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＜電子ブック＞
Geometric Theory of Dynamical Systems : An Introduction / by J. Jr. Palis, W. de Melo

版	1st ed. 1982.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	1982
大きさ	XII, 198 p : online resource
著者標目	*Palis, J. Jr author Melo, W. de author SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:Mathematical physics FREE:Mathematics FREE:Theoretical, Mathematical and Computational Physics
一般注記	1 Differentiable Manifolds and Vector Fields -- §0 Calculus in ?n and Differentiable Manifolds -- §1 Vector Fields on Manifolds -- §2 The Topology of the Space of Cr Maps -- §3 Transversality -- §4 Structural Stability -- 2 Local Stability -- §1 The Tubular Flow Theorem -- §2 Linear Vector Fields -- §3 Singularities and Hyperbolic Fixed Points -- §4 Local Stability -- §5 Local Classification -- §6 Invariant Manifolds -- §7 The ?-lemma (Inclination Lemma). Geometrical Proof of Local Stability -- 3 The Kupka-Smale Theorem -- §1 The Poincaré Map -- §2 Genericity of Vector Fields Whose Closed Orbits Are Hyperbolic -- §3 Transversality of the Invariant Manifolds -- 4 Genericity and Stability of Morse-Smale Vector Fields -- §1 Morse-Smale Vector Fields; Structural Stability -- §2 Density of Morse-Smale Vector Fields on Orientable Surfaces -- §3 Generalizations -- §4 General Comments on Structural Stability. Other Topics -- References HTTP:URL=https://doi.org/10.1007/978-1-4612-5703-5

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