### Abstract

Chaotic phase and lag synchronizations are subtle dynamical phenomena in which the phases of two mutually coupled, nonidentical chaotic oscillators become correlated. We investigate to what extent phase and lag synchronizations can be observed in laboratory experiments. Specifically, for phase synchronization, we study the effect of noise. It is found that additive white noise can induce phase slips in integer multiples of 2 pi 's in parameter regimes where phase synchronization is observed in the absence of noise. The average time duration of the temporal phase synchronization scales with the noise amplitude in a way that can be described as super-persistent transient. We give two independent heuristic derivations that yield the same numerically observed scaling law. For lag synchronization, we perform laboratory experiments using chaotic electronic circuits. Our measurements indicate that due to the influence of noise, lag synchronization occurs only intermittently in time. Numerical confirmation and a heuristic explanation to the observed intermittent behavior are given.

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

Title of host publication | PROCEEDINGS OF THE 5TH EXPERIMENTAL CHAOS CONFERENCE |

Editors | M Ding, W Ditto, LM Pecora, ML Spano |

Place of Publication | SINGAPORE |

Publisher | WORLD SCIENTIFIC PUBL CO PTE LTD |

Pages | 233-246 |

Number of pages | 4 |

ISBN (Print) | 981-02-4561-0 |

Publication status | Published - 2001 |

Event | 5th Experimental Chaos Conference - ORLANDO Duration: 28 Jun 1999 → 1 Jul 1999 |

### Conference

Conference | 5th Experimental Chaos Conference |
---|---|

City | ORLANDO |

Period | 28/06/99 → 1/07/99 |

### Keywords

- DYNAMICAL-SYSTEMS
- OSCILLATOR-SYSTEMS
- TRANSITION
- BIFURCATION

### Cite this

*PROCEEDINGS OF THE 5TH EXPERIMENTAL CHAOS CONFERENCE*(pp. 233-246). SINGAPORE: WORLD SCIENTIFIC PUBL CO PTE LTD.

**Experimental manifestations of phase and lag synchronizations in coupled chaotic systems.** / Lai, Y C ; Andrade, V ; Davidchack, R ; Taherion, S ; Lai, Ying-Cheng.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*PROCEEDINGS OF THE 5TH EXPERIMENTAL CHAOS CONFERENCE.*WORLD SCIENTIFIC PUBL CO PTE LTD, SINGAPORE, pp. 233-246, 5th Experimental Chaos Conference, ORLANDO, 28/06/99.

}

TY - GEN

T1 - Experimental manifestations of phase and lag synchronizations in coupled chaotic systems

AU - Lai, Y C

AU - Andrade, V

AU - Davidchack, R

AU - Taherion, S

AU - Lai, Ying-Cheng

PY - 2001

Y1 - 2001

N2 - Chaotic phase and lag synchronizations are subtle dynamical phenomena in which the phases of two mutually coupled, nonidentical chaotic oscillators become correlated. We investigate to what extent phase and lag synchronizations can be observed in laboratory experiments. Specifically, for phase synchronization, we study the effect of noise. It is found that additive white noise can induce phase slips in integer multiples of 2 pi 's in parameter regimes where phase synchronization is observed in the absence of noise. The average time duration of the temporal phase synchronization scales with the noise amplitude in a way that can be described as super-persistent transient. We give two independent heuristic derivations that yield the same numerically observed scaling law. For lag synchronization, we perform laboratory experiments using chaotic electronic circuits. Our measurements indicate that due to the influence of noise, lag synchronization occurs only intermittently in time. Numerical confirmation and a heuristic explanation to the observed intermittent behavior are given.

AB - Chaotic phase and lag synchronizations are subtle dynamical phenomena in which the phases of two mutually coupled, nonidentical chaotic oscillators become correlated. We investigate to what extent phase and lag synchronizations can be observed in laboratory experiments. Specifically, for phase synchronization, we study the effect of noise. It is found that additive white noise can induce phase slips in integer multiples of 2 pi 's in parameter regimes where phase synchronization is observed in the absence of noise. The average time duration of the temporal phase synchronization scales with the noise amplitude in a way that can be described as super-persistent transient. We give two independent heuristic derivations that yield the same numerically observed scaling law. For lag synchronization, we perform laboratory experiments using chaotic electronic circuits. Our measurements indicate that due to the influence of noise, lag synchronization occurs only intermittently in time. Numerical confirmation and a heuristic explanation to the observed intermittent behavior are given.

KW - DYNAMICAL-SYSTEMS

KW - OSCILLATOR-SYSTEMS

KW - TRANSITION

KW - BIFURCATION

M3 - Conference contribution

SN - 981-02-4561-0

SP - 233

EP - 246

BT - PROCEEDINGS OF THE 5TH EXPERIMENTAL CHAOS CONFERENCE

A2 - Ding, M

A2 - Ditto, W

A2 - Pecora, LM

A2 - Spano, ML

PB - WORLD SCIENTIFIC PUBL CO PTE LTD

CY - SINGAPORE

ER -