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 |
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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