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First Order Phase Transition Resulting from Finite Inertia in Coupled Oscillator Systems
Abstract
We analyze the collective behavior of a set of coupled damped driven pendula with finite (large) inertia, and show that the synchronization of the oscillators exhibits a first order phase transition synchronization onset, substantially different from the second order transition obtained in the case of no inertia. There is hysteresis between two macroscopic states, a weakly and a strongly coherent synchronized state, depending on the coupling and the initial state of the oscillators. A self-consistent theory is shown to determine these cooperative phenomena and to predict the observed numerical data in specific examples.
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Cites
The Geometry of Biological Time
Winfree, A. T. (1980) · doi:10.1007/978-3-662-22492-2 · Cited by 3,613
Cited by
Critical phenomena in complex networks
Dorogovtsev, S. N., Goltsev, A. V., & Mendes, J. F. F. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1275 · Cited by 2,220
Time Delay in the Kuramoto Model of Coupled Oscillators
Yeung, M. K. S., & Strogatz, S. H. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.648 · Cited by 601
Explosive transitions in complex networks’ structure and dynamics: Percolation and synchronization
Boccaletti, S., Almendral, J. A., Guan, S., Leyva, I., Liu, Z., Sendiña-Nadal, I., Wang, Z., & Zou, Y. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.10.004 · Cited by 363
Metadata
- Authors
- Tanaka, H.-A., Lichtenberg, A. J., & Oishi, S.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1997-03-17
- Volume
- 78
- Issue
- 11
- Pages
- 2104-2107
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1567439609
- Cited by
- 225
- References
- 1
- FWCI
- 9.52
- Type
- journal article
- Language
- en
- Open access
- closed
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- Tanaka, H.-A., Lichtenberg, A. J., & Oishi, S. (1997). First Order Phase Transition Resulting from Finite Inertia in Coupled Oscillator Systems. Physical Review Letters. https://doi.org/10.1103/physrevlett.78.2104
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