Strong coupling yields abrupt synchronization transitions in coupled oscillators Article Swipe
Jorge Luis Ocampo‐Espindola
,
István Z. Kiss
,
Christian Bick
,
Kyle C. A. Wedgwood
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2402.16471
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2402.16471
Coupled oscillator networks often display transitions between qualitatively different phase-locked solutions -- such as synchrony and rotating wave solutions -- following perturbation or parameter variation. In the limit of weak coupling, these transitions can be understood in terms of commonly studied phase approximations. As the coupling strength increases, however, predicting the location and criticality of transition, whether continuous or discontinuous, from the phase dynamics may depend on the order of the phase approximation -- or a phase description of the network dynamics that neglects amplitudes may become impossible altogether. Here we analyze synchronization transitions and their criticality systematically for varying coupling strength in theory and experiments with coupled electrochemical oscillators. First, we analyze bifurcations analysis of synchrony and splay states in an abstract phase model and discuss conditions under which synchronization transitions with different criticalities are possible. Second, we illustrate that transitions with different criticality indeed occur in experimental systems. Third, we highlight that the amplitude dynamics observed in the experiments can be captured in a numerical bifurcation analysis of delay-coupled oscillators. Our results showcase that reduced order phase models may miss important features that one would expect in the dynamics of the full system.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2402.16471
- https://arxiv.org/pdf/2402.16471
- OA Status
- green
- Cited By
- 1
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4392222635
All OpenAlex metadata
Raw OpenAlex JSON
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https://openalex.org/W4392222635Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2402.16471Digital Object Identifier
- Title
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Strong coupling yields abrupt synchronization transitions in coupled oscillatorsWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2024Year of publication
- Publication date
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2024-02-26Full publication date if available
- Authors
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Jorge Luis Ocampo‐Espindola, István Z. Kiss, Christian Bick, Kyle C. A. WedgwoodList of authors in order
- Landing page
-
https://arxiv.org/abs/2402.16471Publisher landing page
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https://arxiv.org/pdf/2402.16471Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2402.16471Direct OA link when available
- Concepts
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Coupling (piping), Synchronization (alternating current), Physics, Control theory (sociology), Computer science, Topology (electrical circuits), Materials science, Engineering, Electrical engineering, Artificial intelligence, Control (management), MetallurgyTop concepts (fields/topics) attached by OpenAlex
- Cited by
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1Total citation count in OpenAlex
- Citations by year (recent)
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2025: 1Per-year citation counts (last 5 years)
- Related works (count)
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10Other works algorithmically related by OpenAlex
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