000			01957nam a22001937a 4500
003			OSt
005			20240827105127.0
008			200107b ||||| |||| 00| 0 eng d
020			_a9780198507239
040			_cTata Book House _aICTS-TIFR
050			_aQ 172.5.C
100			_aHilborn, Robert C
245			_aChaos and nonlinear dynamics _bAn introduction for scientists and engineers
260			_aNew York: _bOxford Uni. Press, _c[c2009]
300			_a650 p
505			_aI 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
520			_aThis 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.
942			_2lcc _cBK
999			_c2978 _d2978