1982/10/01 by C. D. Jeffries, José María Herrera Pérez · 1 citation
Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Chaos control and synchronization #stochastic dynamics and bifurcation
paper · doi:10.1103/physreva.26.2117
openalex publication_date 1982/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 \ensuremathε from the threshold value for a periodic window. Data are presented for the dependence of the average laminar length 〈l〉 on \ensuremathε, 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.