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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

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  • Yuangen Yao
  • Wei Cao
  • Qiming Pei
  • Chengzhang Ma
  • Ming Yi

Abstract

Spatially uniform cross-correlated sine-Wiener (CCSW) noises are imposed on each Hodgkin-Huxley (HH) neuron in a two-dimensional (2D) regular network. Noise-induced spiral wave destruction and order-disorder spatial pattern transition can be observed by adjusting cross-correlation time or cross-correlation intensity of CCSW noises. The sudden change of the curve of synchronization factor and the time series of average membrane voltage F can be used to semiquantitatively assess this spatial pattern transition and spiral wave destruction induced by CCSW noises, respectively. In addition, moderate cross-correlation time and strong cross-correlation intensity of CCSW noises are both detrimental to survival of spiral wave. Comparing with non-cross-correlated sine-Wiener noises, CCSW noises can destroy organized spiral wave with lesser noise amplitude.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:complx:8793298
    DOI: 10.1155/2018/8793298
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    1. Francis X. Witkowski & L. Joshua Leon & Patricia A. Penkoske & Wayne R. Giles & Mark L. Spano & William L. Ditto & Arthur T. Winfree, 1998. "Spatiotemporal evolution of ventricular fibrillation," Nature, Nature, vol. 392(6671), pages 78-82, March.
    2. Ma, Jun & Wu, Fuqiang & Hayat, Tasawar & Zhou, Ping & Tang, Jun, 2017. "Electromagnetic induction and radiation-induced abnormality of wave propagation in excitable media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 508-516.
    3. Yang, X.L. & Jia, Y.B. & Zhang, L., 2014. "Impact of bounded noise and shortcuts on the spatiotemporal dynamics of neuronal networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 617-623.
    4. 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.
    5. Yao, Yuangen & Ma, Chengzhang & Wang, Canjun & Yi, Ming & Gui, Rong, 2018. "Detection of sub-threshold periodic signal by multiplicative and additive cross-correlated sine-Wiener noises in the FitzHugh–Nagumo neuron," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1247-1256.
    6. Wu, Fuqiang & Wang, Chunni & Jin, Wuyin & Ma, Jun, 2017. "Dynamical responses in a new neuron model subjected to electromagnetic induction and phase noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 81-88.
    7. Yuangen Yao & Haiyou Deng & Chengzhang Ma & Ming Yi & Jun Ma, 2017. "Impact of Bounded Noise and Rewiring on the Formation and Instability of Spiral Waves in a Small-World Network of Hodgkin-Huxley Neurons," PLOS ONE, Public Library of Science, vol. 12(1), pages 1-13, January.
    8. Lulu Lu & Ya Jia & Wangheng Liu & Lijian Yang, 2017. "Mixed Stimulus-Induced Mode Selection in Neural Activity Driven by High and Low Frequency Current under Electromagnetic Radiation," Complexity, Hindawi, vol. 2017, pages 1-11, October.
    9. 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.
    10. Ma, Jun & Mi, Lv & Zhou, Ping & Xu, Ying & Hayat, Tasawar, 2017. "Phase synchronization between two neurons induced by coupling of electromagnetic field," Applied Mathematics and Computation, Elsevier, vol. 307(C), pages 321-328.
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    Cited by:

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    2. Yu, Dong & Lu, Lulu & Wang, Guowei & Yang, Lijian & Jia, Ya, 2021. "Synchronization mode transition induced by bounded noise in multiple time-delays coupled FitzHugh–Nagumo model," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    3. Cheng, Guanghui & Gui, Rong & Yao, Yuangen & Yi, Ming, 2019. "Enhancement of temporal regularity and degradation of spatial synchronization induced by cross-correlated sine-Wiener noises in regular and small-world neuronal networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 361-369.
    4. Ge, Mengyan & Lu, Lulu & Xu, Ying & Mamatimin, Rozihajim & Pei, Qiming & Jia, Ya, 2020. "Vibrational mono-/bi-resonance and wave propagation in FitzHugh–Nagumo neural systems under electromagnetic induction," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
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    6. Cheng, Guanghui & Liu, Weidan & Gui, Rong & Yao, Yuangen, 2020. "Sine-Wiener bounded noise-induced logical stochastic resonance in a two-well potential system," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).

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