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

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 a 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.

transient chaos; Duffing oscillator; numerical precision; noise

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