A natural order in dynamical systems based on Conley-Markov matrices

DOI10.1016/j.jde.2011.11.009zbMath1251.37022OpenAlexW2022061221MaRDI QIDQ665978

Juan-Miguel Gracia

Publication date: 7 March 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.11.009

zbMATH Keywords

Conley indextransition matrixrandom dynamical systemconnection matrix

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Generation, random and stochastic difference and differential equations (37H10) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items

Equilibrium Selection via Optimal Transport

Cites Work

• Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces
• An analysis of phase noise and Fokker-Planck equations
• Fokker-Planck equations and maximal dissipativity for Kolmogorov operators with time dependent singular drifts in Hilbert spaces
• Laplace's method revisited: Weak convergence of probability measures
• The Fokker-Planck equation. Methods of solution and applications.
• Conley index for random dynamical systems
• Nonlinear Fokker-Planck equations. Fundamentals and applications.
• Index Filtrations and the Homology Index Braid for Partially Ordered Morse Decompositions
• The Connection Matrix Theory for Morse Decompositions
• The Connection Matrix in Morse-Smale Flows
• The random case of Conley's theorem: II. The complete Lyapunov function
• ATTRACTOR–REPELLER PAIR, MORSE DECOMPOSITION AND LYAPUNOV FUNCTION FOR RANDOM DYNAMICAL SYSTEMS
• Diffusion for Global Optimization in $\mathbb{R}^n $
• The Connection Matrix in Morse-Smale Flows II
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
• The random case of Conley's theorem: III. Random semiflow case and Morse decomposition
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item