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
Xu, B., Lai, Y. C., Zhu, L. Q., Do, Y. H., & Lai, Y-C. (2003). Experimental characterization of transition to chaos in the presence of noise. Physical Review Letters, 90(16), [164101]. https://doi.org/10.1103/PhysRevLett.90.164101