Bifurcation of heteroclinic orbits via an index theory

DOI10.1007/s00209-018-2167-1zbMath1474.37053arXiv1704.06806OpenAlexW2963028093MaRDI QIDQ2633157

Alessandro Portaluri, Xijun Hu

Publication date: 8 May 2019

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.06806

zbMATH Keywords

\(K\)-theoryheteroclinic orbitsindex bundle\(\mathbf {Z}_2\)-indexparity of Fredholm operators

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (6)

Bifurcations of balanced configurations for the Newtonian \(n\)-body problem in \(\mathbb{R}^4\) ⋮ Maslov index for heteroclinic orbits of non-Hamiltonian systems on a two-dimensional phase space ⋮ Spectral flow, Brouwer degree and Hill's determinant formula ⋮ Linear instability of periodic orbits of free period Lagrangian systems ⋮ Linear instability for periodic orbits of non-autonomous Lagrangian systems ⋮ Instability of semi-Riemannian closed geodesics

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