Slow Passage Through the Nonhyperbolic Homoclinic Orbit of the Saddle‐Center Hamiltonian Bifurcation

DOI10.1111/1467-9590.01423zbMath1152.37335OpenAlexW2018054904MaRDI QIDQ4784755

David C. Diminnie, Richard Haberman

Publication date: 11 December 2002

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/1467-9590.01423

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Averaging method for ordinary differential equations (34C29) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (2)

Complex mixed-mode vibration types triggered by the pitchfork bifurcation delay in a driven van der Pol-Duffing oscillator ⋮ Asymptotics of the solution of a differential equation in a saddle-node bifurcation

Cites Work

• Slow passage through a saddle-center bifurcation
• Slow passage through a transcritical bifurcation for Hamiltonian systems and the change in action due to a nonhyperbolic homoclinic orbit
• Connection across a Separatrix with Dissipation

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