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

Arizona State University

Research output: Contribution to journal › Article › peer-review

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
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

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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 Lai, \{Ying Cheng\} and Liqiang Zhu and Younghae Do",

year = "2003",

doi = "10.1103/PhysRevLett.90.164101",

language = "English",

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journal = "Physical Review Letters",

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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.

UR - https://www.scopus.com/pages/publications/84958157393

U2 - 10.1103/PhysRevLett.90.164101

DO - 10.1103/PhysRevLett.90.164101

M3 - Article

AN - SCOPUS:84958157393

SN - 0031-9007

VL - 90

SP - 4

JO - Physical Review Letters

JF - Physical Review Letters

IS - 16

ER -

Experimental Characterization of Transition to Chaos in the Presence of Noise

Abstract

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