Observation of a Pomeau-Manneville intermittent route to chaos in a nonlinear oscillator
- 1 October 1982
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 26 (4) , 2117-2122
- https://doi.org/10.1103/physreva.26.2117
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 from the threshold value for a periodic window. Data are presented for the dependence of the average laminar length on , and also on additive random noise voltage. The results are in reasonable agreement with the intermittency theory of Hirsch, Huberman, and Scalapino. The distribution is also reported.
Keywords
This publication has 13 references indexed in Scilit:
- Exact Solutions to the Feigenbaum Renormalization-Group Equations for IntermittencyPhysical Review Letters, 1982
- Intermittency in the presence of noise: A renormalization group formulationPhysics Letters A, 1982
- Theory of intermittencyPhysical Review A, 1982
- Intermittency in the presence of noiseJournal of Physics A: General Physics, 1981
- Roads to turbulence in dissipative dynamical systemsReviews of Modern Physics, 1981
- Intermittent transition to turbulence in dissipative dynamical systemsCommunications in Mathematical Physics, 1980
- Intermittency and the Lorenz modelPhysics Letters A, 1979
- Quantitative universality for a class of nonlinear transformationsJournal of Statistical Physics, 1978
- Invariant Distributions and Stationary Correlation Functions of One-Dimensional Discrete ProcessesZeitschrift für Naturforschung A, 1977
- Simple mathematical models with very complicated dynamicsNature, 1976