Chaos in a quartic dynamical model

Details Chaos in a quartic dynamical model Chaos in a quartic dynamical model

Mar 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cemec..40...35c&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 40, no. 1, 1987, p. 35-49.

Computer Science

7

Chaos, Dynamic Models, Orbital Mechanics, Quartic Equations, Computerized Simulation, Equations Of Motion, Hamiltonian Functions, Liapunov Functions, Stochastic Processes, Two Dimensional Models

Scientific paper

The authors study the orbital characteristics of a time independent, two dimensional quartic dynamical model with two exact periodic orbits that displays always closed zero velocity curves. It is shown that the stability of the periodic orbits depends on the value of the coupling parameter α. Computer calculations suggest that the degree of stochasticity is small for the values of α in the range 1 < α < 3 while it grows rapidly when α > 3. The authors also compute the Lyapunov characteristic exponents for different values of the coupling parameter.

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