Chaos : An Introduction to Dynamical Systems

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 calc...

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Main Authors: Alligood, Kathleen T., Sauer, Tim D. (Author), Yorke, James A. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY Springer New York 1996, 1996
Edition:1st ed. 1996
Series:Textbooks in Mathematical Sciences
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Chaos  |h Elektronische Ressource  |b An Introduction to Dynamical Systems  |c by Kathleen T. Alligood, Tim D. Sauer, James A. Yorke 
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505 0 |a 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 
653 |a Mathematical analysis 
653 |a Statistical physics 
653 |a Complex Systems 
653 |a Statistical Physics and Dynamical Systems 
653 |a Analysis (Mathematics) 
653 |a Dynamical systems 
653 |a Analysis 
700 1 |a Sauer, Tim D.  |e [author] 
700 1 |a Yorke, James A.  |e [author] 
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520 |a 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