Chaos and Nonlinear Dynamics : An Introduction for Scientists and Engineers / by R. C. Hilborn. [Electronic Resource]
Material type: Computer filePublication details: New York : Oxford University Press, 2000ISBN:- 9780198507239
- 003.857 H543C
Item type | Home library | Collection | Call number | Status | Notes | Date due | Barcode | Item holds | |
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e-Book | S. R. Ranganathan Learning Hub Online | Textbook | 003.857 H543C (Browse shelf(Opens below)) | Available (e-Book For Access) | Platform : Oxford Academic | EB0544 |
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.
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