### Abstract

Phase synchronization transitions in two different coupled chaotic systems (Rössler and Lorentz) are investigated and shown to be well described by a reduced model of an overdamped periodically driven nonlinear oscillator with a time varying coefficient. In both systems, the phase separation increases with 2π phase jumps below the transition. The scaling rules of the jump near and away from the transition are studied: Near the transition the average interval between two successive jumps follows In〈l〉 ∼ - (ε_{c} - ε)^{1/2}, while away from the transition 〈l〉 ∼ (ε_{1} - ε)^{-1/2} for both systems.

Original language | English |
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Pages (from-to) | 321-324 |

Number of pages | 4 |

Journal | Physical Review Letters |

Volume | 81 |

Issue number | 2 |

Publication status | Published - 1998 Dec 1 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physical Review Letters*,

*81*(2), 321-324.

**Phase jumps near a phase synchronization transition in systems of two coupled chaotic oscillators.** / Lee, Kyoung Jin; Kwak, Yongho; Lim, Tong Kun.

Research output: Contribution to journal › Article

*Physical Review Letters*, vol. 81, no. 2, pp. 321-324.

}

TY - JOUR

T1 - Phase jumps near a phase synchronization transition in systems of two coupled chaotic oscillators

AU - Lee, Kyoung Jin

AU - Kwak, Yongho

AU - Lim, Tong Kun

PY - 1998/12/1

Y1 - 1998/12/1

N2 - Phase synchronization transitions in two different coupled chaotic systems (Rössler and Lorentz) are investigated and shown to be well described by a reduced model of an overdamped periodically driven nonlinear oscillator with a time varying coefficient. In both systems, the phase separation increases with 2π phase jumps below the transition. The scaling rules of the jump near and away from the transition are studied: Near the transition the average interval between two successive jumps follows In〈l〉 ∼ - (εc - ε)1/2, while away from the transition 〈l〉 ∼ (ε1 - ε)-1/2 for both systems.

AB - Phase synchronization transitions in two different coupled chaotic systems (Rössler and Lorentz) are investigated and shown to be well described by a reduced model of an overdamped periodically driven nonlinear oscillator with a time varying coefficient. In both systems, the phase separation increases with 2π phase jumps below the transition. The scaling rules of the jump near and away from the transition are studied: Near the transition the average interval between two successive jumps follows In〈l〉 ∼ - (εc - ε)1/2, while away from the transition 〈l〉 ∼ (ε1 - ε)-1/2 for both systems.

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M3 - Article

VL - 81

SP - 321

EP - 324

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 2

ER -