000			03000nam a2200301Ia 4500
003			OSt
005			20260106120453.0
008			220909b |||||||| |||| 00| 0 eng d
020			_a8188689165
037			_cTextbook
040			_aCSL _beng _cCSL
041			_aeng
084			_aB7:355 P5 TB _qCSL
100			_aSolari, H G _9862117
245		0	_aNonlinear dynamics: A two-way trip from physics to math
260			_aNew Delhi, _bOverseas Press India Private Limited: _c2005.
300			_axviii, 347p. _b: ill.
500			_aBibliographical references 335-342p.; Index 343-347p.
520			_aAcknowledgments Preface Nonlinear dynamics in nature - Hiking among rabbits, Turbulence, Benard instability, Dynamics of a modulated laser, Tearing of plasma sheet, Summary Linear dynamics - Introduction, Why linear dynamics?, Linear flows, Summary, Additional exercise Nonlinear examples - Preliminary comments, A model for the CO2 Laser, Duffering oscillator, The Lorenz equations, Summary, Additional exercises Elements of the description - Introduction, Basic elements, Poincare sections, Maps and dynamics, Parameter dependence, Summary, Additional exercise Elementary stability theory - Introduction, Fixed point stability, The validity of the linearization procedure, Maps and periodic orbits, Structural stability, Summary, Additional exercise Bi-dimensional flows - Limit sets, Transverse sections and sequences, Poincare - Bendixson theorem, Structural Stability, Summary Bifurcations - The bifurcation programme, Equivalence between flows, Conditions for fixed point bifurcations, Reduction to the centre manifold, Normal forms, Additional exercise Numerical experiments - Period-doubling cascades, Torus break up, Homoclinic explosions in the Lorenz systems, chaos and other phenomena, Summary Global bifurcations - Transverse homoclinic orbits, Homoclinic tangencies, Homoclinic tangles and horseshoes, Heteroclinic tangles, SummaryHorseshoes - The invariant set, Cantor sets, Symbolic dynamics, Horseshoes and attractors, Hyperbolicity, Structural stability, Summary, Addtional exercise One-dimensional Maps - Unimodal maps of the interval, Elementary kneading theory, Parametric families of unimodal maps, Summary Topological structure of three-dimensional flows - Introduction, Forced oscillators and two dimensional maps, Topological invariants, Orbits that imply chaos, Horseshoe formation, Topological classification of strange attractors, Summary The dynamics behind data - Introduction and motivation, Characterization of chaotic time series, Is this data set chaotic?, , Summar
650			_a Mechanics _9862118
650			_a Nonlinear dynamics _9862119
650			_aMathematics _9862120
700			_aSolari, H G _9862117
700			_aMindlin, G B _9862121
700			_aNatiello, M A _9862122
942			_hB7:355 P5 TB _cTB _2CC _n0
999			_c28053 _d28053