Original scientific paper

Overlapped KAM patterns for linearly coupled asymmetric oscillators

Vladimir Paar
Nenad Pavin

Abstract

The pattern of energy dependence for the onset of chaos is investigated for conservative system of two linearly coupled asymmetric oscillators, harmonic oscillator and a two-well nonlinear oscillator. With increase of energy, the amount of chaoticity first grows up to a certain critical energy, according to the KAM scenario, and above this point, with a further increase of energy, the amount of chaoticity decreases according to the inverse KAM scenario. At the point of transition, there is an overlap of the two scenarios. The position of the critical energy increases with increasing value of the coupling strength between oscillators.

Keywords

conservative systems; linearly coupled harmonic and nonlinear oscillators; KAM scenario; inverse KAM scenario

Hrčak ID:

301063

URI

https://hrcak.srce.hr/301063

Publication date:

2.7.2000.

Article data in other languages: croatian

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