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Letellier C, Werny P, Malasoma JM, et al. Multichannel intermittencies induced by symmetries. Phys Rev E Stat Nonlin Soft Matter Phys. 2002;66(3):036220doi: 10.1103/PhysRevE.66.036220.
Letellier, C., Werny, P., Malasoma, J. M., & Gilmore, R. (2002). Multichannel intermittencies induced by symmetries. Physical review. E, Statistical, nonlinear, and soft matter physics, 66(3), 036220. https://doi.org/10.1103/PhysRevE.66.036220
Letellier, Christophe, et al. "Multichannel intermittencies induced by symmetries." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 66,3 (2002): 036220. doi: https://doi.org/10.1103/PhysRevE.66.036220
Letellier C, Werny P, Malasoma JM, Gilmore R. Multichannel intermittencies induced by symmetries. Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Sep;66(3):036220. doi: 10.1103/PhysRevE.66.036220. Epub 2002 Sep 27. PMID: 12366237.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Sep;66(3):036220. doi: 10.1103/PhysRevE.66.036220. Epub 2002 Sep 27.

Multichannel intermittencies induced by symmetries.

Physical review. E, Statistical, nonlinear, and soft matter physics

Christophe Letellier, Pierre Werny, Jean-Marc Malasoma, Robert Gilmore

Affiliations

  1. CORIA UMR 6614, Université de Rouen, Avenue de l'Université, Boîte Postale 12, F-76801 Saint-Etienne du Rouvray Cedex, France.

PMID: 12366237 DOI: 10.1103/PhysRevE.66.036220

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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