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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Online-Zugang: | https://arxiv.org/abs/2405.06833 |
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| _version_ | 1866910527685394432 |
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| author | Rybalova, Elena Semenova, Nadezhda |
| author_facet | Rybalova, Elena Semenova, Nadezhda |
| contents | In this article we consider the influence of a periodic sequence of Gaussian pulses on a chimera state in a ring of coupled FitzHugh-Nagumo systems. We found that on the way to complete spatial synchronization one can observe a number of variations of chimera states that are not typical for the parameter range under consideration. For example, the following modes were found: breathing chimera, chimera with intermittency in the incoherent part, traveling chimera with strong intermittency, and others. For comparison, here we also consider the impact of a harmonic influence on the same chimera, and to preserve the generality of the conclusions, we compare the regimes caused by both a purely positive harmonic influence and a positive-negative one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06833 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Impact of pulse exposure on chimera state in ensemble of FitzHugh-Nagumo systems Rybalova, Elena Semenova, Nadezhda Adaptation and Self-Organizing Systems 90B15, 60H10, 60H40, 68M10 In this article we consider the influence of a periodic sequence of Gaussian pulses on a chimera state in a ring of coupled FitzHugh-Nagumo systems. We found that on the way to complete spatial synchronization one can observe a number of variations of chimera states that are not typical for the parameter range under consideration. For example, the following modes were found: breathing chimera, chimera with intermittency in the incoherent part, traveling chimera with strong intermittency, and others. For comparison, here we also consider the impact of a harmonic influence on the same chimera, and to preserve the generality of the conclusions, we compare the regimes caused by both a purely positive harmonic influence and a positive-negative one. |
| title | Impact of pulse exposure on chimera state in ensemble of FitzHugh-Nagumo systems |
| topic | Adaptation and Self-Organizing Systems 90B15, 60H10, 60H40, 68M10 |
| url | https://arxiv.org/abs/2405.06833 |