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Chaosan introduction to dynamical sy...

Alligood, Kathleen T.

Chaosan introduction to dynamical systems /

紀錄類型:	書目-電子資源 : 單行本
正題名/作者:	Chaos/ Kathleen T. Alligood, Tim D. Sauer, James A. Yorke.
其他題名:	an introduction to dynamical systems /
作者:	Alligood, Kathleen T.
其他作者:	Sauer, Tim.
出版者:	New York :Springer,�996.
面頁冊數:	1 online resource (xvii, 603 pages, [8] pages of color plates) :illustrations.
標題:	Differentiable dynamical systems. -
電子資源:	Click here for online access to this book (查閱全文) (EBSCO eBook)
ISBN:	0387224920 (electronic bk.)
ISBN:	9780387224923 (electronic bk.)

Chaosan introduction to dynamical systems /
Alligood, Kathleen T.

Chaosan introduction to dynamical systems /[electronic resource] :Kathleen T. Alligood, Tim D. Sauer, James A. Yorke. - New York :Springer,�996. - 1 online resource (xvii, 603 pages, [8] pages of color plates) :illustrations. - Textbooks in mathematical sciences. - Textbooks in mathematical sciences..

Includes bibliographical references (p. 587-594) and index.

Preface -- One-Dimensional Maps -- Two-dimensional Maps -- Chaos -- Fractals -- Chaos in Two-Dimensional Maps -- Chaotic Attractors -- Differential Equations -- Periodic Orbits and Limited Sets -- Chaos in Differential Equations -- Stable Manifolds and Crises -- Bifurcations -- Cascades -- State Reconstruction of Data -- Appendices A & B -- Answers and Hints to Selected Exercises -- Bibliography -- Index.

Chaos: An Introduction to Dynamical Systems, was developed and class-tested by a distinguished team of authors at two universities through their teaching of courses based on the material. Intended for courses in nonlinear dynamics offered either in Mathematics or Physics, the text requires only calculus, differential equations, and linear algebra as prerequisites. Along with discussions of the major topics, including discrete dynamical systems, chaos, fractals, nonlinear differential equations and bifurcations, the text also includes Lab Visits, short reports that illustrate relevant concepts from the physical, chemical and biological sciences. There are Computer Experiments throughout the text that present opportunities to explore dynamics through computer simulations, designed to be used with any software package. And each chapter ends with a Challenge, which provides students a tour through an advanced topic in the form of an extended exercise.

ISBN: 0387224920 (electronic bk.)Subjects--Topical Terms:

148880
Differentiable dynamical systems.
Index Terms--Genre/Form:

172687
Electronic books.

LC Class. No.: QA614.8 / .A44 1996eb

Dewey Class. No.: 515.39

Chaosan introduction to dynamical systems /
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