Lobe area via action formalism in a class of Hamiltonian systems

DOI10.1016/0167-2789(91)90235-2zbMath0744.58021OpenAlexW1997628229MaRDI QIDQ1181170

Gregor Kovačič

Publication date: 27 June 1992

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(91)90235-2

zbMATH Keywords

asymptotic expansionHamiltonian systemsMelnikov functionlobe area

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (3)

Multiple separatrix crossing in multi-degree-of-freedom Hamiltonian flows ⋮ Codimension-one partitioning and phase space transport in multi-degree- of-freedom Hamiltonian systems with non-toroidal invariant manifold intersections ⋮ A geometric criterion for adiabatic chaos

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Transport in Hamiltonian systems
• Geometric singular perturbation theory for ordinary differential equations
• Lobe area in adiabatic Hamiltonian systems
• Global bifurcations and chaos. Analytical methods
• An analytical study of transport, mixing and chaos in an unsteady vortical flow
• Flux and differences in action for continuous time Hamiltonian systems
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