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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.08901 |
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| _version_ | 1866911667271499776 |
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| author | Semenova, N. I. Semenov, V. V. Bukh, A. V. |
| author_facet | Semenova, N. I. Semenov, V. V. Bukh, A. V. |
| contents | The influence of extreme external forcing on traveling-wave dynamics in an ensemble of weakly nonlocally coupled excitable FitzHugh--Nagumo systems is studied. Three types of external exposure are considered: periodic Gaussian pulses, periodic pulses modulated by Gaussian white noise, and Lévy noise with tunable distribution parameters. Periodic forcing produces synchronization tongues with highly regular collective dynamics and may induce multiple traveling waves or coexistence of partial synchronization with wave propagation. In contrast, Lévy noise suppresses regular behavior and generates a regime of counter-propagating waves, which with increasing intensity transitions to random walking dynamics. The study provides a comprehensive classification of the observed dynamical regimes and presents their organization in parameter space for different types of extreme external forcing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_08901 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Extreme forcing and wave dynamics in weakly nonlocally coupled excitable FitzHugh-Nagumo systems Semenova, N. I. Semenov, V. V. Bukh, A. V. Adaptation and Self-Organizing Systems 90B15, 60H10, 60H40, 68M10 The influence of extreme external forcing on traveling-wave dynamics in an ensemble of weakly nonlocally coupled excitable FitzHugh--Nagumo systems is studied. Three types of external exposure are considered: periodic Gaussian pulses, periodic pulses modulated by Gaussian white noise, and Lévy noise with tunable distribution parameters. Periodic forcing produces synchronization tongues with highly regular collective dynamics and may induce multiple traveling waves or coexistence of partial synchronization with wave propagation. In contrast, Lévy noise suppresses regular behavior and generates a regime of counter-propagating waves, which with increasing intensity transitions to random walking dynamics. The study provides a comprehensive classification of the observed dynamical regimes and presents their organization in parameter space for different types of extreme external forcing. |
| title | Extreme forcing and wave dynamics in weakly nonlocally coupled excitable FitzHugh-Nagumo systems |
| topic | Adaptation and Self-Organizing Systems 90B15, 60H10, 60H40, 68M10 |
| url | https://arxiv.org/abs/2605.08901 |