Bifurcation from codimension one relative homoclinic cycles

DOI10.1090/S0002-9947-2011-05193-7zbMath1247.34075OpenAlexW2019665974MaRDI QIDQ3102718

Jürgen Knobloch, Jeroen S. W. Lamb, Alice C. Jukes, Ale Jan Homburg

Publication date: 7 December 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2011-05193-7

zbMATH Keywords

bifurcationstopological Markov chainheteroclinic networksequivariant ordinary differential equationsrelative homoclinic cycles

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (5)

Bifurcations of heteroclinic loop accompanied by pitchfork bifurcation ⋮ Using Lin's method to solve Bykov's problems ⋮ Construction of codimension one homoclinic cycles ⋮ Resonance bifurcation from homoclinic cycles ⋮ Shift dynamics near non-elementary T-points with real eigenvalues

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