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Synchronization mode transition induced by bounded noise in multiple time-delays coupled FitzHugh–Nagumo model

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  • Yu, Dong
  • Lu, Lulu
  • Wang, Guowei
  • Yang, Lijian
  • Jia, Ya

Abstract

Noise and time-delays are ubiquitous in physical and biological systems. In this paper, the multiple time-delays coupled FitzHugh-Nagumo (FHN) models is employed to investigate the synchronization mode transition. The orbital projection method is used to study the difference of membrane potential between two FHN neurons in the phase plane, and a measure of anti-phase is defined to characterize the synchronization state of neural system. It is shown that the synchronization mode of coupled neurons is different while changing the parameters of the system. In the absence of noise, as the coupling strength increases, the firing mode of two coupled neurons undergoes a succession of transitions (i.e., from the asynchronous state, to the completely synchronized state, then the anti-phase state, and finally to the completely synchronized state again). In the presence of noise, the synchronization mode of neurons becomes more diversified with the increasing of noise intensity. Moreover, by changing the time-delay and coupling strength, the sensitivity of two-neuron to noise can be changed, thereby the synchronization mode transition can be adjusted.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921003544
    DOI: 10.1016/j.chaos.2021.111000
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    1. 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.
    2. 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.
    3. Guo, Wei & Du, Lu-Chun & Mei, Dong-Cheng, 2012. "Transitions induced by time delays and cross-correlated sine-Wiener noises in a tumor–immune system interplay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1270-1280.
    4. Mohadeseh Shafiei & Fatemeh Parastesh & Mahdi Jalili & Sajad Jafari & Matjaž Perc & Mitja Slavinec, 2019. "Effects of partial time delays on synchronization patterns in Izhikevich neuronal networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(2), pages 1-7, February.
    5. Che, Yan-Qiu & Wang, Jiang & Zhou, Si-Si & Deng, Bin, 2009. "Robust synchronization control of coupled chaotic neurons under external electrical stimulation," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1333-1342.
    6. 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.
    7. Xu, Ying & Guo, Yeye & Ren, Guodong & Ma, Jun, 2020. "Dynamics and stochastic resonance in a thermosensitive neuron," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    8. 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).
    9. Ying Xu & Ya Jia & John Billy Kirunda & Jian Shen & Mengyan Ge & Lulu Lu & Qiming Pei, 2018. "Dynamic Behaviors in Coupled Neuron System with the Excitatory and Inhibitory Autapse under Electromagnetic Induction," Complexity, Hindawi, vol. 2018, pages 1-13, July.
    10. Hou, Zhangliang & Ma, Jun & Zhan, Xuan & Yang, Lijian & Jia, Ya, 2021. "Estimate the electrical activity in a neuron under depolarization field," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    11. 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.
    12. Zhang, Ting & Wang, Jiang & Fei, Xiangyang & Deng, Bin, 2007. "Synchronization of coupled FitzHugh–Nagumo systems via MIMO feedback linearization control," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 194-202.
    13. Lu, Lulu & Ge, Mengyan & Xu, Ying & Jia, Ya, 2019. "Phase synchronization and mode transition induced by multiple time delays and noises in coupled FitzHugh–Nagumo model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
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