Matches in SemOpenAlex for { <https://semopenalex.org/work/W1991996813> ?p ?o ?g. }
- W1991996813 endingPage "47" @default.
- W1991996813 startingPage "32" @default.
- W1991996813 abstract "This paper applies methods of numerical continuation analysis to document characteristic bifurcation cascades of limit cycles in piecewise-smooth, hybrid-dynamical-system models of the eukaryotic cell cycle, and associated period-adding cascades in piecewise-defined maps with gaps. A general theory is formulated for the occurrence of such cascades, for example given the existence of a period-two orbit with one point on the system discontinuity and with appropriate constraints on the forward trajectory for nearby initial conditions. In this case, it is found that the bifurcation cascade for nearby parameter values exhibits a scaling relationship governed by the largest-in-magnitude Floquet multiplier, here required to be positive and real, in complete agreement with the characteristic scaling observed in the numerical study. A similar cascade is predicted and observed in the case of a saddle–node bifurcation of a period-two orbit, away from the discontinuity, provided that the associated center manifold is found to intersect the discontinuity transversally." @default.
- W1991996813 created "2016-06-24" @default.
- W1991996813 creator A5076745658 @default.
- W1991996813 creator A5090641820 @default.
- W1991996813 date "2014-03-01" @default.
- W1991996813 modified "2023-09-23" @default.
- W1991996813 title "Discontinuity-induced bifurcation cascades in flows and maps with application to models of the yeast cell cycle" @default.
- W1991996813 cites W1711962694 @default.
- W1991996813 cites W1970311793 @default.
- W1991996813 cites W1975631246 @default.
- W1991996813 cites W1979401712 @default.
- W1991996813 cites W1985139231 @default.
- W1991996813 cites W1989653990 @default.
- W1991996813 cites W1992502950 @default.
- W1991996813 cites W1993916167 @default.
- W1991996813 cites W1997218102 @default.
- W1991996813 cites W2002515549 @default.
- W1991996813 cites W2010181515 @default.
- W1991996813 cites W2012295188 @default.
- W1991996813 cites W2019383201 @default.
- W1991996813 cites W2020348172 @default.
- W1991996813 cites W2030072899 @default.
- W1991996813 cites W2043723919 @default.
- W1991996813 cites W2045276064 @default.
- W1991996813 cites W2051723837 @default.
- W1991996813 cites W2058179280 @default.
- W1991996813 cites W2062902686 @default.
- W1991996813 cites W2076972098 @default.
- W1991996813 cites W2103959724 @default.
- W1991996813 cites W2117446133 @default.
- W1991996813 cites W2129260097 @default.
- W1991996813 cites W2136445042 @default.
- W1991996813 cites W2172213445 @default.
- W1991996813 cites W3103427234 @default.
- W1991996813 doi "https://doi.org/10.1016/j.physd.2013.12.011" @default.
- W1991996813 hasPublicationYear "2014" @default.
- W1991996813 type Work @default.
- W1991996813 sameAs 1991996813 @default.
- W1991996813 citedByCount "7" @default.
- W1991996813 countsByYear W19919968132015 @default.
- W1991996813 countsByYear W19919968132017 @default.
- W1991996813 countsByYear W19919968132020 @default.
- W1991996813 countsByYear W19919968132021 @default.
- W1991996813 countsByYear W19919968132022 @default.
- W1991996813 countsByYear W19919968132023 @default.
- W1991996813 crossrefType "journal-article" @default.
- W1991996813 hasAuthorship W1991996813A5076745658 @default.
- W1991996813 hasAuthorship W1991996813A5090641820 @default.
- W1991996813 hasBestOaLocation W19919968132 @default.
- W1991996813 hasConcept C101225446 @default.
- W1991996813 hasConcept C121332964 @default.
- W1991996813 hasConcept C134306372 @default.
- W1991996813 hasConcept C151201525 @default.
- W1991996813 hasConcept C158622935 @default.
- W1991996813 hasConcept C164660894 @default.
- W1991996813 hasConcept C165150564 @default.
- W1991996813 hasConcept C185592680 @default.
- W1991996813 hasConcept C194271172 @default.
- W1991996813 hasConcept C199360897 @default.
- W1991996813 hasConcept C2524010 @default.
- W1991996813 hasConcept C2775978667 @default.
- W1991996813 hasConcept C2777042112 @default.
- W1991996813 hasConcept C2781349735 @default.
- W1991996813 hasConcept C33923547 @default.
- W1991996813 hasConcept C34146451 @default.
- W1991996813 hasConcept C41008148 @default.
- W1991996813 hasConcept C43617362 @default.
- W1991996813 hasConcept C55649039 @default.
- W1991996813 hasConcept C62520636 @default.
- W1991996813 hasConcept C85075877 @default.
- W1991996813 hasConcept C86243350 @default.
- W1991996813 hasConcept C88626702 @default.
- W1991996813 hasConcept C93357160 @default.
- W1991996813 hasConcept C99844830 @default.
- W1991996813 hasConceptScore W1991996813C101225446 @default.
- W1991996813 hasConceptScore W1991996813C121332964 @default.
- W1991996813 hasConceptScore W1991996813C134306372 @default.
- W1991996813 hasConceptScore W1991996813C151201525 @default.
- W1991996813 hasConceptScore W1991996813C158622935 @default.
- W1991996813 hasConceptScore W1991996813C164660894 @default.
- W1991996813 hasConceptScore W1991996813C165150564 @default.
- W1991996813 hasConceptScore W1991996813C185592680 @default.
- W1991996813 hasConceptScore W1991996813C194271172 @default.
- W1991996813 hasConceptScore W1991996813C199360897 @default.
- W1991996813 hasConceptScore W1991996813C2524010 @default.
- W1991996813 hasConceptScore W1991996813C2775978667 @default.
- W1991996813 hasConceptScore W1991996813C2777042112 @default.
- W1991996813 hasConceptScore W1991996813C2781349735 @default.
- W1991996813 hasConceptScore W1991996813C33923547 @default.
- W1991996813 hasConceptScore W1991996813C34146451 @default.
- W1991996813 hasConceptScore W1991996813C41008148 @default.
- W1991996813 hasConceptScore W1991996813C43617362 @default.
- W1991996813 hasConceptScore W1991996813C55649039 @default.
- W1991996813 hasConceptScore W1991996813C62520636 @default.
- W1991996813 hasConceptScore W1991996813C85075877 @default.
- W1991996813 hasConceptScore W1991996813C86243350 @default.
- W1991996813 hasConceptScore W1991996813C88626702 @default.
- W1991996813 hasConceptScore W1991996813C93357160 @default.