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Resonance phenomena in a harmonic oscillator driven by the chaotic force

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  • Shimizu, Toshihiro

Abstract

The coherent nature of chaos is investigated in a simple harmonic oscillator driven by the chaotic force. The resonance phenomena between a harmonic oscillator and a chaotic oscillator are discussed in two cases: (a) the bifurcation parameter of the chaotic force is modulated by the amplitude of the harmonic oscillator and (b) the eigenfrequency of the harmonic oscillator is also modulated by the chaotic force in addition to (a). As a model of neural network, a system of many Brownian particles interacting via the chaotic force is proposed. The controlling of chaos is also discussed.

Suggested Citation

  • Shimizu, Toshihiro, 1996. "Resonance phenomena in a harmonic oscillator driven by the chaotic force," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 234(1), pages 371-385.
    • Handle: RePEc:eee:phsmap:v:234:y:1996:i:1:p:371-385
    DOI: 10.1016/S0378-4371(96)00258-0
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    1. Shimizu, T. & Morioka, N., 1995. "Stationary distribution of a nonlinear system driven by a chaotic force," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 218(3), pages 390-402.
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