On the local structure of \(\omega\)-limit sets of maps

zbMath0889.34048MaRDI QIDQ1376352

Pavol Brunovský, Peter Poláčik

Publication date: 1 June 1998

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

Banach spacelocal structure\(\omega\)-limit

Mathematics Subject Classification ID

Topological dynamics (37B99) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Attractors of solutions to ordinary differential equations (34D45) Ordinary differential equations and systems on manifolds (34C40)

Related Items

Quasistatic nonlinear viscoelasticity and gradient flows, Threshold behavior and non-quasiconvergent solutions with localized initial data for bistable reaction-diffusion equations, A simple unified approach to some convergence theorems of L. Simon, Convergence to steady states in asymptotically autonomous semilinear evolution equations., On the Łojasiewicz--Simon gradient inequality., Convergence to steady states of solutions to nonlinear integral evolution equations, Convergence to a steady state for asymptotically autonomous semilinear heat equations on \(\mathbb R^N\), Global dynamics of triangular maps, Hierarchical competition models with Allee effects, Convergence to steady states of solutions of non-autonomous heat equations in \(\mathbb R^N\), Convergence of global and bounded solutions of some nonautonomous second order evolution equations with nonlinear dissipation, Convergence of global and bounded solutions of the wave equation with linear dissipation and analytic nonlinearity