A striking correspondence between the dynamics generated by the vector fields and by the scalar parabolic equations

DOI10.1142/S1793744211000369zbMath1241.35001arXiv1005.1727OpenAlexW3101616487MaRDI QIDQ643858

Geneviève Raugel, Romain Joly

Publication date: 2 November 2011

Published in: Confluentes Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.1727

zbMATH Keywords

genericityequations on a circleequations on an intervalfinite- and infinite-dimensional dynamical systemsKupka-Smale property

Mathematics Subject Classification ID

Attractors (35B41) Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Dynamics induced by flows and semiflows (37C10) Generic properties, structural stability of dynamical systems (37C20) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Semilinear parabolic equations (35K58)

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