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Effect of measuring noise on scaling characteristics in the dynamics of coupled chaotic systems

Author

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  • Pavlov, A.N.
  • Pavlova, O.N.
  • Koronovskii, A.A.
  • Hramov, A.E.

Abstract

We study the scaling features in the evolutionary dynamics of two coupled chaotic systems based on the sequences of return times into a Poincaré section, contaminated with additive (measuring) noise. Using three models of chaotic systems: the Rössler oscillator, the Lorenz system, and the nephron model, and the detrended fluctuation analysis (DFA) as an approach for data processing, we demonstrate that the anti-correlated sequences of return times of synchronous motions show a higher sensitivity to measuring noise than the positively correlated series of return times of asynchronous oscillations. This conclusion is confirmed by the results for various oscillatory regimes in all models considered.

Suggested Citation

  • Pavlov, A.N. & Pavlova, O.N. & Koronovskii, A.A. & Hramov, A.E., 2018. "Effect of measuring noise on scaling characteristics in the dynamics of coupled chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 106-113.
    • Handle: RePEc:eee:chsofr:v:116:y:2018:i:c:p:106-113
    DOI: 10.1016/j.chaos.2018.09.029
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    References listed on IDEAS

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    1. Pavlov, A.N. & Runnova, A.E. & Maksimenko, V.A. & Pavlova, O.N. & Grishina, D.S. & Hramov, A.E., 2018. "Detrended fluctuation analysis of EEG patterns associated with real and imaginary arm movements," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 777-782.
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    Cited by:

    1. Cui, Li & Luo, Wenhui & Ou, Qingli, 2021. "Analysis of basins of attraction of new coupled hidden attractor system," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    2. Bashkirtseva, Irina A. & Ryashko, Lev B. & Pisarchik, Alexander N., 2020. "Ring of map-based neural oscillators: From order to chaos and back," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).

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