Phase-locking in quasiperiodically forced systems

U Feudel, C Grebogi, E Ott

Research output: Contribution to journalArticlepeer-review

34 Citations (Scopus)


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 languageEnglish
Pages (from-to)11-25
Number of pages15
JournalPhysics Reports
Issue number1-2
Publication statusPublished - Nov 1997


  • strange nonchaotic attractors
  • circle map
  • dissipative systems
  • chaos
  • transition


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