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Phase-locking in quasiperiodically forced systems
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DOI：10.1016/S0370-1573(97)00055-0.png)
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We study the influence of a quasiperiodic force on the phase-locking structure in the circle map. We show that with increasing forcing the phase-locking regions change their shape from a tongue with monotonically increasing width to the shape of a leaf where the width first grows and then shrinks to values close to zero. The change in the shape is accompanied by a change of the bifurcation type along the boundary curves of the phase-locking regions. For small forcing there is a transition from two-to three-frequency motion, but for larger forcing the transition is from mio-frequency quasiperiodicity to a strange nonchaotic attractor.
Keyword:
STRANGE NONCHAOTIC ATTRACTORS
CIRCLE MAP
DISSIPATIVE SYSTEMS
CHAOS
TRANSITION
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被引数:
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