Published August 1991
| public
Journal Article
Lobe area in adiabatic Hamiltonian systems
- Creators
- Kaper, Tasso J.
- Wiggins, Stephen
Chicago
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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.
Additional Information
© 1991 Elsevier B.V. This research was partially supported by AFOSR ISSA 900024, DOE Contract W-7405-ENG-36, an NSF Presidential Young Investigator Award, and an ONR Young Investigator Award. Part of this work was done when the authors worked at the CNLS in Los Alamos.Additional details
- Eprint ID
- 80886
- Resolver ID
- CaltechAUTHORS:20170829-080147630
- Air Force Office of Scientific Research (AFOSR)
- ISSA 900024
- Department of Energy (DOE)
- W-7405-ENG-36
- NSF
- Office of Naval Research (ONR)
- Created
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2017-08-29Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field