A robust method for classification of chimera states
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911538259951616 |
|---|---|
| author | Jenifer, S. Nirmala Muolo, Riccardo Muruganandam, Paulsamy Carletti, Timoteo |
| author_facet | Jenifer, S. Nirmala Muolo, Riccardo Muruganandam, Paulsamy Carletti, Timoteo |
| contents | Chimera states are one of the most intriguing phenomena in nonlinear dynamics, characterized by the coexistence of coherent and incoherent behavior in systems of coupled identical oscillators. Despite extensive studies and numerous observations in different settings, the development of reliable and systematic methods to classify chimera states and distinguish them from other dynamical patterns remains a challenging task. Existing approaches are often limited in scope and lack robustness. In this work, we propose a method based on Fourier analysis combined with statistical classification to characterize chimera behavior. The method is applied to a system of topological signals coupled via the Dirac operator, where it successfully captures the rich dynamical regimes exhibited by the model. We demonstrate that the proposed approach is robust with respect to variations in network topology and system parameters. Beyond the specific model considered, the framework provides a general and automated tool for distinguishing different dynamical regimes in complex systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_22026 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A robust method for classification of chimera states Jenifer, S. Nirmala Muolo, Riccardo Muruganandam, Paulsamy Carletti, Timoteo Pattern Formation and Solitons Mathematical Physics Adaptation and Self-Organizing Systems Chaotic Dynamics Computational Physics Chimera states are one of the most intriguing phenomena in nonlinear dynamics, characterized by the coexistence of coherent and incoherent behavior in systems of coupled identical oscillators. Despite extensive studies and numerous observations in different settings, the development of reliable and systematic methods to classify chimera states and distinguish them from other dynamical patterns remains a challenging task. Existing approaches are often limited in scope and lack robustness. In this work, we propose a method based on Fourier analysis combined with statistical classification to characterize chimera behavior. The method is applied to a system of topological signals coupled via the Dirac operator, where it successfully captures the rich dynamical regimes exhibited by the model. We demonstrate that the proposed approach is robust with respect to variations in network topology and system parameters. Beyond the specific model considered, the framework provides a general and automated tool for distinguishing different dynamical regimes in complex systems. |
| title | A robust method for classification of chimera states |
| topic | Pattern Formation and Solitons Mathematical Physics Adaptation and Self-Organizing Systems Chaotic Dynamics Computational Physics |
| url | https://arxiv.org/abs/2603.22026 |