Dynamical phenomena near a saddle-focus homoclinic connection in a Hamiltonian system
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Publication:5934434
DOI10.1023/A:1026411506781zbMath1003.37036OpenAlexW1565929114MaRDI QIDQ5934434
Publication date: 20 June 2001
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1026411506781
Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Dynamical systems with hyperbolic orbits and sets (37D05) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (11)
Invariant manifolds of homoclinic orbits and the dynamical consequences of a super-homoclinic: a case study in \(\mathbb{R}^4\) with \(\mathbb{Z}_2\)-symmetry and integral of motion ⋮ On the Dynamics Near a Homoclinic Network to a Bifocus: Switching and Horseshoes ⋮ Strange attractors and wandering domains near a homoclinic cycle to a bifocus ⋮ On periodically modulated rolls in the generalized Swift-Hohenberg equation: Galerkin' approximations ⋮ Isolas of 2-pulse solutions in homoclinic snaking scenarios ⋮ Solitons and cavitons in a nonlocal Whitham equation ⋮ Analytic invariants for the \(1 : - 1\) resonance ⋮ Homoclinic dynamics in a restricted four-body problem: transverse connections for the saddle-focus equilibrium solution set ⋮ Localized solutions of a piecewise linear model of the stationary Swift-Hohenberg equation on the line and on the plane ⋮ Chaos near a reversible homoclinic bifocus ⋮ Robust cycles unfolding from conservative bifocal homoclinic orbits
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