Cohomology of isolated invariant sets under perturbation

DOI10.1016/0022-0396(73)90018-1zbMath0238.58010OpenAlexW2069610049MaRDI QIDQ2553125

John T. Montgomery

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1016/0022-0396(73)90018-1

Mathematics Subject Classification ID

Stability theory for smooth dynamical systems (37C75)

Related Items

Following homology in singularly perturbed systems, Refinements of topological invariants of flows, Rationality for isolated expansive sets, The boundary map and the connecting orbits, Asymptotic behavior of solutions to single loop positive feedback systems, On the Homotopy Index for Infinite-Dimensional Semiflows, Continuation sheaves in dynamics: sheaf cohomology and bifurcation, The Morse index, repeller-attractor pairs and the connection index for semiflows on noncompact spaces, The Morse index of an isolated invariant set is a connected simple system, A cohomological index of Conley type for multi-valued admissible flows, Coexistence for species sharing a predator., Homotopy invariants of repeller-attractor pairs. I: The Puppe sequence of an R-A pair, Limits of heteroclinic orbits in a competitive model with genetic variation, Connected Simple Systems and The Conley Index of Isolated Invariant Sets, Isolated Invariant Sets for Flows on Vector Bundles, A geometric approach to singular perturbation problems with applications to nerve impulse equations, Some mathematical problems concerning the ecological principle of competitive exclusion, On the homotopy index of Conley, Non-singular Smale flows on three-dimensional manifolds and Whitehead torsion, Isolated invariant sets in compact metric spaaces, Pathology of invariant sets in the monkey saddle, Computing Linear Extensions for Polynomial Posets Subject to Algebraic Constraints, Homotopy invariants of repeller-attractor pairs. II: Continuation of R-A pairs

Cites Work

• On the ultimate behavior of orbits with respect to an unstable critical point. I: Oscillating, asymptotic, and capture orbits
• On the existence of invariant sets inside a submanifold convex to a flow
• Invariant sets which carry a one-form
• Regularization of vector fields by surgery
• Isolated invariant sets in compact metric spaaces
• Lyapunov functions and isolating blocks
• Invariant sets which carry cohomology
• Pathology of invariant sets in the monkey saddle
• Viscosity matrices for two‐dimensional nonlinear hyperbolic systems
• Viscosity matrices for two‐dimensional nonlinear hyperbolic systems
• Isolated Invariant Sets and Isolating Blocks
• Shock waves as limits of progressive wave solutions of higher order equations, II
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item