Multibump orbits near the anti-integrable limit for Lagrangian systems

DOI10.1088/0951-7715/10/5/001zbMath0972.34046OpenAlexW2063290070MaRDI QIDQ3841200

Sergey V. Bolotin, Robert S. MacKay

Publication date: 13 November 2001

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/10/5/001

zbMATH Keywords

homoclinic orbitssymplectic mapsLagrangian systems

Mathematics Subject Classification ID

Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (13)

ABUNDANCE OF TRAVELING WAVES IN COUPLED CIRCLE MAPS ⋮ Anti-integrability for the logistic maps ⋮ Hill’s formula for $g$-periodic trajectories of Lagrangian systems ⋮ Denseness of radial-basis functions in \(L^ 2(R^ n)\) and its applications in neural networks ⋮ Connecting orbits near the adiabatic limit of Lagrangian systems with turning points ⋮ Jumps of energy near a separatrix in slow-fast Hamiltonian systems ⋮ Chaotic orbits for systems of nonlocal equations ⋮ Standing pulse solutions to FitzHugh-Nagumo equations ⋮ Periodic solutions and their connecting orbits of Hamiltonian systems. ⋮ Complicated behavior in cubic Hénon maps ⋮ Jumps of energy near a homoclinic set of a slowly time dependent Hamiltonian system ⋮ Parabolic resonances in 3 degree of freedom near-integrable Hamiltonian systems ⋮ Smale horseshoe via the anti-integrability

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