2000/12/11 by A. Venkatesan, M. Lakshmanan, A. Prasad +1 · 1 citation
Physics and Astronomy · #nlin.CD
paper · pdf · doi:10.1103/physreve.61.3641
published as Phys. Rev. E61, 3641-3651 (2000) · 24 pages, RevTeX 4, 12 EPS figures
arxiv created 2000/12/11 · arxiv updated 2009/11/30
Different mechanisms for the creation of strange nonchaotic attractors (SNAs) are studied in a two-frequency parametrically driven Duffing oscillator. We focus on intermittency transitions in particular, and show that SNAs in this system are created through quasiperiodic saddle-node bifurcations (Type-I intermittency) as well as through a quasiperiodic subharmonic bifurcation (Type-III intermittency). The intermittent attractors are characterized via a number of Lyapunov measures including the behavior of the largest nontrivial Lyapunov exponent and its variance as well as through distributions of finite-time Lyapunov exponents. These attractors are ubiquitous in quasiperiodically driven systems; the regions of occurrence of various SNAs are identified in a phase diagram of the Duffing system.