Stability of Morse-Smale maps

DOI10.1007/s40863-022-00294-zzbMath1505.37040OpenAlexW4225531558WikidataQ121766606 ScholiaQ121766606MaRDI QIDQ2082036

Waldyr Muniz Oliva

Publication date: 30 September 2022

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40863-022-00294-z

zbMATH Keywords

attractorsstructural stabilityhyperbolicitydynamics in infinite dimensions

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Generic properties, structural stability of dynamical systems (37C20) Stability theory for smooth dynamical systems (37C75)

Related Items (4)

On the explicit construction of an ODE which has the same dynamics as a scalar parabolic PDE ⋮ On inverse limit stability for maps ⋮ A permutation related to the dynamics of a scalar parabolic PDE ⋮ Some infinite-dimensional Morse-Smale systems defined by parabolic partial differential equations

Cites Work

• Stability of parametrized families of gradient vector fields
• Geometric theory of semilinear parabolic equations
• A dynamical system generated by the Navier-Stokes equations
• Theory of functional differential equations. 2nd ed
• Negatively invariant sets of compact maps and an extension of a theorem of Cartwright
• On Morse-Smale dynamical systems
• Generic properties of retarded functional differential equations
• On a gradient-like integro-differential equation
• Invariant manifolds
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