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Non-linear response of a self-sustained electromechanical seismographs to fifth resonance excitations and chaos control

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  • Siewe, M. Siewe
  • Kakmeni, F.M. Moukam
  • Bowong, S.
  • Tchawoua, C.

Abstract

In this paper, the problem of dynamics and chaos control of an electromechanical instrument which is used to record the motion of earth during and earthquake is studied. The amplitude of the fifth sub- and super-harmonic oscillations for the resonant states are obtained and discussed using the multiples time scales method. It is found that chaotic and periodic orbits of the system depend strongly of the value of the damping. The suppression of chaos using small amplitude damping signals is also investigated and the condition under which chaos suppression is possible is derived. Simulation results are presented to confirm analytical process.

Suggested Citation

  • Siewe, M. Siewe & Kakmeni, F.M. Moukam & Bowong, S. & Tchawoua, C., 2006. "Non-linear response of a self-sustained electromechanical seismographs to fifth resonance excitations and chaos control," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 431-445.
    • Handle: RePEc:eee:chsofr:v:29:y:2006:i:2:p:431-445
    DOI: 10.1016/j.chaos.2005.08.210
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    References listed on IDEAS

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    1. Moukam Kakmeni, F.M. & Bowong, S. & Tchawoua, C. & Kaptouom, E., 2004. "Resonance, bifurcation and chaos control in electrostatic transducers with two external periodic forces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 333(C), pages 87-105.
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    Cited by:

    1. Siewe, M. Siewe & Cao, Hongjun & Sanjuán, Miguel A.F., 2009. "Effect of nonlinear dissipation on the basin boundaries of a driven two-well Rayleigh–Duffing oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1092-1099.
    2. Bekoa, D.J. Owono & Kenfack, W. Fokou & Siewe, M. Siewe, 2022. "Dynamics of saline oscillator under sinusoidal and bounded noise excitation," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

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