From multi-layered resonance tori to period-doubled ergodic tori

Publication: Research - peer-reviewJournal article – Annual report year: 2010

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The Letter presents a number of new bifurcation structures that can be observed when a multidimensional period-doubling system is subjected to a periodic forcing. We show how multi-layered tori arise through transverse period-doubling bifurcations of the resonant saddle and node cycles, and how these multi-layered tori transform into period-doubled ergodic tori through sets of saddle-node bifurcations.
Original languageEnglish
JournalPhysics Letters. Section A: General, Atomic and Solid State Physics
Publication date2010
Volume374
Issue25
Pages2534-2538
ISSN0375-9601
DOIs
StatePublished
CitationsWeb of Science® Times Cited: 8

Keywords

  • Transverse period-doubling cascades, Bifurcation structure, Multi-dimensional dynamics, Torus-doubling bifurcations, Multi-layered tori, Forced period-doubling systems
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