Maximal one-dimensional Lyapunov exponent and singular-point analysis for a quartic Hamiltonian

Details Maximal one-dimensional Lyapunov exponent and singular-point analysis for a quartic Hamiltonian Maximal one-dimensional Lyapunov exponent and singular-point analysis for a quartic Hamiltonian

Oct 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrva..34.3489s&link_type=abstract

Physical Review A (General Physics), Volume 34, Issue 4, October 1986, pp.3489-3491

Physics

General Physics

5

Celestial Mechanics

Scientific paper

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.

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