Intermittency and strange nonchaotic attractors in quasi-periodically forced circle maps |
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| Institution: | 1. School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, PR China;2. Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, Southwest Jiaotong University, Chengdu, Sichuan 610031, PR China;3. Institute for Complex Systems and Mathematical Biology King’s College, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom;1. School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, PR China;2. Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, Southwest Jiaotong University, Chengdu, Sichuan 610031, PR China;3. Institute for Complex Systems and Mathematical Biology King''s College, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom |
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| Abstract: | A possible mechanism for the creation of strange nonchaotic attractors close to the boundary of mode-locked tongues in a family of maps of the torus is described. This mechanism is based on the numerical observation that there are parameter values on the boundary of the mode-locked tongues at which the saddlenode bifurcation of invariant curves is not smooth, and assumptions about the nature of intermittency just outside the mode-locked tongues. |
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