach of the first eight chapters. Includes about one hundred exercises. A Windows-compatible software programme called DMC, provided free of charge through a website dedicated to the book, allows readers to perform numerical and graphical analysis of dynamical systems. Also available on the website are computer exercises and solutions to selected book exercises. See www.cambridge.org/economics/resources
電子資源:	http://dx.doi.org/10.1017/CBO9780511754050

Nonlinear dynamics :a primer /
Medio, Alfredo,1938-

Nonlinear dynamics :a primer /Alfredo Medio, Marji Lines. - 1 online resource (xiii, 300 pages) :digital, PDF file(s).

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Statics and dynamics : some elementary concepts -- Review of linear systems -- Stability of fixed points -- Invariant and attracting sets, periodic and quasiperiodic orbits -- Local bifurcations -- Chaotic sets and chaotic attractors -- Characteristic exponents, fractals, homoclinic orbits -- Transition to chaos -- The ergodic approach -- Deterministic systems and stochastic processes.

A systematic and comprehensive introduction to the study of nonlinear dynamical systems, in both discrete and continuous time, for nonmathematical students and researchers working in applied fields. An understanding of linear systems and the classical theory of stability are essential although basic reviews of the relevant material are provided. Further chapters are devoted to the stability of invariant sets, bifurcation theory, chaotic dynamics and the transition to chaos. In the final two chapters the authors approach the subject from a measure-theoretical point of view and compare results to those given for the geometrical or topological approach of the first eight chapters. Includes about one hundred exercises. A Windows-compatible software programme called DMC, provided free of charge through a website dedicated to the book, allows readers to perform numerical and graphical analysis of dynamical systems. Also available on the website are computer exercises and solutions to selected book exercises. See www.cambridge.org/economics/resources

ISBN: 9780511754050 (ebook)Subjects--Topical Terms:

381053
Differentiable dynamical systems.

LC Class. No.: QA614.8 / .M428 2001

Dewey Class. No.: 515/.352

Nonlinear dynamics :a primer /
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505 0 $a Statics and dynamics : some elementary concepts -- Review of linear systems -- Stability of fixed points -- Invariant and attracting sets, periodic and quasiperiodic orbits -- Local bifurcations -- Chaotic sets and chaotic attractors -- Characteristic exponents, fractals, homoclinic orbits -- Transition to chaos -- The ergodic approach -- Deterministic systems and stochastic processes.
520 $a A systematic and comprehensive introduction to the study of nonlinear dynamical systems, in both discrete and continuous time, for nonmathematical students and researchers working in applied fields. An understanding of linear systems and the classical theory of stability are essential although basic reviews of the relevant material are provided. Further chapters are devoted to the stability of invariant sets, bifurcation theory, chaotic dynamics and the transition to chaos. In the final two chapters the authors approach the subject from a measure-theoretical point of view and compare results to those given for the geometrical or topological approach of the first eight chapters. Includes about one hundred exercises. A Windows-compatible software programme called DMC, provided free of charge through a website dedicated to the book, allows readers to perform numerical and graphical analysis of dynamical systems. Also available on the website are computer exercises and solutions to selected book exercises. See www.cambridge.org/economics/resources
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