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Dynamics Reported: Expositions in Dynamical Systems /
Kategorie	Beschreibung
020	$a9783642799310$9978-3-642-79931-0
082	$a515$223
099	$aOnline resource: Springer
245	$aDynamics Reported$h[EBook] :$bExpositions in Dynamical Systems /$cedited by Christopher K. R. T. Jones, Urs Kirchgraber, Hans-Otto Walther.
260	$aBerlin, Heidelberg :$bSpringer Berlin Heidelberg,$c1996.
300	$aIX, 287 p.$bonline resource.
336	$atext$btxt$2rdacontent
337	$acomputer$bc$2rdamedia
338	$aonline resource$bcr$2rdacarrier
440	$aDynamics Reported, Expositions in Dynamical Systems,$x0936-6040 ;$v5
505	$aHyperbolicity and Exponential Dichotomy for Dynamical Systems -- 1. Introduction -- 2. The Main Lemma -- 3. The Linearization Theorem of Hartman and Grobman -- 4. Hyperbolic Invariant Sets: e-orbits and Stable Manifolds -- 5. Structural Stability of Anosov Diffeomorphisms -- 6. Periodic Points of Anosov Diffeomorphisms -- 7. Axiom A Diffeomorphisms: Spectral Decomposition -- 8. The In-Phase Theorem -- 9. Flows -- 10. Proof of Lemma 1 -- References -- Feedback Stabilizability of Time-Periodic ParabolicEquations -- 0. Introduction -- I. Linear Periodic Evolution Equations -- II. Controllability, Observability and Feedback Stabilizability -- III. Applications to Second Order Time-Periodic Parabolic Initial-Boundary Value Problems -- References -- Homoclinic Bifurcations with Weakly Expanding Center -- 1. Introduction -- 2. Hypotheses, a Reduction Principle and Basic Existence Theorems -- 3. Preliminaries -- 4. Proof of the Main Results in 2 -- 5. Simple Periodic Solutions -- 6. Bifurcations of Homoclinic Solutions with One-Dimensional Local Center Manifolds -- 7. Estimates Related to a Nondegenerate Hopf Bifurcation -- 8. Interaction of Homoclinic Bifurcation and Hopf Bifurcation -- 9. The Disappearance of Periodic and Aperiodic Solutions when ?2 Passes Through Turning Points -- References -- Homoclinic Orbits in a Four Dimensional Model of a Perturbed NLS Equation: A Geometric Singular Perturbation Study -- 1. Introduction -- 2. Geometric Structure and Dynamics of the Unperturbed System -- 3. Geometric Structure and Dynamics of the Perturbed System -- 4. Fiber Representations of Stable and Unstable Manifolds -- 5. Orbits Homoclinic to q€ -- 6. Numerical Study of Orbits Homoclinic to q€ -- 7. The Dynamical Consequences of Orbits Homoclinic to q€: The Existence and Nature of Chaos -- 8. Conclusion -- References.
520	$aThis book contains four excellent contributions on topics in dynamical systems by authors with an international reputation: "Hyperbolic and Exponential Dichotomy for Dynamical Systems", "Feedback Stabilizability of Time-periodic Parabolic Equations", "Homoclinic Bifurcations with Weakly Expanding Center Manifolds" and "Homoclinic Orbits in a Four-Dimensional Model of a Perturbed NLS Equation: A Geometric Singular Perturbation Study". All the authors give a careful and readable presentation of recent research results, addressed not only to specialists but also to a broader range of readers including graduate students.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700	$aJones, Christopher K. R. T.$eeditor.
700	$aKirchgraber, Urs.$eeditor.
700	$aWalther, Hans-Otto.$eeditor.
710	$aSpringerLink (Online service)
830	$aDynamics Reported, Expositions in Dynamical Systems,$x0936-6040 ;$v5
856	$uhttp://dx.doi.org/10.1007/978-3-642-79931-0