Infinite-tori intermittency routes to strange nonchaotic attractors in a quasiperiodically forced piecewise-smooth system

Yunzhu Shen, Miao Yu and Yongxiang Zhang

Chaos, Solitons & Fractals, 2025, vol. 201, issue P2

Abstract: Quasiperiodically forced piecewise-smooth systems exhibit distinct routes to strange nonchaotic attractors (SNAs) through torus intermittency. This study reveals a novel infinite-tori intermittency route to SNA in a quasiperiodically forced piecewise-smooth linear system. Infinite n-frequency quasiperiodic tori transform into intermittent SNAs via an inverse period-adding bifurcation. The fractal structure of the attractor is verified through phase-space analysis, while its nonchaotic nature is identified by the largest Lyapunov exponent. Furthermore, we characterize the SNA using phase-sensitive exponents, recurrence plot topology and the distribution of finite-time Lyapunov exponents. In contrast to previously reported intermittent routes to SNAs, the distribution of finite-time Lyapunov exponents in this route exhibits a characteristic multi-peak distribution with zero-value. This work establishes infinite-tori-intermittency-induced SNA formation as a universal mechanism in quasiperiodically forced piecewise-smooth linear systems.

Keywords: Piecewise-smooth system; Fractal; Strange nonchaotic attractor; Period-adding bifurcation (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:201:y:2025:i:p2:s0960077925013190

DOI: 10.1016/j.chaos.2025.117306

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