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Noise-Induced Phase Synchronization and Synchronization Transitions in Chaotic Oscillators
Abstract
Whether common noise can induce complete synchronization in chaotic systems has been a topic of great relevance and long-standing controversy. We first clarify the mechanism of this phenomenon and show that the existence of a significant contraction region, where nearby trajectories converge, plays a decisive role. Second, we demonstrate that, more generally, common noise can induce phase synchronization in nonidentical chaotic systems. Such a noise-induced synchronization and synchronization transitions are of special significance for understanding neuron encoding in neurobiology.
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Citations
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Heartbeat synchronized with ventilation
Schäfer, C., Rosenblum, M. G., Kurths, J., & Abel, H.-H. (1998) · Nature · doi:10.1038/32567 · Cited by 731
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Cited by
The synchronization of chaotic systems
Boccaletti, S., Kurths, J., Osipov, G., Valladares, D. L., & Zhou, C. S. (2002) · Physics Reports · doi:10.1016/s0370-1573(02)00137-0 · Cited by 2,764
Self-citationExplosive 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
Phase reduction approach to synchronisation of nonlinear oscillators
Nakao, H. (2016) · Contemporary Physics · doi:10.1080/00107514.2015.1094987 · Cited by 278
Secure Key Distribution Using Correlated Randomness in Lasers Driven by Common Random Light
Yoshimura, K., Muramatsu, J., Davis, P., Harayama, T., Okumura, H., Morikatsu, S., Aida, H., & Uchida, A. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.070602 · Cited by 174
Metadata
- Authors
- Zhou, C., & Kurths, J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2002-05-28
- Volume
- 88
- Issue
- 23
- Pages
- 230602-230602
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1972100964
- Cited by
- 255
- References
- 1
- FWCI
- 6.06
- Type
- journal article
- Language
- en
- Open access
- closed
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