Lobe area in adiabatic Hamiltonian systems
Identifieur interne : 000847 ( Main/Exploration ); précédent : 000846; suivant : 000848Lobe area in adiabatic Hamiltonian systems
Auteurs : Tasso J. Kaper [États-Unis] ; Stephen Wiggins [États-Unis]Source :
- Physica D: Nonlinear Phenomena [ 0167-2789 ] ; 1991.
Abstract
We establish an analytically computable formula based on the adiabatic Melnikov function for lobe area in one-degree-of-freedom Hamiltonian systems depending on a parameter which varies slowly in time. We illustrate this lobe area result on a slowly, parametrically forced pendulum, a paradigm problem for adiabatic chaos. Our analysis unites the theory of action from classical mechanics with the theory of the adiabatic Melnikov function from the field of global bifurcation theory.
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DOI: 10.1016/0167-2789(91)90233-Y
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