Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2000-12-11
Phys. Rev. E61, 3641-3651 (2000)
Nonlinear Sciences
Chaotic Dynamics
24 pages, RevTeX 4, 12 EPS figures
Scientific paper
10.1103/PhysRevE.61.3641
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.
Lakshmanan Meenakshi
Prasad Amritanshu
Ramaswamy Ramakrishna
Venkatesan Aparna
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