Title | Dynamics of Infinite Dimensional Systems [electronic resource] / edited by Shui-Nee Chow, Jack K. Hale |
---|---|
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1987 |
Connect to | http://dx.doi.org/10.1007/978-3-642-86458-2 |
Descript | IX, 514 p. online resource |
Semilinear Parabolic Systems Under Nonlinear Boundary Conditions -- The Shadowing Lemma for Elliptic PDE -- Coagulation-Fragmentation Dynamics -- Functional Differential Equations and Jensenโs Inequality -- Method of Upper and Lower Solutions for Nonlinear Integral Equations and an Application to an Infectious Disease Model -- Competition of Azimuthal Modes and Quasi-Periodic Flows in the Couette-Taylor Problem -- On Bifurcation for Variational Problems -- Nilpotent Normal Form in Dimension 4 -- Perturbed Dual Semigroups and Delay Equations -- On Operators Which Leave Invariant a Half-Space -- Global Hopf Bifurcation in Reaction Diffusion Systems with Symmetry -- Longtime Behavior for a Class of Abstract Integrodifferential Equations -- Describing the Flow on the Attractor of One Dimensional Reaction Diffusion Equations by Systems of ODE -- Asymptotic Behavior of Gradient Dissipative Systems -- Generic Properties of Equilibrium Solutions by Perturbation of the Boundary -- Complex Analytical Methods in RFDE Theory -- Qualitative Behavior of the Solutions of Periodic First Order Scalar Differential Equations with Strictly Convex Coercive Nonlinearity -- The Spectrum of Invariant Sets for Dissipative Semiflows -- Approximate Solutions to Conservation Laws via Convective Parabolic Equations: Analytical and Numerical Results -- Conleyโs Connection Matrix -- Existence and Non-Existence of Finite-Dimensional Globally Attracting Invariant Manifolds in Semilinear Damped Wave Equations -- SL E P Method to the Stability of Singularly Perturbed Solutions with Multiple Internal Transition Layers in Reaction-Diffusion Systems -- Iterated Nonlinear Maps and Hilbertโs Projective Metric: A Summary -- Jacobi Matrices and Transversality -- Examples of Attractors in Scalar Reaction-Diffusion Equations -- Gauge Theory of Backlund Transformations, I -- Recent Developments in the Theory of Nonlinear Scalar First and Second Order Partial Differential Equations -- Hopf Bifurcation for an Infinite Delay Functional Equation -- A Numerical Analysis of the Structure of Periodic Orbits in Autonomous Functional Differential Equations -- Oscillations and Asymptotic Behaviour for two Semilinear Hyperbolic Systems -- An Application of the Conley Index to Combustion -- Path Continuation โ A Sensitivity Analysis Approach -- Confinor and Anti-confinor in Constrained โLorenzโ System -- Invariant Manifolds in Infinite Dimensions -- Linearizing Completely Integrable Systems on Complex Algebraic Tori -- On Some Dynamical Aspects of Parabolic Equations with Variable Domain -- Bifurcation from Homoclinic to Periodic Solutions by an Inclination Lemma with Pointwise Estimate -- Approximate Methods for Set Valued Differential Equations with Delays -- Bounds for the Chaotic Behavior of Newtonโs Method -- List of Participants