Chaos : an introduction to dynamical systems
Author(s)
Bibliographic Information
Chaos : an introduction to dynamical systems
（Textbooks in mathematical sciences）
Springer, 2000, c1996
Corr. 3rd printing
- : pbk
Related Bibliography 1 items
Available at / 2 libraries
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The Institute for Solid State Physics Library. The University of Tokyo.図書室
: pbk421.4:C67210299967
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Note
Includes bibliographical references (p. 587-594) and index
Description and Table of Contents
Description
Developed and class-tested by a distinguished team of authors at two universities, this text is intended for courses in nonlinear dynamics in either mathematics or physics. The only prerequisites are calculus, differential equations, and linear algebra. 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 for use with any software package. And each chapter ends with a Challenge, guiding students through an advanced topic in the form of an extended exercise.
Table of Contents
One-Dimensional Maps.- Two-Dimensional Maps.- Chaos.- Fractals.- Chaos in Two-Dimensional Maps.- Chaotic Attractors.- Differential Equations.- Periodic Orbits and Limit Sets.- Chaos in Differential Equations.- Stable Manifolds and Crises.- Bifurcations.- Cascades.- State Reconstruction from Data.
by "Nielsen BookData"