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Matches in SemOpenAlex for { <https://semopenalex.org/work/W2006209881> ?p ?o ?g. }

• W2006209881 abstract "Recent work has shown that torus formation in piecewise-smooth maps can take place through a special type of border-collision bifurcation in which a pair of complex conjugate multipliers for a stable cycle abruptly jump out of the unit circle. Transitions from an ergodic to a resonant torus take place via border-collision fold bifurcations. We examine the transition to chaos through torus destruction in such maps. Considering a piecewise-linear normal-form map we show that this transition, by virtue of the interplay of border-collision bifurcations with period-doubling and homoclinic bifurcations, can involve mechanisms that differ qualitatively from those described by Afraimovich and Shilnikov." @default.
• W2006209881 created "2016-06-24" @default.
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• W2006209881 date "2008-02-11" @default.
• W2006209881 modified "2023-10-01" @default.
• W2006209881 title "Transitions from phase-locked dynamics to chaos in a piecewise-linear map" @default.
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• W2006209881 doi "https://doi.org/10.1103/physreve.77.026206" @default.
• W2006209881 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/18352102" @default.
• W2006209881 hasPublicationYear "2008" @default.
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