Maximal one-dimensional Lyapunov exponent and singular-point analysis for a quartic Hamiltonian
- 1 October 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 34 (4) , 3489-3491
- https://doi.org/10.1103/physreva.34.3489
Abstract
A singular-point analysis for a quartic Hamiltonian which depends on a parameter is performed. Moreover, the maximal one-dimensional Lyapunov exponent is calculated numerically. It turns out that if two of the resonances determined by the singular-point analysis become complex, then the maximal one-dimensional Lyapunov exponent is larger than 0.Keywords
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