Dependence of lifetimes of chaotic transients in the weakly dissipative Duffing oscillator on numerical precision and external noise

V. Paar and N. Pavin

Physica A: Statistical Mechanics and its Applications, 1997, vol. 242, issue 1, 166-174

Abstract: A numerical experiment was performed for a distribution of lifetimes of chaotic transients in the weakly dissipative single-well Duffing oscillator. It is shown that the results of computations with a uniform distribution of precision of numerical algorithm at a fixed initial condition cannot be distinguished from the well-known exponential distribution of lifetimes computed with an uniform distribution of initial conditions at fixed numerical precision. The same exponential distribution of lifetimes is also obtained if a noise term is added to the driving force in the fixed precision case.

Keywords: Chaotic transients; Duffing oscillator; Numerical precision; Noise; Mean lifetimes (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:242:y:1997:i:1:p:166-174

DOI: 10.1016/S0378-4371(97)00198-2

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