Chaos An Introduction to Dynamical Systems

ISBN-10: 0387946772
ISBN-13: 9780387946771
Edition: 1996
List price: $64.95 Buy it from $19.34 Rent it from $17.96
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Description: Chaos: An Intoduction 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  More...

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Book details

List price: $64.95
Copyright year: 1996
Publisher: Springer
Publication date: 9/27/2000
Binding: Paperback
Pages: 604
Size: 7.25" wide x 9.50" long x 1.25" tall
Weight: 2.530
Language: English

Chaos: An Intoduction 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.

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

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