Bifurcations and Intermittency in Coupled Dissipative Kicked Rotors
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915572717977600 |
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| author | Yan, Jin |
| author_facet | Yan, Jin |
| contents | We investigate the emergence of complex dynamics in a system of coupled dissipative kicked rotors and show that critical transitions can be understood via bifurcations of simple states. We study multistability and bifurcations in the single rotor model, demonstrating how these give rise to a variety of coexisting spatial patterns in a coupled system. A combined order parameter is introduced to characterize different spatial patterns and to reveal the coexistence of chaotic and regular attractors. Finally, we illustrate an intermittent phenomenon near the onset of chaos. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_13331 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bifurcations and Intermittency in Coupled Dissipative Kicked Rotors Yan, Jin Chaotic Dynamics Dynamical Systems We investigate the emergence of complex dynamics in a system of coupled dissipative kicked rotors and show that critical transitions can be understood via bifurcations of simple states. We study multistability and bifurcations in the single rotor model, demonstrating how these give rise to a variety of coexisting spatial patterns in a coupled system. A combined order parameter is introduced to characterize different spatial patterns and to reveal the coexistence of chaotic and regular attractors. Finally, we illustrate an intermittent phenomenon near the onset of chaos. |
| title | Bifurcations and Intermittency in Coupled Dissipative Kicked Rotors |
| topic | Chaotic Dynamics Dynamical Systems |
| url | https://arxiv.org/abs/2503.13331 |