Advanced Topics in the Theory of Dynamical Systems
Notes and Reports in Mathematics in Science and Engineering, Vol. 6
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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.
Table of Contents
List of Contributors
Preface
The Solutions of the Nonlinear Klein-Gordon Equation Near a Steady State
Generalized Melnikov Functions and Existence of Bounded Solutions in Systems with Parameters
On the Well-Posedness of the Euler flow in Bounded Domains
A New Proof of the Existence of a Brake Orbit
Second-Order Retarded Functional Differential Equations: Generic Properties
An Ergodic Decomposition of Invariant Measures for Discrete Semiflows on Standard Borel Spaces
Center Unstable Manifolds in Quasiperiodic and Averaging Systems
Periodic Solutions of Hamiltonian Systems Near Equilibrium: Resonances and their Detuning
On Semigroups and Population
Compact Attractors and Singular Perturbations
On the Spectrum of Invariant Sets for Dissipative Semiflows and the Existence of Inertial Manifolds
A Characterization of Centres Via First Integrals
On L2 Stability of Stationary Navier-Stokes Flow in Exterior Domains
On the Ck-Integrability of some Toda-Like Hamiltonian Systems
Heteroclinic Connections in Parabolic Equations
Oscillatory Solutions for First Order Delay-Differential Equations
Hyperbolic Sets and Shadowing for Noninvertible Maps
Equivariant Period Doubling
Smooth Manifolds for Multiperiodic Cauchy Problems and Quasiperiodic Solitons for Nonlinear Klein-Gordon Equations on R2
Some Remarks About Persistence for Differential Systems and Processes
Product details
- No. of pages: 278
- Language: English
- Copyright: © Academic Press 1989
- Published: January 28, 1989
- Imprint: Academic Press
- eBook ISBN: 9781483217895
About the Editors
G. Fusco
M. Iannelli
L. Salvadori
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