Dynamics in infinite dimensions. Appendix by Krzysztof P. Rybakowski.

From MaRDI portal
Publication:1614989

zbMath1002.37002MaRDI QIDQ1614989

Jack K. Hale, Luis T. Magalhães, Waldyr Muniz Oliva

Publication date: 10 September 2002

Published in: Applied Mathematical Sciences (Search for Journal in Brave)




Related Items

Schoenflies spheres as boundaries of bounded unstable manifolds in gradient Sturm systemsSpectral convergence and nonlinear dynamics of reaction-diffusion equations under perturbations of the domainStability switches and multistability coexistence in a delay-coupled neural oscillators systemExistence and robustness of exponential dichotomy of linear skew-product semiflows over semiflowsAn iteration method for calculating the periodic solution of time-delay systems after a Hopf bifurcationSemicontinuity of attractors for impulsive dynamical systemsDissipation and compact attractorsConvergence of the wave equation damped on the interior to the one damped on the boundaryConley index for manifold-valued retarded functional differential equations without uniqueness of solutionsSturm 3-ball global attractors 3: examples of Thom-Smale complexesMulti-parameter bifurcations of the Kaldor-Kalecki model of business cycles with delayNoncompact global attractors for scalar reaction-diffusion equationsThe stability of attractors for non-autonomous perturbations of gradient-like systemsResponse solution to ill-posed Boussinesq equation with quasi-periodic forcing of Liouvillean frequencyOn the asymptotic behavior of the solutions of semilinear nonautonomous equationsDynamics and control at feedback vertex sets. I: Informative and determining nodes in regulatory networksReducible Volterra and Levin-Nohel retarded equations with infinite delayStability theory of general contractions for delay equationsLipschitz perturbations of Morse-Smale semigroupsFinite-dimensional global attractors in Banach spacesIntegral manifolds for semilinear evolution equations and admissibility of function spacesGeneric Morse-Smale property for the parabolic equation on the circleA generalisation of a theorem of O. Perron for semilinear evolution equationsParameter dependence of stable manifolds for delay equations with polynomial dichotomiesInduced delay equationsZero-Hopf singularity for general delayed differential equationsTopological equivalence of global attractors for Lipschitz perturbations of the Chafee-Infante equationStable manifolds for delay equations and parameter dependenceAn a posteriori KAM theorem for whiskered tori in Hamiltonian partial differential equations with applications to some ill-posed equationsStable invariant manifolds for delay equations with piecewise constant argumentAn estimate on the fractal dimension of attractors of gradient-like dynamical systemsA permutation characterization of Sturm global attractors of Hamiltonian typeAttractors and finite-dimensional behaviour in the 2D Navier-Stokes equationsLyapunov type equation for discrete exponential trichotomiesPeriodicity and stability of solutions to neutral differential equations with $\varphi $-Lipschitz and infinite delaysRealization of period maps of planar Hamiltonian systemsBogdanov-Takens bifurcation in a predator-prey modelTakens-Bogdanov singularity for age structured modelsPeriodic solutions to partial neutral functional differential equations in admissible spaces on a half-lineConnectivity and design of planar global attractors of Sturm type. II: Connection graphsOn a definition of Morse-Smale evolution processesTopological instabilities in families of semilinear parabolic problems subject to nonlinear perturbationsBall-covering property of Banach spaces that is not preserved under linear isomorphismsNetworks of diffusively time-delay coupled systems: Conditions for synchronization and its relation to the network topologyStability and bifurcation in a harmonic oscillator with delaysStability of delay equations via Lyapunov functionsOutput regulation for the TORA benchmark via rotational position feedbackPortfolio optimization with two coherent risk measuresDistance of attractors of reaction-diffusion equations in thin domainsSturm 3-ball global attractors. 1: Thom-Smale complexes and meandersAsymptotic Analysis and Observer Design in the Theory of Nonlinear Output RegulationBifurcations and multiple traffic jams in a car-following model with reaction-time delayA Morse-Smale ordinary differential equation in \(\mathbb{R}^N\)Connectivity and design of planar global attractors of Sturm type. III: Small and platonic examplesAn example of Bautin-type bifurcation in a delay differential equationInvariant manifolds of admissible classes for semi-linear evolution equationsStable manifolds for semi-linear evolution equations and admissibility of function spaces on a half-lineStrange Attractors for Periodically Forced Parabolic EquationsSturm 3-ball global attractors 2: design of Thom-Smale complexesDiscretized characterizations of exponential dichotomy of linear skew-product semiflows over semiflowsTopological stability of Chafee-Infante equations under Lipschitz perturbations of the domain and equationEvery Banach space with a \(w^{*}\)-separable dual has a \(1+\varepsilon\)-equivalent norm with the ball covering propertyStability of nonautonomous differential equations in Hilbert spacesBifurcations in predator-prey systems with nonmonotonic functional responseHopf bifurcations in time-delay systems with band-limited feedbackLipschitz perturbations of the Chafee-Infante equationNonautonomous perturbations of Morse-Smale semigroups: stability of the phase diagramBoundary orders and geometry of the signed Thom-Smale complex for Sturm global attractorsEvolution maps for delay-difference equationsGlobal attractors for impulsive dynamical systems - a precompact approachStability and bifurcation in a harvested one-predator--two-prey model with delaysHomotopy invariants methods in the global dynamics of strongly damped wave equation