### Abstract

We have investigated experimentally and computationally a synchronization scheme, based on control theory, for the case of two nearly identical chaotic diode resonators. From the experimentally captured time series we calculate the required feedback factor and explain why this factor can also be approximated as a constant for the duration of its application. Both the calculated and constant feedback factors are implemented experimentally in order to synchronize two resonators. In addition, we observe that the application of the perturbing factor was only necessary when the resonator was in the unstable region of the attractor.

Original language | English |
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Pages (from-to) | 2963-2973 |

Number of pages | 11 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 51 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1995 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics

### Cite this

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,

*51*(4), 2963-2973. https://doi.org/10.1103/PhysRevE.51.2963

**Synchronization of chaotic resonators based on control theory.** / Newell, T. C.; Alsing, P. M.; Gavrielides, A.; Kovanis, V.

Research output: Contribution to journal › Article

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*, vol. 51, no. 4, pp. 2963-2973. https://doi.org/10.1103/PhysRevE.51.2963

}

TY - JOUR

T1 - Synchronization of chaotic resonators based on control theory

AU - Newell, T. C.

AU - Alsing, P. M.

AU - Gavrielides, A.

AU - Kovanis, V.

PY - 1995

Y1 - 1995

N2 - We have investigated experimentally and computationally a synchronization scheme, based on control theory, for the case of two nearly identical chaotic diode resonators. From the experimentally captured time series we calculate the required feedback factor and explain why this factor can also be approximated as a constant for the duration of its application. Both the calculated and constant feedback factors are implemented experimentally in order to synchronize two resonators. In addition, we observe that the application of the perturbing factor was only necessary when the resonator was in the unstable region of the attractor.

AB - We have investigated experimentally and computationally a synchronization scheme, based on control theory, for the case of two nearly identical chaotic diode resonators. From the experimentally captured time series we calculate the required feedback factor and explain why this factor can also be approximated as a constant for the duration of its application. Both the calculated and constant feedback factors are implemented experimentally in order to synchronize two resonators. In addition, we observe that the application of the perturbing factor was only necessary when the resonator was in the unstable region of the attractor.

UR - http://www.scopus.com/inward/record.url?scp=6144246391&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=6144246391&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.51.2963

DO - 10.1103/PhysRevE.51.2963

M3 - Article

AN - SCOPUS:6144246391

VL - 51

SP - 2963

EP - 2973

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 4

ER -