Homoclinic and heteroclinic solutions for a class of two-dimensional Hamiltonian systems

DOI10.1007/BF00917576zbMath0847.58032MaRDI QIDQ1909921

Stefano Lenci, Renzo Lupini

Publication date: 24 March 1996

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

homoclinic trajectorieshomoclinicheteroclinic trajectoriestwo-dimensional Hamiltonian system

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

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• Structural stability on two-dimensional manifolds
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Global bifurcations and chaos. Analytical methods
• Orbits homoclinic to resonances, with an applications to chaos in a model of the forced and damped sine-Gordon equation
• Homoclinic orbits for eventually autonomous planar flows
• A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE

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