Cocycle Attractors of Variable Time-Step Discretizations of Lorenzian Systems∗

DOI10.1080/10236199708808091zbMath0878.34043OpenAlexW2022693520MaRDI QIDQ4352522

Björn Schmalfuss, Peter E. Kloeden

Publication date: 4 September 1997

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236199708808091

zbMATH Keywords

semigroupsnumerical schemesLorenz equationscocyclescocycle attractors

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Numerical methods for initial value problems involving ordinary differential equations (65L05) Attractors of solutions to ordinary differential equations (34D45)

Related Items (6)

Bifurcations in non-autonomous scalar equations ⋮ A Lyapunov-Type Theorem for Dissipative Numerical Integrators with Adaptive Time-Stepping ⋮ On the Relationship Between Solutions of Stochastic and Random Differential Inclusions ⋮ Nonautonomous and random attractors ⋮ Unnamed Item ⋮ Upper semicontinuous dependence of pullback attractors on time scales

Cites Work

• Attractors of partial differential evolution equations and estimates of their dimension
• Runge–Kutta Methods for Dissipative and Gradient Dynamical Systems
• Deterministic Nonperiodic Flow
• Stable Attracting Sets in Dynamical Systems and in Their One-Step Discretizations
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