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Analysis and simulation of chaotic s...

Hoppensteadt, Frank C.1938-

Analysis and simulation of chaotic systems

レコード種別:	コンピュータ・メディア : 単行資料
タイトル / 著者:	Analysis and simulation of chaotic systems/ Frank C. Hoppensteadt.
著者:	Hoppensteadt, Frank C.
出版された:	New York :Springer,�000.
記述:	1 online resource (xx, 315 pages) :illustrations.
注記:	With 73 illustrations.
主題:	Chaotic behavior in systems. -
電子資源:	Click here for online access to this book (查閱全文) (EBSCO eBook)
国際標準図書番号 (ISBN):	0387226982 (electronic bk.)
国際標準図書番号 (ISBN):	9780387226989 (electronic bk.)

Analysis and simulation of chaotic systems
Hoppensteadt, Frank C.1938-

Analysis and simulation of chaotic systems[electronic resource] /Frank C. Hoppensteadt. - 2nd ed. - New York :Springer,�000. - 1 online resource (xx, 315 pages) :illustrations. - Applied mathematical sciences ;94. - Applied mathematical sciences (Springer-Verlag New York Inc.) ;v. 94..

With 73 illustrations.

Includes bibliographical references and index.

Linear systems -- Dynamical systems -- Stability methods for nonlinear systems -- Bifurcation and topological methods -- Regular perturbation methods -- Iterations and perturbations -- Methods of averaging -- Quasistatic-state approximations -- Supplementary exercises.

Beginning with realistic mathematical or verbal models of physical or biological phenomena, the author derives tractable mathematical models that are amenable to further mathematical analysis or to elucidating computer simulations. For the most part, derivations are based on perturbation methods. Because of this, the majority of the text is devoted to careful derivations of implicit function theorems, the method of averaging, and quasi-static state approximation methods. The duality between stability and perturbation is developed and used, relying heavily on the concept of stability under persistent disturbances. This explains why stability results developed for quite simple problems are often useful for more complicated, even chaotic, ones. Relevant topics about linear systems, nonlinear oscillations, and stability methods for difference, differential-delay, integro- differential and ordinary and partial differential equations are developed throughout the book. For the second edition, the author has restructured the chapters, placing special emphasis on introductory materials in Chapters 1 and 2 as distinct from presentation materials in Chapters 3 through 8. In addition, more material on bifurcations from the point of view of canonical models, sections on randomly perturbed systems, and several new computer simulations have been added.

ISBN: 0387226982 (electronic bk.)Subjects--Topical Terms:

148371
Chaotic behavior in systems.
Index Terms--Genre/Form:

172687
Electronic books.

LC Class. No.: QA1 / .A647 vol. 94 2000

Dewey Class. No.: 510

Analysis and simulation of chaotic systems
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