Matches in SemOpenAlex for { <https://semopenalex.org/work/W2001501082> ?p ?o ?g. }
- W2001501082 abstract "It has been shown recently that torus formation in piecewise-smooth maps can occur through a special type of border collision bifurcation in which a pair of complex conjugate Floquet multipliers jump from the inside to the outside of the unit circle. It has also been shown that a large class of impacting mechanical systems yield piecewise-smooth maps with square-root singularity. In this Letter we investigate the dynamics of a two-dimensional piecewise-smooth map with square-root type nonlinearity, and describe two new routes to chaos through the destruction of two-frequency torus. In the first scenario, we identify the transition to chaos through the destruction of a loop torus via homoclinic bifurcation. In the other scenario, a change of structure in the torus occurs via heteroclinic saddle connections. Further parameter changes lead to a homoclinic bifurcation resulting in the creation of a chaotic attractor. However, this scenario is much more complex, with the appearance of a sequence of heteroclinic and homoclinic bifurcations." @default.
- W2001501082 created "2016-06-24" @default.
- W2001501082 creator A5009196756 @default.
- W2001501082 creator A5064908609 @default.
- W2001501082 creator A5066175720 @default.
- W2001501082 creator A5074868206 @default.
- W2001501082 date "2009-12-01" @default.
- W2001501082 modified "2023-09-27" @default.
- W2001501082 title "Torus destruction via global bifurcations in a piecewise-smooth, continuous map with square-root nonlinearity" @default.
- W2001501082 cites W1514578360 @default.
- W2001501082 cites W1597461812 @default.
- W2001501082 cites W1620079676 @default.
- W2001501082 cites W1976052480 @default.
- W2001501082 cites W1979051148 @default.
- W2001501082 cites W1988037432 @default.
- W2001501082 cites W2000760833 @default.
- W2001501082 cites W2006209881 @default.
- W2001501082 cites W2011227277 @default.
- W2001501082 cites W2018118311 @default.
- W2001501082 cites W2024819864 @default.
- W2001501082 cites W2030137516 @default.
- W2001501082 cites W2031604902 @default.
- W2001501082 cites W2032713764 @default.
- W2001501082 cites W2040286041 @default.
- W2001501082 cites W2051578053 @default.
- W2001501082 cites W2061194688 @default.
- W2001501082 cites W2065198486 @default.
- W2001501082 cites W2074056724 @default.
- W2001501082 cites W2094656677 @default.
- W2001501082 cites W2104567319 @default.
- W2001501082 cites W2118395206 @default.
- W2001501082 cites W2148764917 @default.
- W2001501082 cites W2159251357 @default.
- W2001501082 cites W2167893833 @default.
- W2001501082 cites W2476303612 @default.
- W2001501082 cites W571130116 @default.
- W2001501082 cites W607491616 @default.
- W2001501082 cites W61218997 @default.
- W2001501082 cites W658567699 @default.
- W2001501082 doi "https://doi.org/10.1016/j.physleta.2009.09.073" @default.
- W2001501082 hasPublicationYear "2009" @default.
- W2001501082 type Work @default.
- W2001501082 sameAs 2001501082 @default.
- W2001501082 citedByCount "5" @default.
- W2001501082 countsByYear W20015010822012 @default.
- W2001501082 countsByYear W20015010822016 @default.
- W2001501082 crossrefType "journal-article" @default.
- W2001501082 hasAuthorship W2001501082A5009196756 @default.
- W2001501082 hasAuthorship W2001501082A5064908609 @default.
- W2001501082 hasAuthorship W2001501082A5066175720 @default.
- W2001501082 hasAuthorship W2001501082A5074868206 @default.
- W2001501082 hasConcept C101225446 @default.
- W2001501082 hasConcept C121332964 @default.
- W2001501082 hasConcept C126255220 @default.
- W2001501082 hasConcept C134306372 @default.
- W2001501082 hasConcept C142115181 @default.
- W2001501082 hasConcept C154945302 @default.
- W2001501082 hasConcept C155405617 @default.
- W2001501082 hasConcept C158622935 @default.
- W2001501082 hasConcept C164380108 @default.
- W2001501082 hasConcept C164660894 @default.
- W2001501082 hasConcept C200581526 @default.
- W2001501082 hasConcept C2524010 @default.
- W2001501082 hasConcept C2777052490 @default.
- W2001501082 hasConcept C2777127463 @default.
- W2001501082 hasConcept C2781349735 @default.
- W2001501082 hasConcept C33923547 @default.
- W2001501082 hasConcept C41008148 @default.
- W2001501082 hasConcept C62520636 @default.
- W2001501082 hasConcept C73888704 @default.
- W2001501082 hasConcept C9767117 @default.
- W2001501082 hasConceptScore W2001501082C101225446 @default.
- W2001501082 hasConceptScore W2001501082C121332964 @default.
- W2001501082 hasConceptScore W2001501082C126255220 @default.
- W2001501082 hasConceptScore W2001501082C134306372 @default.
- W2001501082 hasConceptScore W2001501082C142115181 @default.
- W2001501082 hasConceptScore W2001501082C154945302 @default.
- W2001501082 hasConceptScore W2001501082C155405617 @default.
- W2001501082 hasConceptScore W2001501082C158622935 @default.
- W2001501082 hasConceptScore W2001501082C164380108 @default.
- W2001501082 hasConceptScore W2001501082C164660894 @default.
- W2001501082 hasConceptScore W2001501082C200581526 @default.
- W2001501082 hasConceptScore W2001501082C2524010 @default.
- W2001501082 hasConceptScore W2001501082C2777052490 @default.
- W2001501082 hasConceptScore W2001501082C2777127463 @default.
- W2001501082 hasConceptScore W2001501082C2781349735 @default.
- W2001501082 hasConceptScore W2001501082C33923547 @default.
- W2001501082 hasConceptScore W2001501082C41008148 @default.
- W2001501082 hasConceptScore W2001501082C62520636 @default.
- W2001501082 hasConceptScore W2001501082C73888704 @default.
- W2001501082 hasConceptScore W2001501082C9767117 @default.
- W2001501082 hasLocation W20015010821 @default.
- W2001501082 hasOpenAccess W2001501082 @default.
- W2001501082 hasPrimaryLocation W20015010821 @default.
- W2001501082 hasRelatedWork W2024819864 @default.
- W2001501082 hasRelatedWork W2028315085 @default.
- W2001501082 hasRelatedWork W2041628716 @default.
- W2001501082 hasRelatedWork W2050569367 @default.
- W2001501082 hasRelatedWork W2060651243 @default.
- W2001501082 hasRelatedWork W2061194688 @default.