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Synchronization in an array of linearly coupled dynamical systems
Abstract
This paper gives sufficient conditions for an array of linearly coupled systems to synchronize. A typical result states that the array will synchronize if the nonzero eigenvalues of the coupling matrix have real parts that are negative enough. In particular, we show that the intuitive idea that strong enough mutual diffusive coupling will synchronize an array of identical cells is true in general. Sufficient conditions for synchronization for several coupling configurations will be considered. For coupling that leaves the array decoupled at the synchronized state, the cells each follow their natural uncoupled dynamics at the synchronized state. We illustrate this with an array of chaotic oscillators. Extensions of these results to general coupling are discussed.>
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Cited by
Synchronization in complex networks
Arenas, A., Díaz-Guilera, A., Kurths, J., Moreno, Y., & Zhou, C. (2008) · Physics Reports · doi:10.1016/j.physrep.2008.09.002 · Cited by 3,713
Pinning synchronization of delayed dynamical networks via periodically intermittent control
Xia, W., & Cao, J. (2009) · Chaos: An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/1.3071933 · Cited by 313
Metadata
- Authors
- Wu, C. W., & Chua, L. O.
- Venue
- IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
- Published
- 1995
- Volume
- 42
- Issue
- 8
- Pages
- 430-447
- ISSN
- 1057-7122 (ISSN-L)
- OpenAlex
- W2141451487
- Cited by
- 968
- References
- 0
- FWCI
- 8.44
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Synchronization in an array of linearly coupled dynamical systems. https://app.cochat.ai/papers/10.1109/81.404047
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- Wu, C. W., & Chua, L. O. (1995). Synchronization in an array of linearly coupled dynamical systems. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications. https://doi.org/10.1109/81.404047
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