TY  - DATA
AU  - Hilborn, R. C.
TI  - Chaos and Nonlinear Dynamics: : An Introduction for Scientists and Engineers
SN  - 9780198507239
U1  - 003.857 
PY  - 2000///
CY  - New York
PB  - : Oxford University Press
KW  - Chaos
KW  - Mathematical
KW  - Nonlinear Dynamics
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
UR  - http://dx.doi.org/10.1093/acprof:oso/9780198507239.001.0001
ER  -