Advanced Topics in the Theory of Dynamical Systems

Advanced Topics in the Theory of Dynamical Systems

Notes and Reports in Mathematics in Science and Engineering, Vol. 6

1st Edition - January 28, 1989

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  • Editors: G. Fusco, M. Iannelli, L. Salvadori
  • eBook ISBN: 9781483217895

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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


    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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