Recurrent chaotic clustering and slow chaos in adaptive networks
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909286381125632 |
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| author | Sales, Matheus Rolim Yanchuk, Serhiy Kurths, Jürgen |
| author_facet | Sales, Matheus Rolim Yanchuk, Serhiy Kurths, Jürgen |
| contents | Adaptive dynamical networks are network systems in which the structure co-evolves and interacts with the dynamical state of the nodes. We study an adaptive dynamical network in which the structure changes on a slower time scale relative to the fast dynamics of the nodes. We identify a phenomenon we refer to as recurrent adaptive chaotic clustering (RACC), in which chaos is observed on a slow time scale, while the fast time scale exhibits regular dynamics. Such slow chaos is further characterized by long (relative to the fast time scale) regimes of frequency clusters or frequency-synchronized dynamics, interrupted by fast jumps between these regimes. We also determine parameter values where the time intervals between jumps are chaotic and show that such a state is robust to changes in parameters and initial conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_17646 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Recurrent chaotic clustering and slow chaos in adaptive networks Sales, Matheus Rolim Yanchuk, Serhiy Kurths, Jürgen Adaptation and Self-Organizing Systems Chaotic Dynamics Adaptive dynamical networks are network systems in which the structure co-evolves and interacts with the dynamical state of the nodes. We study an adaptive dynamical network in which the structure changes on a slower time scale relative to the fast dynamics of the nodes. We identify a phenomenon we refer to as recurrent adaptive chaotic clustering (RACC), in which chaos is observed on a slow time scale, while the fast time scale exhibits regular dynamics. Such slow chaos is further characterized by long (relative to the fast time scale) regimes of frequency clusters or frequency-synchronized dynamics, interrupted by fast jumps between these regimes. We also determine parameter values where the time intervals between jumps are chaotic and show that such a state is robust to changes in parameters and initial conditions. |
| title | Recurrent chaotic clustering and slow chaos in adaptive networks |
| topic | Adaptation and Self-Organizing Systems Chaotic Dynamics |
| url | https://arxiv.org/abs/2402.17646 |