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Diagnostics of the regime of hyperchaotic dynamics from sequences of threshold-crossing time intervals

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Abstract

We consider a method of hyperchaotic regime diagnostics in a system with self-sustained oscillations by monitoring point processes representing sequences of time intervals between the moments at which the system response signal crosses a threshold level. The possibility of determining two positive Lyapunov exponents from a single point process of short duration is demonstrated.

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Authors and Affiliations

  1. Saratov State University, Saratov, 410012, Russia

    A. N. Pavlov, O. N. Pavlova & J. H. Mohammad

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  1. A. N. Pavlov
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  2. O. N. Pavlova
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  3. J. H. Mohammad
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Correspondence to A. N. Pavlov.

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Original Russian Text © A.N. Pavlov, O.N. Pavlova, J.H. Mohammad, 2015, published in Pis’ma v Zhurnal Tekhnicheskoi Fiziki, 2015, Vol. 41, No. 6, pp. 98–104.

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Pavlov, A.N., Pavlova, O.N. & Mohammad, J.H. Diagnostics of the regime of hyperchaotic dynamics from sequences of threshold-crossing time intervals. Tech. Phys. Lett. 41, 301–303 (2015). https://doi.org/10.1134/S1063785015030256

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  • DOI: https://doi.org/10.1134/S1063785015030256

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