Overlapped KAM patterns for linearly coupled asymmetric oscillators

Scientific paper - Original scientific paper

• Author: Vladimir Paar
• Author: Nenad Pavin
• Author's institution: University of Zagreb; Faculty of Science; (Department of Physics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract (english)

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 (english): conservative systems; linearly coupled harmonic and nonlinear oscillators; KAM scenario; inverse KAM scenario
• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review
• Publication version: Published version
• Journal title: Fizika A
• Numbering: vol. 9, no. 3, pp. 95-104
• p-ISSN: 1330-0008
• URN:NBN: urn:nbn:hr:217:949237
• Publication: 2000
• Document URL: http://fizika.hfd.hr/fizika_a/av00/a9p095.htm
• Type of resource: Text
• Access conditions: Open access
• Created on: 2019-10-11 13:17:39