000			03076cam a2200421 a 4500
999			_c3193
001			13001533
003			EC-UrYT
005			20200513145714.0
006			s||||gr|||| 00| 00
008			021114s2003 nyua b 001 0 eng
010			_a 2002042742
020			_a9780387001777
040			_aDLC _cDLC _dEc-UrYT
041			_aeng
050	0	0	_aQA614.8 _b.W544 2003
082	0	4	_a515.352 _223
100			_aWiggins, Stephen _96518
245	1	0	_aIntroduction to applied nonlinear dynamical systems and chaos / _cStephen Wiggins.
250			_aSecond edition
264	3	4	_aNew York : _bSpringer, _c2003.
300			_axix, 843 pages : _billustrations ; _c25 cm.
490			_aTexts in applied mathematics _vv. 2
500			_aIncludes index
504			_aIncludes bibliographical references and index.
505	2		_aEquilibrium Solutions, Stability, and Linearized Stability -- Liapunov Functions -- Invariant Manifolds: Linear and Nonlinear Systems -- Periodic Orbits -- Vector Fields Possessing an Integral -- Index Theory -- Some General Properties of Vector Fields: Existence, Uniqueness, Differentiability, and Flows -- Asymptotic Behavior -- The Poincare-Bendixson Theorem -- Poincare Maps -- Conjugacies of Maps, and Varying the Cross-Section -- Structural Stability, Genericity, and Transversality -- Lagrange's Equations -- Hamiltonian Vector Fields -- Gradient Vector Fields -- Reversible Dynamical Systems -- Asymptotically Autonomous Vector Fields -- Center Manifolds -- Normal Forms -- Bifurcation of Fixed Points of Vector Fields -- Bifurcations of Fixed Points of Maps -- On the Interpretation and Application of Bifurcation Diagrams: A Word of Caution -- The Smale Horseshoe -- Symbolic Dynamics -- The Conley -- Moser Conditions, or "How to Prove That a Dynamical System is Chaotic" -- Dynamics Near Homoclinic Points of Two-Dimensional Maps -- Orbits Homoclinic to Hyperbolic Fixed Points in Three-Dimensional Autonomous Vector Fields -- Melnikov's Method for Homoclinic Orbits in Two-Dimensional, Time-Periodic Vector Fields -- Liapunov Exponents -- Chaos and Strange Attractors -- Hyperbolic Invariant Sets: A Chaotic Saddle -- Long Period Sinks in Dissipative Systems and Elliptic Islands in Conservative Systems -- Global Bifurcations Arising from Local Codimension -- Two Bifurcations.
520	3		_aThis volume is intended for advanced undergraduate or first-year graduate students as an introduction to applied nonlinear dynamics and chaos.
650		0	_aDifferentiable dynamical systems _92293
650		0	_aSistemas dinámicos diferenciables _92962
650		0	_aNonlinear theories _95197
650		0	_aChaotic behavior in systems _92124
856	4	2	_3Publisher description _uhttp://www.loc.gov/catdir/enhancements/fy0817/2002042742-d.html
856	4	1	_3Table of contents only _uhttp://www.loc.gov/catdir/enhancements/fy0817/2002042742-t.html
942			_2ddc _cLIBRO