Abstract
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.
Original language | English |
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Pages (from-to) | 11-25 |
Number of pages | 15 |
Journal | Physics Reports |
Volume | 290 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - Nov 1997 |
Keywords
- strange nonchaotic attractors
- circle map
- dissipative systems
- chaos
- transition