Publication: Research - peer-review › Article in proceedings – Annual report year: 2012
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.
|Title of host publication||AIP Conference Proceedings|
|Publisher||American Institute of Physics|
|State||Published - 2012|
|Event||Let's face chaos through nonlinear dynamics - Maribor, Slovenia|
|Conference||Let's face chaos through nonlinear dynamics|
|???event.location???||University of Maribor|
|Period||26/06/2011 → 10/07/2011|
|Name||A I P Conference Proceedings Series|
© 2012 American Institute of Physics
|Citations||Web of Science® Times Cited: No match on DOI|
- Chaotic phase synchronization, Torus-doubling, Multi-layered tori, Nephron autoregulation, Physiology-based modeling
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