TY  - BOOK
AU  - Hilborn, Robert C
TI  - Chaos and nonlinear dynamics : An introduction for scientists and engineers
SN  - 9780198507239
AV  - Q 172.5.C 
PY  - 2009///]
CY  - New York
PB  - Oxford Uni. Press
N1  - I THE PHENOMENOLOGY OF CHAOS 
1 Three Chaotic Systems
2 The Universality of Chaos

II TOWARD A THEORY OF NONLINEAR DYNAMICS AND CHAOS 
3 Dynamics in State Space: One and Two Dimensions
4 Three-Dimensional State Space and Chaos
5 Iterated Maps
6 Quasi-Periodicity and Chaos
7 Intermittency and Crises
8 Hamiltonian Systems

III MEASURES OF CHAOS 
9 Quantifying Chaos
10 Many Dimensions and Multifractals

IV SPECIAL TOPICS 
11 Pattern Formation and Spatiotemporal Chaos
12 Quantum Chaos, The Theory of Complexity, and Other Topics
N2  - This book introduces the full range of activity in the rapidly growing field of nonlinear dynamics. Using a step-by-step introduction to dynamics and geometry in state space as the central focus of understanding nonlinear dynamics, this book includes a thorough treatment of both differential equation models and iterated map models (including a detailed derivation of the famous Feigenbaum numbers). It includes the increasingly important field of pattern formation and a survey of the controversial question of quantum chaos. Important tools such as Lyapunov exponents, fractal dimensions, and correlation dimensions are treated in detail. Several appendices provide a detailed derivation of the Lorenz model from the Navier-Stokes equation, a summary of bifurcation theory, and some simple computer programs to study nonlinear dynamics. Each chapter includes an extensive, annotated bibliography
ER  -