Chaos: An Introduction to Dynamical Systems
โ Scribed by Kathleen T. Alligood, Tim D. Sauer, James A. Yorke (auth.)
- Publisher
- Springer Berlin Heidelberg
- Year
- 1997
- Tongue
- English
- Leaves
- 619
- Series
- Textbooks in Mathematical Sciences
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Front Matter....Pages i-xvii
One-Dimensional Maps....Pages 1-42
Two-Dimensional Maps....Pages 43-104
Chaos....Pages 105-147
Fractals....Pages 149-191
Chaos in Two-Dimensional Maps....Pages 193-230
Chaotic Attractors....Pages 231-271
Differential Equations....Pages 273-327
Periodic Orbits and Limit Sets....Pages 329-358
Chaos in Differential Equations....Pages 359-397
Stable Manifolds and Crises....Pages 399-445
Bifurcations....Pages 447-498
Cascades....Pages 499-536
State Reconstruction from Data....Pages 537-556
Back Matter....Pages 557-603
โฆ Subjects
Analysis;Statistical Physics, Dynamical Systems and Complexity
๐ SIMILAR VOLUMES
This book discusses continuous and discrete nonlinear systems in systematic and sequential approaches. The unique feature of the book is its mathematical theories on flow bifurcations, nonlinear oscillations, Lie symmetry analysis of nonlinear systems, chaos theory, routes to chaos and multistable c
<div>The book discusses continuous and discrete systems in systematic and sequential approaches for all aspects of nonlinear dynamics. The unique feature of the book is its mathematical theories on flow bifurcations, oscillatory solutions, symmetry analysis of nonlinear systems and chaos theory. The
Chapter 1 First-order equations -- chapter 2 Planar linear systems -- chapter 3 Phase portraits for planar systems -- chapter 4 Classification on planar systems -- chapter 5 Higher-dimensional linear algebra -- chapter 6 Higher-dimensional linear systems -- chapter 7 Nonlinear systems -- chapter 8 E