Observation of a Pomeau-Manneville intermittent route to chaos in a nonlinear oscillator
Abstract
For a driven nonlinear semiconductor oscillator which shows a period-doubling pitchfork bifurcation route to chaos, we report an additional route to chaos: the Pomeau-Manneville intermittency route, characterized by a periodic (laminar) phase interrupted by bursts of aperiodic behavior. This occurs near a tangent bifurcation as the system driving parameter is reduced by ɛ from the threshold value for a periodic window. Data are presented for the dependence of the average laminar length <l> on ɛ, and also on additive random noise voltage. The results are in reasonable agreement with the intermittency theory of Hirsch, Huberman, and Scalapino. The distribution P(l) is also reported.
- Publication:
-
Physical Review A
- Pub Date:
- October 1982
- DOI:
- 10.1103/PhysRevA.26.2117
- Bibcode:
- 1982PhRvA..26.2117J