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The Characteristic Lyapunov Exponents and the Sensitivity of Quasi-Periodically Excited Systems with White Noise to the Initial Conditions

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Abstract

The influence of the white noise with normal and uniform distribution laws on the dynamics of a quasi-periodically excited system is considered. It is confirmed that the external noise of low intensity does not disturb the one-to-one correspondence between the sign of the characteristic Lyapunov exponent and the essential dependence of the behavior of trajectories on the initial conditions.

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  1. Tomsk State University, Tomsk, Russia

    S. N. Vladimirov

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  1. S. N. Vladimirov
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 42–48, April, 2005.

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Vladimirov, S.N. The Characteristic Lyapunov Exponents and the Sensitivity of Quasi-Periodically Excited Systems with White Noise to the Initial Conditions. Russ Phys J 48, 375–382 (2005). https://doi.org/10.1007/s11182-005-0135-9

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  • DOI: https://doi.org/10.1007/s11182-005-0135-9

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