Experimental characterization of transition to chaos in the presence of noise.
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.
Xu
Bin
B
Department of Electrical Engineering, Center for Systems Science and Engineering Research, Arizona State University, Tempe, Arizona 85287, USA.
Lai
Ying-Cheng
YC
Zhu
Liqiang
L
Do
Younghae
Y