Secondary homoclinic bifurcation theorems

DOI10.1063/1.166109zbMath1055.37565OpenAlexW2090490710WikidataQ52338776 ScholiaQ52338776MaRDI QIDQ4526331

Vered Rom-Kedar

Publication date: 16 January 2001

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.166109

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

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Cites Work

• Transport rates of a class of two-dimensional maps and flows
• The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
• Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom
• Markov shifts in the Hénon family
• Abundance of strange attractors
• Fractal measures and their singularities: The characterization of strange sets
• Josephson's junction, annulus maps, Birkhoff attractors, horseshoes and rotation sets