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A study on dynamics and multiscale complexity of a neuro system

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  • Palit, Sanjay K.
  • Mukherjee, Sayan

Abstract

We explore the chaotic dynamics and complexity of a neuro-system with respect to variable synaptic weights in both noise free and noisy conditions. The chaotic dynamics of the system is investigated by bifurcation analysis and 0−1 test. A multiscale complexity of the system is proposed based on the notion of recurrence plot density entropy. Numerical results support the proposed analysis. Impact of music on the aforesaid neuro-system has also been studied. The analysis shows that inclusion of white noise even with a minimal strength makes the neuro dynamics more complex, where as music signal keeps the dynamics almost similar to that of the original system. This is properly interpreted by the proposed multiscale complexity measure.

Suggested Citation

  • Palit, Sanjay K. & Mukherjee, Sayan, 2021. "A study on dynamics and multiscale complexity of a neuro system," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
  • Handle: RePEc:eee:chsofr:v:145:y:2021:i:c:s0960077921000904
    DOI: 10.1016/j.chaos.2021.110737
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    References listed on IDEAS

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    1. Chen, Yun & Yang, Hui, 2012. "Multiscale recurrence analysis of long-term nonlinear and nonstationary time series," Chaos, Solitons & Fractals, Elsevier, vol. 45(7), pages 978-987.
    2. Xu, Mengjia & Shang, Pengjian & Lin, Aijing, 2017. "Multiscale recurrence quantification analysis of order recurrence plots," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 381-389.
    3. Shaobo He & Santo Banerjee & Bo Yan, 2018. "Chaos and Symbol Complexity in a Conformable Fractional-Order Memcapacitor System," Complexity, Hindawi, vol. 2018, pages 1-15, August.
    4. Mukherjee, Sayan & Banerjee, Santo & Rondoni, Lamberto, 2018. "Dispersive graded entropy on computing dynamical complexity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 131-140.
    5. He, Shaobo & Banerjee, Santo, 2018. "Multicavity formations and complexity modulation in a hyperchaotic discrete system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 366-377.
    6. Wu, Shuen-De & Wu, Chiu-Wen & Lee, Kung-Yen & Lin, Shiou-Gwo, 2013. "Modified multiscale entropy for short-term time series analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(23), pages 5865-5873.
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