Homoclinic snaking of localized patterns in a spatially forced system

F. Haudin; R. G. Rojas; U. Bortolozzo; S. Residori; M. G. Clerc

doi:10.1103/PhysRevLett.107.264101

Homoclinic snaking of localized patterns in a spatially forced system

F. Haudin, R. G. Rojas, U. Bortolozzo, S. Residori, M. G. Clerc

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

Dissipative localized structures exhibit intricate bifurcation diagrams. An adequate theory has been developed in one space dimension; however, discrepancies arise with the experiments. Based on an optical feedback with spatially modulated input beam, we set up a 1D forced configuration in a nematic liquid crystal layer. We characterize experimentally and theoretically the homoclinic snaking diagram of localized patterns, providing a reconciliation between theory and experiments.

Original language	English
Article number	264101
Journal	Physical Review Letters
Volume	107
Issue number	26
DOIs	https://doi.org/10.1103/PhysRevLett.107.264101
State	Published - 22 Dec 2011
Externally published	Yes

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10.1103/PhysRevLett.107.264101

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abstract = "Dissipative localized structures exhibit intricate bifurcation diagrams. An adequate theory has been developed in one space dimension; however, discrepancies arise with the experiments. Based on an optical feedback with spatially modulated input beam, we set up a 1D forced configuration in a nematic liquid crystal layer. We characterize experimentally and theoretically the homoclinic snaking diagram of localized patterns, providing a reconciliation between theory and experiments.",

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AU - Residori, S.

AU - Clerc, M. G.

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AB - Dissipative localized structures exhibit intricate bifurcation diagrams. An adequate theory has been developed in one space dimension; however, discrepancies arise with the experiments. Based on an optical feedback with spatially modulated input beam, we set up a 1D forced configuration in a nematic liquid crystal layer. We characterize experimentally and theoretically the homoclinic snaking diagram of localized patterns, providing a reconciliation between theory and experiments.

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Homoclinic snaking of localized patterns in a spatially forced system

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