Experimental Characterization of Transition to Chaos in the Presence of Noise

Bin Xu; Ying-Cheng Lai; Liqiang Zhu; Younghae Do

doi:10.1103/PhysRevLett.90.164101

Experimental Characterization of Transition to Chaos in the Presence of Noise

Bin Xu, Ying-Cheng Lai, Liqiang Zhu, Younghae Do

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2 Scopus citations

Abstract

Transition to chaos in the presence of noise is an important problem in nonlinear and statistical physics. Recently, a scaling law has been theoretically predicted which relates the Lyapunov exponent to the noise variation near the transition. Here we present experimental observation of noise-induced chaos in an electronic circuit and obtain the fundamental scaling law characterizing the transition. The experimentally obtained scaling exponent agrees very well with that predicted by theory.

Original language	English (US)
Pages (from-to)	4
Number of pages	1
Journal	Physical Review Letters
Volume	90
Issue number	16
DOIs	https://doi.org/10.1103/PhysRevLett.90.164101
State	Published - 2003

ASJC Scopus subject areas

General Physics and Astronomy

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10.1103/PhysRevLett.90.164101

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title = "Experimental Characterization of Transition to Chaos in the Presence of Noise",

abstract = "Transition to chaos in the presence of noise is an important problem in nonlinear and statistical physics. Recently, a scaling law has been theoretically predicted which relates the Lyapunov exponent to the noise variation near the transition. Here we present experimental observation of noise-induced chaos in an electronic circuit and obtain the fundamental scaling law characterizing the transition. The experimentally obtained scaling exponent agrees very well with that predicted by theory.",

author = "Bin Xu and Ying-Cheng Lai and Liqiang Zhu and Younghae Do",

year = "2003",

doi = "10.1103/PhysRevLett.90.164101",

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T1 - Experimental Characterization of Transition to Chaos in the Presence of Noise

AU - Xu, Bin

AU - Lai, Ying-Cheng

AU - Zhu, Liqiang

AU - Do, Younghae

PY - 2003

Y1 - 2003

N2 - Transition to chaos in the presence of noise is an important problem in nonlinear and statistical physics. Recently, a scaling law has been theoretically predicted which relates the Lyapunov exponent to the noise variation near the transition. Here we present experimental observation of noise-induced chaos in an electronic circuit and obtain the fundamental scaling law characterizing the transition. The experimentally obtained scaling exponent agrees very well with that predicted by theory.

AB - Transition to chaos in the presence of noise is an important problem in nonlinear and statistical physics. Recently, a scaling law has been theoretically predicted which relates the Lyapunov exponent to the noise variation near the transition. Here we present experimental observation of noise-induced chaos in an electronic circuit and obtain the fundamental scaling law characterizing the transition. The experimentally obtained scaling exponent agrees very well with that predicted by theory.

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U2 - 10.1103/PhysRevLett.90.164101

DO - 10.1103/PhysRevLett.90.164101

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VL - 90

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JO - Physical Review Letters

JF - Physical Review Letters

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Experimental Characterization of Transition to Chaos in the Presence of Noise

Abstract

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