BOUNDARIES OF ATTRACTORS AS OMEGA LIMIT SETS

DOI10.1142/S0219493705001304zbMath1063.37026MaRDI QIDQ4662173

Oliver M. Tearne, James C. Robinson

Publication date: 30 March 2005

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

numerical methodglobal attractorrandom attractoromega limit setplanar stochastic ordinary differential equations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Ordinary differential equations and systems with randomness (34F05) Generation, random and stochastic difference and differential equations (37H10) Attractors of solutions to ordinary differential equations (34D45)

Cites Work

• Attractors for random dynamical systems
• Random attractors
• Global random attractors are uniquely determined by attracting deterministic compact sets
• Random attractors -- general properties, existence and applications to stochastic bifurcation theory
• White noise eliminates instability
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