Adiabatic chaos in Liouville's equations

K. G. Tronin<sup>ab

a</sup> Institute of Computer Science
^b Udmurt State University

Abstract: A system of Liouville's equations with slowly varying time-periodic parameters is considered. The system is shown to exhibit chaotic behavior with unique features. We start with the presentation of some general theoretical methods based on the analysis of abrupt changes of adiabatic invariants and separatrix splitting and then compare theoretical results with results obtained from numeric experiments.

Keywords: adiabatic invariant, Liouville's equations, numeric experiment.

UDC: 531.38