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Suppression of spiral wave turbulence by means of periodic plane waves in two-layer excitable media

Author

Listed:
  • Wang, Zhen
  • Rostami, Zahra
  • Jafari, Sajad
  • Alsaadi, Fawaz E.
  • Slavinec, Mitja
  • Perc, Matjaž

Abstract

Spiral waves are relatively common, yet fascinating, visually appealing, and important phenomena in many nonlinear dynamical systems. The emergence of spiral waves in the heart’s atrium, for example, signals abnormality that can lead to arrhythmias such as atrial flutter and atrial fibrillation. Spiral waves have also been associated with the disruption of resting states in the human brain, which are crucial for unimpaired cognitive ability and information processing. Here we consider two-layer excitable media, where spiral wave turbulence is triggered as the initial state. We study the effects of periodic plane waves on the dynamics of spiral wave turbulence, in particular by varying their spatial frequency. Our research shows that planes waves with low spatial frequency are in general too weak to overcome spiral wave turbulence. But when the spatial frequency is sufficiently increased, the plane waves can overcome spiral wave turbulence and impose a stripped spatial pattern over the excitable media. By increasing the spatial frequency of the plane waves even further, we show that it is possible to minimize the time needed to destroy spiral wave turbulence, although we also observe an upper limit beyond which the recurrence of turbulence is likely. This is linked to residual spirals that remain following a too rash elimination attempt, which then gradually regain footing across the whole medium.

Suggested Citation

  • Wang, Zhen & Rostami, Zahra & Jafari, Sajad & Alsaadi, Fawaz E. & Slavinec, Mitja & Perc, Matjaž, 2019. "Suppression of spiral wave turbulence by means of periodic plane waves in two-layer excitable media," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 229-233.
    • Handle: RePEc:eee:chsofr:v:128:y:2019:i:c:p:229-233
    DOI: 10.1016/j.chaos.2019.07.045
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    References listed on IDEAS

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    1. Ke Ding & Zahra Rostami & Sajad Jafari & Boshra Hatef, 2018. "Investigation of Cortical Signal Propagation and the Resulting Spatiotemporal Patterns in Memristor-Based Neuronal Network," Complexity, Hindawi, vol. 2018, pages 1-20, June.
    2. Rostami, Zahra & Rajagopal, Karthikeyan & Khalaf, Abdul Jalil M. & Jafari, Sajad & Perc, Matjaž & Slavinec, Mitja, 2018. "Wavefront-obstacle interactions and the initiation of reentry in excitable media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 1162-1173.
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    Cited by:

    1. Li, Fan & Liu, Shuai & Li, Xiaola, 2022. "Pattern selection in thermosensitive neuron network induced by noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 589(C).
    2. Nazimuddin, A.K.M. & Kabir, M. Humayun & Gani, M. Osman, 2023. "Spiral patterns and numerical bifurcation analysis in a three-component Brusselator model for chemical reactions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 577-591.
    3. Yuan, Guoyong & Liu, Pengwei & Shi, Jifang & Wang, Guangrui, 2023. "Dynamics and control of spiral waves under feedback derived from a moving measuring point," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    4. Li, Fan, 2020. "Effect of field coupling on the wave propagation in the neuronal network," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    5. Rajagopal, Karthikeyan & Karthikeyan, Anitha, 2022. "Spiral waves and their characterization through spatioperiod and spatioenergy under distinct excitable media," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    6. Ding, Qianming & Wu, Yong & Hu, Yipeng & Liu, Chaoyue & Hu, Xueyan & Jia, Ya, 2023. "Tracing the elimination of reentry spiral waves in defibrillation: Temperature effects," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    7. Hu, Yipeng & Ding, Qianming & Wu, Yong & Jia, Ya, 2023. "Polarized electric field-induced drift of spiral waves in discontinuous cardiac media," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).

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