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 |
|---|---|
| Article number | 164101 |
| Number of pages | 4 |
| Journal | Physical Review Letters |
| Volume | 90 |
| Issue number | 16 |
| DOIs | |
| Publication status | Published - 23 Apr 2003 |
Keywords
- random dynamical-systems
- induce chaos
- fluctuations
- dimensions
- saddles
- orbits
- laser
- onset
- model
- zero
Cite this
Experimental characterization of transition to chaos in the presence of noise. / Xu, B ; Lai, Y C ; Zhu, L Q ; Do, Y H ; Lai, Ying-Cheng.
In: Physical Review Letters, Vol. 90, No. 16, 164101, 23.04.2003.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Experimental characterization of transition to chaos in the presence of noise
AU - Xu, B
AU - Lai, Y C
AU - Zhu, L Q
AU - Do, Y H
AU - Lai, Ying-Cheng
PY - 2003/4/23
Y1 - 2003/4/23
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.
KW - random dynamical-systems
KW - induce chaos
KW - fluctuations
KW - dimensions
KW - saddles
KW - orbits
KW - laser
KW - onset
KW - model
KW - zero
U2 - 10.1103/PhysRevLett.90.164101
DO - 10.1103/PhysRevLett.90.164101
M3 - Article
VL - 90
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 16
M1 - 164101
ER -