The transition to chaotic phase synchronization

Publication: Research - peer-reviewArticle in proceedings – Annual report year: 2012

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The transition to chaotic phase synchronization for a periodically driven spiral-type chaotic oscillator is known to involve a dense set of saddle-node bifurcations. By following the synchronization transition through the cascade of period-doubling bifurcations in a forced Ro¨ssler system, this paper describes how these saddle-node bifurcations arise and how their characteristic cyclic organisation develops. We identify the cycles that are involved in the various saddle-node bifurcations and describe how the formation of multi-layered resonance cycles in the synchronization domain is related to the torus doubling bifurcations that take place outside this domain. By examining a physiology-based model of the blood flow regulation to the individual functional unit (nephron) of the kidney we demonstrate how a similar bifurcation structure may arise in this system as a response to a periodically varying arterial blood pressure. The paper finally discusses how an alternative transition to chaotic phase synchronization may occur in the mutual synchronization of two chaotically oscillating period-doubling systems.
Original languageEnglish
TitleAIP Conference Proceedings
PublisherAmerican Institute of Physics
Publication date2012
Pages276-296
ISBN (print)978-0-7354-1075-6
DOIs
StatePublished

Conference

ConferenceLet's face chaos through nonlinear dynamics
Number8
CountrySlovenia
CityMaribor
Period26/06/1110/07/11
NameAIP Conference Proceedings

Bibliographical note

© 2012 American Institute of Physics

CitationsWeb of Science® Times Cited: 0

Keywords

  • Chaotic phase synchronization, Torus-doubling, Multi-layered tori, Nephron autoregulation, Physiology-based modeling
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