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Transitions induced by bounded noise

Author

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  • Bobryk, Roman V.
  • Chrzeszczyk, Andrzej

Abstract

We study noise-induced transitions when the system is driven separately by a Gaussian colored noise and a non-Gaussian bounded noise with the same mean and stationary correlation. Clear differences in the nature of such transitions for these two cases are observed. These transitions are shown to be enhanced essentially by the bounded noisy driving. The results are obtained through a new approach based on numerical analysis of hyperbolic systems.

Suggested Citation

  • Bobryk, Roman V. & Chrzeszczyk, Andrzej, 2005. "Transitions induced by bounded noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 358(2), pages 263-272.
    • Handle: RePEc:eee:phsmap:v:358:y:2005:i:2:p:263-272
    DOI: 10.1016/j.physa.2005.03.055
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    Citations

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    Cited by:

    1. Liu, Pei & Ning, Li Juan, 2016. "Transitions induced by cross-correlated bounded noises and time delay in a genotype selection model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 441(C), pages 32-39.
    2. Yu, Dong & Wang, Guowei & Ding, Qianming & Li, Tianyu & Jia, Ya, 2022. "Effects of bounded noise and time delay on signal transmission in excitable neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    3. Siewe, M. Siewe & Kenfack, W. Fokou & Kofane, T.C., 2019. "Probabilistic response of an electromagnetic transducer with nonlinear magnetic coupling under bounded noise excitation," Chaos, Solitons & Fractals, Elsevier, vol. 124(C), pages 26-35.
    4. Yuangen Yao & Wei Cao & Qiming Pei & Chengzhang Ma & Ming Yi, 2018. "Breakup of Spiral Wave and Order-Disorder Spatial Pattern Transition Induced by Spatially Uniform Cross-Correlated Sine-Wiener Noises in a Regular Network of Hodgkin-Huxley Neurons," Complexity, Hindawi, vol. 2018, pages 1-10, April.
    5. Zhu, Ping, 2021. "An equivalent analytical method to deal with cross-correlated exponential type noises in the nonlinear dynamic system," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    6. Cui, Yingxue & Ning, Lijuan, 2023. "Transport of coupled particles in fractional feedback ratchet driven by Bounded noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    7. Yuangen Yao & Lijian Yang & Canjun Wang & Quan Liu & Rong Gui & Juan Xiong & Ming Yi, 2018. "Subthreshold Periodic Signal Detection by Bounded Noise-Induced Resonance in the FitzHugh–Nagumo Neuron," Complexity, Hindawi, vol. 2018, pages 1-10, February.
    8. Bekoa, D.J. Owono & Kenfack, W. Fokou & Siewe, M. Siewe, 2022. "Dynamics of saline oscillator under sinusoidal and bounded noise excitation," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

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