Chaos An Introduction to Dynamical Systems 1st edition by Kathleen Alligood, Tim Sauer, James Yorke – Ebook PDF Instant Download/Delivery: 0387224923, 978-0387224923
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Product details:
ISBN 10: 0387224923
ISBN 13: 978-0387224923
Author: Kathleen Alligood, Tim Sauer, James Yorke
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.
Chaos An Introduction to Dynamical Systems 1st 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
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Tags: Kathleen Alligood, Tim Sauer, James Yorke, An Introduction, Dynamical Systems