Connection Between Infinite Dimensional and Finite Dimensional Dynamical Systems.

Intro -- Contents -- Preface -- Dynamical systems in infinite dimension -- A construction of inertial manifolds -- Analytic structure of dynamical systems -- Hausdorff and Lyapunov dimensions for gradient systems -- Persistent heteroclinic orbits -- Orientation of saddle connections for a reaction diffusion equation -- Finite dimensionality in the complex Ginzburg-Landau equation -- Periodic dynamical system with application to Sine-Gordon equations: Estimates on the fractal dimension of the universal attractor -- Inertial manifolds for models of compressible gas dynamics -- Existence and finite-dimensionality of universal attractors for the Landau-Lifschitzequations of ferromagnetism -- The nonlinear Schrodinger equation-singularity formation, stability and dispersion -- Formal stability of two-dimensional self-gravitating rotating disks -- A deterministic approach towards self-organization in continuous media -- Low dimensional description of complicated phenomena -- Using dynamic embedding methods to analyze experimental data -- Global bifurcations in maps of the plane and in Rayleigh-Bénard convection -- A model of double-diffusive convection with periodic boundary conditions -- Controversies concerning finite/infinite sequences of fluid corner vortices.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.