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Characteristics of noise-induced intermittency

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  • Moskalenko, Olga I.
  • Koronovskii, Alexey A.
  • Zhuravlev, Maksim O.
  • Hramov, Alexander E.

Abstract

We reveal the main characteristics of noise-induced intermittency in a dynamical system with two coexisting attractors. Both the residence time distributions and the mean residence time versus an asymmetry parameter, are found analytically, for each of the coexisting states, and both of them obey exponential laws. The proposed theory is applied to a bistable energy model, dissipatively coupled logistic maps and bistable Chua generator.

Suggested Citation

  • Moskalenko, Olga I. & Koronovskii, Alexey A. & Zhuravlev, Maksim O. & Hramov, Alexander E., 2018. "Characteristics of noise-induced intermittency," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 269-275.
    • Handle: RePEc:eee:chsofr:v:117:y:2018:i:c:p:269-275
    DOI: 10.1016/j.chaos.2018.11.001
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    References listed on IDEAS

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    1. G. Augello & D. Valenti & B. Spagnolo, 2010. "Non-Gaussian noise effects in the dynamics of a short overdamped Josephson junction," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 78(2), pages 225-234, November.
    2. Runnova, Anastasiya E. & Hramov, Alexander E. & Grubov, Vadim V. & Koronovskii, Alexey A. & Kurovskaya, Maria K. & Pisarchik, Alexander N., 2016. "Theoretical background and experimental measurements of human brain noise intensity in perception of ambiguous images," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 201-206.
    3. A. Dubkov & B. Spagnolo, 2008. "Verhulst model with Lévy white noise excitation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 65(3), pages 361-367, October.
    4. ., 2013. "Financial intermediation," Chapters, in: The Political Economy of Iraq, chapter 8, pages 137-163, Edward Elgar Publishing.
    5. Moskalenko, Olga I. & Koronovskii, Alexey A. & Hramov, Alexander E. & Zhuravlev, Maxim O. & Levin, Yurij I., 2014. "Cooperation of deterministic and stochastic mechanisms resulting in the intermittent behavior," Chaos, Solitons & Fractals, Elsevier, vol. 68(C), pages 58-64.
    6. La Barbera, A & Spagnolo, B, 2002. "Spatio-temporal patterns in population dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 120-124.
    7. Tharakan, Joe & Lefèvre, Mélanie, 2011. "Intermediaries, transport costs and interlinked transactions," CEPR Discussion Papers 8615, C.E.P.R. Discussion Papers.
    8. Xiang Li & Xiaodong Hu & Wonjun Lee, 2013. "On the union of intermediate nodes of shortest paths," Journal of Combinatorial Optimization, Springer, vol. 26(1), pages 82-85, July.
    9. A. A. Koronovskii & A. E. Hramov, 2008. "Type-II intermittency characteristics in the presence of noise," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 62(4), pages 447-452, April.
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