### Abstract

A basic requirement for on-off intermittency to occur is that the system possesses an invariant subspace. We address how on-off intermittency manifests itself when a perturbation destroys the invariant subspace. In particular, we distinguish between situations where the threshold for measuring the on-off intermittency in numerical or physical experiments is much larger than or is comparable to the size of the perturbation. Our principal result is that, as the perturbation parameter increases from zero, a metamorphosis in on-off intermittency occurs in the sense that scaling laws associated with physically measurable quantities change abruptly. A geometric analysis, a random-walk model, and numerical computations support the result.

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

Article number | 016220 |

Pages (from-to) | - |

Number of pages | 9 |

Journal | Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 6401 |

Issue number | 1 |

Publication status | Published - Jul 2001 |

### Keywords

- COUPLED-OSCILLATOR-SYSTEMS
- CHAOTIC DYNAMICAL-SYSTEMS
- INTERMINGLED BASINS
- SYNCHRONIZED CHAOS
- POWER SPECTRUM
- BIFURCATION

### Cite this

*Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*,

*6401*(1), -. [016220].

**Perturbed on-off intermittency.** / Marthaler, D ; Armbruster, D ; Lai, Y C ; Kostelich, E J ; Lai, Ying-Cheng.

Research output: Contribution to journal › Article

*Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*, vol. 6401, no. 1, 016220, pp. -.

}

TY - JOUR

T1 - Perturbed on-off intermittency

AU - Marthaler, D

AU - Armbruster, D

AU - Lai, Y C

AU - Kostelich, E J

AU - Lai, Ying-Cheng

PY - 2001/7

Y1 - 2001/7

N2 - A basic requirement for on-off intermittency to occur is that the system possesses an invariant subspace. We address how on-off intermittency manifests itself when a perturbation destroys the invariant subspace. In particular, we distinguish between situations where the threshold for measuring the on-off intermittency in numerical or physical experiments is much larger than or is comparable to the size of the perturbation. Our principal result is that, as the perturbation parameter increases from zero, a metamorphosis in on-off intermittency occurs in the sense that scaling laws associated with physically measurable quantities change abruptly. A geometric analysis, a random-walk model, and numerical computations support the result.

AB - A basic requirement for on-off intermittency to occur is that the system possesses an invariant subspace. We address how on-off intermittency manifests itself when a perturbation destroys the invariant subspace. In particular, we distinguish between situations where the threshold for measuring the on-off intermittency in numerical or physical experiments is much larger than or is comparable to the size of the perturbation. Our principal result is that, as the perturbation parameter increases from zero, a metamorphosis in on-off intermittency occurs in the sense that scaling laws associated with physically measurable quantities change abruptly. A geometric analysis, a random-walk model, and numerical computations support the result.

KW - COUPLED-OSCILLATOR-SYSTEMS

KW - CHAOTIC DYNAMICAL-SYSTEMS

KW - INTERMINGLED BASINS

KW - SYNCHRONIZED CHAOS

KW - POWER SPECTRUM

KW - BIFURCATION

M3 - Article

VL - 6401

SP - -

JO - Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

SN - 1063-651X

IS - 1

M1 - 016220

ER -