Lin's method for heteroclinic chains involving periodic orbits

DOI10.1088/0951-7715/23/1/002zbMath1187.37032arXiv0903.4902OpenAlexW3098264005MaRDI QIDQ5851948

Jürgen Knobloch, Thorsten Riess

Publication date: 26 January 2010

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.4902

zbMATH Keywords

Poincaré mapLin's methodheteroclinic chain

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

Related Items (7)

A Lin's method approach for detecting all canard orbits arising from a folded node ⋮ Rate-induced tipping from periodic attractors: Partial tipping and connecting orbits ⋮ Non-conservative perturbations of homoclinic snaking scenarios ⋮ Snakes and isolas in non-reversible conservative systems ⋮ Computer assisted proof of transverse saddle-to-saddle connecting orbits for first order vector fields ⋮ The periodic solutions bifurcated from a homoclinic solution for parabolic differential equations ⋮ Nonreversible homoclinic snaking

This page was built for publication: Lin's method for heteroclinic chains involving periodic orbits