### Abstract

We investigate experimentally the scaling of the average time tau between intermittent, noise-induced bursts for a chaotic mechanical system near a crisis. The system studied is a periodically driven (frequency f) magnetoelastic ribbon. Theory predicts that for deterministic crises where tau-scales as tau approximately (f-f(c))-gamma (f < f(c), f = f(c) at crisis), the characteristic time between noise-induced bursts (f greater-than-or-equal-to f(c)) should scale as tau approximately sigma-gamma-g((f-f(c))/sigma), where sigma is the noise strength and gamma is the same in both cases. We determine gamma for the low-noise ("deterministic") system, then add noise and observe that the scaling for tau is as predicted.

Original language | English |
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Pages (from-to) | 1947-1950 |

Number of pages | 4 |

Journal | Physical Review Letters |

Volume | 66 |

Issue number | 15 |

DOIs | |

Publication status | Published - 15 Apr 1991 |

### Keywords

- induced intermittency
- chaotic attractors
- critical exponent
- transient chaos
- oscillator

### Cite this

*Physical Review Letters*,

*66*(15), 1947-1950. https://doi.org/10.1103/PhysRevLett.66.1947

**Experimental confirmation of the scaling theory for noise-induced crises.** / Sommerer, John C; Ditto, William L.; Grebogi, Celso ; Ott, Edward ; Spano, Mark L.

Research output: Contribution to journal › Article

*Physical Review Letters*, vol. 66, no. 15, pp. 1947-1950. https://doi.org/10.1103/PhysRevLett.66.1947

}

TY - JOUR

T1 - Experimental confirmation of the scaling theory for noise-induced crises

AU - Sommerer, John C

AU - Ditto, William L.

AU - Grebogi, Celso

AU - Ott, Edward

AU - Spano, Mark L.

PY - 1991/4/15

Y1 - 1991/4/15

N2 - We investigate experimentally the scaling of the average time tau between intermittent, noise-induced bursts for a chaotic mechanical system near a crisis. The system studied is a periodically driven (frequency f) magnetoelastic ribbon. Theory predicts that for deterministic crises where tau-scales as tau approximately (f-f(c))-gamma (f < f(c), f = f(c) at crisis), the characteristic time between noise-induced bursts (f greater-than-or-equal-to f(c)) should scale as tau approximately sigma-gamma-g((f-f(c))/sigma), where sigma is the noise strength and gamma is the same in both cases. We determine gamma for the low-noise ("deterministic") system, then add noise and observe that the scaling for tau is as predicted.

AB - We investigate experimentally the scaling of the average time tau between intermittent, noise-induced bursts for a chaotic mechanical system near a crisis. The system studied is a periodically driven (frequency f) magnetoelastic ribbon. Theory predicts that for deterministic crises where tau-scales as tau approximately (f-f(c))-gamma (f < f(c), f = f(c) at crisis), the characteristic time between noise-induced bursts (f greater-than-or-equal-to f(c)) should scale as tau approximately sigma-gamma-g((f-f(c))/sigma), where sigma is the noise strength and gamma is the same in both cases. We determine gamma for the low-noise ("deterministic") system, then add noise and observe that the scaling for tau is as predicted.

KW - induced intermittency

KW - chaotic attractors

KW - critical exponent

KW - transient chaos

KW - oscillator

U2 - 10.1103/PhysRevLett.66.1947

DO - 10.1103/PhysRevLett.66.1947

M3 - Article

VL - 66

SP - 1947

EP - 1950

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 15

ER -