Stochasticity Threshold for Hamiltonians with Zero or One Primary Resonance
- 27 December 1982
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 49 (26) , 1879-1883
- https://doi.org/10.1103/physrevlett.49.1879
Abstract
The large-scale stochasticity threshold for Hamiltonians with two degrees of freedom with only one primary resonance can be analytically estimated because of the quite steep growth of the stochastic layer of this resonance. For Hamiltonians without primary resonance, the threshold is computed by available techniques after canonical transformations. Thus the first analytical estimate of the threshold is obtained for the Hénon-Heiles Hamiltonian and an example of Walker and Ford.Keywords
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