Chaos and Nonlinear Dynamics : An Introduction for Scientists and Engineers
Hilborn, R. C.
Chaos and Nonlinear Dynamics : An Introduction for Scientists and Engineers [Electronic Resource] / by R. C. Hilborn. - New York : Oxford University Press, 2000
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.
9780198507239
Chaos
Mathematical
Nonlinear Dynamics
003.857 / H543C
Chaos and Nonlinear Dynamics : An Introduction for Scientists and Engineers [Electronic Resource] / by R. C. Hilborn. - New York : Oxford University Press, 2000
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.
9780198507239
Chaos
Mathematical
Nonlinear Dynamics
003.857 / H543C