### Abstract

Noise-induced synchronization refers to the phenomenon where two uncoupled, independent nonlinear oscillators can achieve synchronization through a "common" noisy forcing. Here, "common" means identical. However, "common noise" is a construct which does not exist in practice. Noise by nature is unique and two noise signals cannot be exactly the same. How to justify and understand this central concept in noise-induced synchronization? What is the relation between noise-induced synchronization and the usual chaotic synchronization? Here we argue and demonstrate that noise-induced synchronization is closely related to generalized synchronization as characterized by the emergence of a functional relation between distinct dynamical systems through mutual interaction. We show that the same mechanism applies to the phenomenon of noise-induced (or chaos-induced) phase synchronization. (c) 2005 Published by Elsevier B.V.

Original language | English |
---|---|

Pages (from-to) | 30-33 |

Number of pages | 4 |

Journal | Physics Letters A |

Volume | 353 |

Issue number | 1 |

DOIs | |

Publication status | Published - 17 Apr 2006 |

### Keywords

- ENHANCED PHASE SYNCHRONIZATION
- COHERENCE RESONANCE
- GENERALIZED SYNCHRONIZATION
- STOCHASTIC RESONANCE
- CHAOTIC OSCILLATORS
- DYNAMICAL-SYSTEMS

### Cite this

*Physics Letters A*,

*353*(1), 30-33. https://doi.org/10.1016/j.physleta.2005.11.067

**Understanding synchronization induced by "common noise".** / Guan, S G ; Lai, Y C ; Lai, C H ; Gong, X F ; Lai, Ying-Cheng.

Research output: Contribution to journal › Article

*Physics Letters A*, vol. 353, no. 1, pp. 30-33. https://doi.org/10.1016/j.physleta.2005.11.067

}

TY - JOUR

T1 - Understanding synchronization induced by "common noise"

AU - Guan, S G

AU - Lai, Y C

AU - Lai, C H

AU - Gong, X F

AU - Lai, Ying-Cheng

PY - 2006/4/17

Y1 - 2006/4/17

N2 - Noise-induced synchronization refers to the phenomenon where two uncoupled, independent nonlinear oscillators can achieve synchronization through a "common" noisy forcing. Here, "common" means identical. However, "common noise" is a construct which does not exist in practice. Noise by nature is unique and two noise signals cannot be exactly the same. How to justify and understand this central concept in noise-induced synchronization? What is the relation between noise-induced synchronization and the usual chaotic synchronization? Here we argue and demonstrate that noise-induced synchronization is closely related to generalized synchronization as characterized by the emergence of a functional relation between distinct dynamical systems through mutual interaction. We show that the same mechanism applies to the phenomenon of noise-induced (or chaos-induced) phase synchronization. (c) 2005 Published by Elsevier B.V.

AB - Noise-induced synchronization refers to the phenomenon where two uncoupled, independent nonlinear oscillators can achieve synchronization through a "common" noisy forcing. Here, "common" means identical. However, "common noise" is a construct which does not exist in practice. Noise by nature is unique and two noise signals cannot be exactly the same. How to justify and understand this central concept in noise-induced synchronization? What is the relation between noise-induced synchronization and the usual chaotic synchronization? Here we argue and demonstrate that noise-induced synchronization is closely related to generalized synchronization as characterized by the emergence of a functional relation between distinct dynamical systems through mutual interaction. We show that the same mechanism applies to the phenomenon of noise-induced (or chaos-induced) phase synchronization. (c) 2005 Published by Elsevier B.V.

KW - ENHANCED PHASE SYNCHRONIZATION

KW - COHERENCE RESONANCE

KW - GENERALIZED SYNCHRONIZATION

KW - STOCHASTIC RESONANCE

KW - CHAOTIC OSCILLATORS

KW - DYNAMICAL-SYSTEMS

U2 - 10.1016/j.physleta.2005.11.067

DO - 10.1016/j.physleta.2005.11.067

M3 - Article

VL - 353

SP - 30

EP - 33

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 1

ER -