Advanced Topics in the Theory of Dynamical Systems
Notes and Reports in Mathematics in Science and Engineering, Vol. 6
Published on 3. June 2016
278 pages
978-1-4832-1789-5 (ISBN)
Description
Advanced Topics in the Theory of Dynamical Systems covers the proceedings of the international conference by the same title, held at Villa Madruzzo, Trento, Italy on June 1-6, 1987. The conference reviews research advances in the field of dynamical systems. This book is composed of 20 chapters that explore the theoretical aspects and problems arising from applications of these systems. Considerable chapters are devoted to finite dimensional systems, with special emphasis on the analysis of existence of periodic solutions to Hamiltonian systems. Other chapters deal with infinite dimensional systems and the developments of methods in the general approach to existence and qualitative analysis problems in the general theory, as well as in the study of particular systems concerning natural sciences. The final chapters discuss the properties of hyperbolic sets, equivalent period doubling, Cauchy problems, and quasiperiodic solitons for nonlinear Klein-Gordon equations. This book is of value to mathematicians, physicists, researchers, and advance students.
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Advanced Topics in the Theory of Dynamical Systems
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01/1989
Academic Press
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Content
List of ContributorsPrefaceThe Solutions of the Nonlinear Klein-Gordon Equation Near a Steady StateGeneralized Melnikov Functions and Existence of Bounded Solutions in Systems with ParametersOn the Well-Posedness of the Euler flow in Bounded DomainsA New Proof of the Existence of a Brake OrbitSecond-Order Retarded Functional Differential Equations: Generic PropertiesAn Ergodic Decomposition of Invariant Measures for Discrete Semiflows on Standard Borel SpacesCenter Unstable Manifolds in Quasiperiodic and Averaging SystemsPeriodic Solutions of Hamiltonian Systems Near Equilibrium: Resonances and their DetuningOn Semigroups and PopulationCompact Attractors and Singular PerturbationsOn the Spectrum of Invariant Sets for Dissipative Semiflows and the Existence of Inertial ManifoldsA Characterization of Centres Via First IntegralsOn L2 Stability of Stationary Navier-Stokes Flow in Exterior DomainsOn the Ck-Integrability of some Toda-Like Hamiltonian SystemsHeteroclinic Connections in Parabolic EquationsOscillatory Solutions for First Order Delay-Differential EquationsHyperbolic Sets and Shadowing for Noninvertible MapsEquivariant Period DoublingSmooth Manifolds for Multiperiodic Cauchy Problems and Quasiperiodic Solitons for Nonlinear Klein-Gordon Equations on R2Some Remarks About Persistence for Differential Systems and Processes
