Abstract

Intermittent strange nonchaotic attractors (SNAs) appear typically in quasiperiodically forced systems. As a basic model, we consider the quasiperiodically forced Henon map and investigate the mechanism for the intermittent transition to SNAs. Using rational approximations to the quasiperiodic forcing, it is shown that dynamical transition to an intermittent SNA occurs via a phase-dependent saddle-node bifurcation when a smooth torus collides with a new kind of invariant “ring-shaped” unstable set.

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