Chaos An Introduction to Dynamical Systems /

• Main Authors: Alligood, Kathleen T. (Author), Sauer, Tim D. (Author), Yorke, James A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 1996.
• Series: Textbooks in Mathematical Sciences,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; System theory.; Analysis.; Complex Systems.; Statistical Physics and 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...

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.