The inflation of attractors and their discretization: The autonomous case

DOI10.1016/S0362-546X(00)85020-8zbMath0958.37006OpenAlexW2010564373MaRDI QIDQ1570936

Peter E. Kloeden, Victor S. Kozyakin

Publication date: 16 April 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(00)85020-8

zbMATH Keywords

perturbationmaximal attractornon-autonomous systeminflated attractorset-valued system

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Simulation of dynamical systems (37M05)

Related Items (16)

ROBUST ASYMPTOTIC CONTROLLABILITY UNDER TIME-VARYING PERTURBATIONS ⋮ BIFURCATIONS AND CONTINUOUS TRANSITIONS OF ATTRACTORS IN AUTONOMOUS AND NONAUTONOMOUS SYSTEMS ⋮ Sigmoidal approximations of a delay neural lattice model with heaviside functions ⋮ On the reachable set of inflated singularly perturbed differential equations ⋮ Multivalued perturbations of a saddle dynamics ⋮ Corrigendum to: ``Sigmoidal approximations of Heaviside functions in neural lattice models ⋮ Input-to-state stability, numerical dynamics and sampled-data control ⋮ Global stability of almost periodic solutions to monotone sweeping processes and their response to non-monotone perturbations ⋮ Multivalued integral manifolds in Banach spaces ⋮ Convergence rates of perturbed attracting sets with vanishing perturbation ⋮ The inflated attractors of non-autonomous strongly damped wave equations ⋮ Equi-attraction and continuous dependence of strong attractors of set-valued dynamical systems on parameters ⋮ On the dynamics of nonautonomous periodic general dynamical systems and differential inclusions ⋮ Sigmoidal approximations of Heaviside functions in neural lattice models ⋮ Stochastic Recursive Inclusions in Two Timescales with Nonadditive Iterate-Dependent Markov Noise ⋮ On dynamical properties of general dynamical systems and differential inclusions

Cites Work

• Lyapunov functions and attractors under variable time-step discretization
• Semigruppi di trasformazioni multivoche
• Stable Attracting Sets in Dynamical Systems and in Their One-Step Discretizations
• Pullback attractors in dissipative nonautonomous differential equations under discretization
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