Instability and Chaos in Non-Linear Wave Interaction: a simple model

Details Instability and Chaos in Non-Linear Wave Interaction: a simple model Instability and Chaos in Non-Linear Wave Interaction: a simple model

1998-09-23

arxiv.org/abs/chao-dyn/9809017v1

JETP v.88(3) p.626 (1999)

Physics

Condensed Matter

Statistical Mechanics

16 pages, 4 figures

Scientific paper

10.1134/1.558838

We analyze stability of a system which contains an harmonic oscillator non-linearly coupled to its second harmonic, in the presence of a driving force. It is found that there always exists a critical amplitude of the driving force above which a loss of stability appears. The dependence of the critical input power on the physical parameters is analyzed. For a driving force with higher amplitude chaotic behavior is observed. Generalization to interactions which include higher modes is discussed. Keywords: Non-Linear Waves, Stability, Chaos.

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