Journal article
Multichannel intermittencies induced by symmetries
Physical review. E, Statistical, nonlinear, and soft matter physics, v 66(3 Pt 2A), pp 036220-036220
01 Sep 2002
PMID: 12366237
Abstract
Type-I intermittencies are common phenomena that are often observed in the neighborhood of periodic windows when a control parameter is varied. These intermittencies usually have a single reinjection channel, that is, a single type of laminar phase was observed. Recently, type-I intermittencies with two reinjection channels were reported in several systems. In this paper, it will be shown that type-I intermittencies with n channels of reinjection are associated with the coexistence of n stable periodic orbits that are mapped into each other under a symmetry. A procedure to build type-I intermittency with n reinjection channels using the n-fold cover of an image system is presented. Cases up to n=3 are explicitly given with the covers of the centered Rössler system.
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Details
- Title
- Multichannel intermittencies induced by symmetries
- Creators
- Christophe Letellier - University of RouenPierre Werny - French National Centre for Scientific ResearchJean-Marc Malasoma - French National Centre for Scientific ResearchRobert Gilmore - Drexel University
- Publication Details
- Physical review. E, Statistical, nonlinear, and soft matter physics, v 66(3 Pt 2A), pp 036220-036220
- Publisher
- Cold Spring Harbor Press
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:000178624100069
- Scopus ID
- 2-s2.0-41349120892
- Other Identifier
- 991019167848004721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Physics, Fluids & Plasmas
- Physics, Mathematical