Global uniqueness of homoclinic orbits for a class of fourth order equations

DOI10.1007/BF00946252zbMath0766.34027MaRDI QIDQ1198200

Charles J. Amick, John F. Toland

Publication date: 16 January 1993

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

zbMATH Keywords

indefinite Hamiltonian systemsexistence of orbitsuniqueness of homoclinic orbit

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Cites Work

• Homoclinic, heteroclinic, and periodic orbits for a class of indefinite Hamiltonian systems
• Periodic solutions for a class of Lorenz-Lagrangian systems
• Points of egress in problems of Hamiltonian dynamics
• A necessary geometric condition for the existence of certain homoclinic orbits
• Comparative lagrangian formulations for localized buckling
• Homoclinic orbits in the dynamic phase-space analogy of an elastic strut
• Complexity in biological systems and hamiltonian dynamics
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