Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2511.21058 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915994610434048 |
|---|---|
| author | Liu, Lintao Uchida, Nariya |
| author_facet | Liu, Lintao Uchida, Nariya |
| contents | Chimera states, characterized by the coexistence of coherent and incoherent domains, represent a paradigm of self-organization in complex systems. In this study, we introduce a topological analysis method based on winding numbers to characterize the dynamics of spiral wave chimeras in a two-dimensional phase oscillator network. Our investigation reveals distinct scaling laws governing the system's evolution across the phase lag $α$. Perturbation analysis in the limit $α\to 0$ demonstrates that the incoherent core radius scales linearly with $α$. In contrast, within the stable chimera regime, the average total positive winding number $μ$ follows a clear exponential growth law $μ= ae^{bα}$. This scaling disparity signals a physical crossover from a regime dominated by geometric core expansion to one driven by active topological excitation. Furthermore, we identify a statistical transition in the defect distribution from binomial-like to Poisson-like behavior at a critical threshold $α^*$. These results demonstrate that topological defects possess intrinsic statistical order, establishing $μ$ as a robust macro-variable for analyzing the structural complexity of chimera states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_21058 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological defects in spiral wave chimera states Liu, Lintao Uchida, Nariya Adaptation and Self-Organizing Systems Chimera states, characterized by the coexistence of coherent and incoherent domains, represent a paradigm of self-organization in complex systems. In this study, we introduce a topological analysis method based on winding numbers to characterize the dynamics of spiral wave chimeras in a two-dimensional phase oscillator network. Our investigation reveals distinct scaling laws governing the system's evolution across the phase lag $α$. Perturbation analysis in the limit $α\to 0$ demonstrates that the incoherent core radius scales linearly with $α$. In contrast, within the stable chimera regime, the average total positive winding number $μ$ follows a clear exponential growth law $μ= ae^{bα}$. This scaling disparity signals a physical crossover from a regime dominated by geometric core expansion to one driven by active topological excitation. Furthermore, we identify a statistical transition in the defect distribution from binomial-like to Poisson-like behavior at a critical threshold $α^*$. These results demonstrate that topological defects possess intrinsic statistical order, establishing $μ$ as a robust macro-variable for analyzing the structural complexity of chimera states. |
| title | Topological defects in spiral wave chimera states |
| topic | Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2511.21058 |