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Fast relaxation transients in a kicked damped oscillator

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  • Urquizú, Mercè
  • Correig, Antoni M.

Abstract

Although nonlinear relaxation transients are very common in nature, very few studies are devoted to its characterization, mainly due to its short time duration. In this paper, we present a study about the nature of relaxation transients in a kicked damped oscillator, in which transients are generated in terms of continuous fast changes in the parameters of the system. We have found that transient dynamics can be described, rather than in terms of bifurcation dynamics, in terms of instantaneous stretching factors, which are related to the stability of fixed points of the corresponding stroboscopic maps.

Suggested Citation

  • Urquizú, Mercè & Correig, Antoni M., 2007. "Fast relaxation transients in a kicked damped oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1292-1306.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:4:p:1292-1306
    DOI: 10.1016/j.chaos.2006.01.085
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    References listed on IDEAS

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    1. Buszko, Katarzyna & Stefański, Krzysztof, 2006. "Measuring transient chaos in nonlinear one- and two-dimensional maps," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 630-646.
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