Mechanism for the intermittent route to strange nonchaotic attractors

2003/05/07 by Sang-Yoon Kim, Woochang Lim, Edward Ott · 1 citation
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems

paper · doi:10.1103/physreve.67.056203

openalex publication_date 2003/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

Intermittent strange nonchaotic attractors (SNAs) appear typically in quasiperiodically forced period-doubling systems. As a representative model, we consider the quasiperiodically forced logistic map and investigate the mechanism for the intermittent route to SNAs using rational approximations to the quasiperiodic forcing. It is found that a smooth torus transforms into an intermittent SNA via a phase-dependent saddle-node bifurcation when it collides with a new type of "ring-shaped" unstable set.

Citations

• Fractalization of a torus as a strange nonchaotic attractor
• Strange nonchaotic attractors in the quasiperiodically forced logistic map

Cited by

• Weird quasiperiodic attractors and strange nonchaotic attractors in two-dimensional discontinuous maps

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