Exponentially small splitting of homoclinic orbits of parabolic differential equations under periodic forcing

DOI10.3934/DCDS.2003.9.585zbMath1042.37059OpenAlexW2009475530MaRDI QIDQ1812316

Karsten Matthies

Publication date: 2003

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2003.9.585

zbMATH Keywords

homoclinic orbitsemilinear parabolic equationstransverse intersectionexponential smallness

Mathematics Subject Classification ID

Homoclinic and heteroclinic orbits for dynamical systems (37C29) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20) Infinite-dimensional dissipative dynamical systems (37L99)

Related Items (1)

The periodic solutions bifurcated from a homoclinic solution for parabolic differential equations

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