Lobe area in adiabatic Hamiltonian systems

DOI10.1016/0167-2789(91)90233-YzbMath0744.58020OpenAlexW2041267245MaRDI QIDQ1181168

Stephen Wiggins, Tasso J. Kaper

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)90233-y

zbMATH Keywords

Hamiltonian systemsMelnikov functionlobe area

Mathematics Subject Classification ID

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

Related Items (15)

A mechanism for capture into resonance ⋮ Higher-order Melnikov theory for adiabatic systems ⋮ Invariant manifold templates for chaotic advection ⋮ 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 ⋮ Quadratic volume-preserving maps: (Un)stable manifolds, hyperbolic dynamics, and vortex-bubble bifurcations ⋮ Quantifying transport in numerically generated velocity fields ⋮ Thirty years of turnstiles and transport ⋮ Frequency spanning homoclinic families. ⋮ Universal properties of chaotic transport in the presence of diffusion ⋮ Stirring: the Eckart paradigm revisited ⋮ Lobe area via action formalism in a class of Hamiltonian systems ⋮ A marangoni-convection-driven chaotic flow ⋮ Finite time transport in aperiodic flows ⋮ Infinite resonance overlap: A natural limit for Hamiltonian chaos

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Transport in Hamiltonian systems
• Global bifurcations and chaos. Analytical methods
• Transport in two-dimensional maps
• Sustained Resonance for a Nonlinear System with Slowly Varying Coefficients
• Flux and differences in action for continuous time Hamiltonian systems
• On the Detection and Dynamical Consequences of Orbits Homoclinic to Hyperbolic Periodic Orbits and Normally Hyperbolic Invariant Tori in a Class of Ordinary Differential Equations
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
• Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic
• Invariant manifolds

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