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FIZIKA A 9 (2000) 3 , 95-104
 
OVERLAPPED KAM PATTERNS FOR LINEARLY COUPLED ASYMMETRIC OSCILLATORS
VLADIMIR PAAR and NENAD PAVIN
Department of Physics, Faculty of Science, University of Zagreb,
10000 Zagreb, Croatia
Received 28 March 2000; revised manuscript received 19 June 2000
Accepted 19 June 2000
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.
PACS numbers: 05.45.+b
UDC 530.182, 531.143
Keywords: conservative systems, linearly coupled harmonic and nonlinear oscillators,
KAM scenario, inverse KAM scenario
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