Spatio-temporal intermittency in a 1D convective pattern: Theoretical model and experiments

F. Daviaud; J. Lega; P. Bergé; P. Coullet; M. Dubois

doi:10.1016/0167-2789(92)90061-Q

Spatio-temporal intermittency in a 1D convective pattern: Theoretical model and experiments

F. Daviaud, J. Lega, P. Bergé, P. Coullet, M. Dubois

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

42 Scopus citations

Abstract

We describe the occurence of spatio-temporal intermittency in a one-dimensional convective system that first shows time-dependent patterns. We recall experimental results and propose a model based on the normal form description of a secondary Hopf bifurcation of a stationary periodic structure. Numerical simulations of this model show spatio-temporal intermittent behaviors, which we characterize briefly and compare to those given by the experiment.

Original language	English (US)
Pages (from-to)	287-308
Number of pages	22
Journal	Physica D: Nonlinear Phenomena
Volume	55
Issue number	3-4
DOIs	https://doi.org/10.1016/0167-2789(92)90061-Q
State	Published - Mar 1992

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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title = "Spatio-temporal intermittency in a 1D convective pattern: Theoretical model and experiments",

abstract = "We describe the occurence of spatio-temporal intermittency in a one-dimensional convective system that first shows time-dependent patterns. We recall experimental results and propose a model based on the normal form description of a secondary Hopf bifurcation of a stationary periodic structure. Numerical simulations of this model show spatio-temporal intermittent behaviors, which we characterize briefly and compare to those given by the experiment.",

author = "F. Daviaud and J. Lega and P. Berg{\'e} and P. Coullet and M. Dubois",

note = "Funding Information: We are gratefult o H. Chat&,S . Fauve,P . Manneville,T . Passota nd Y. Pomeauf or fruitful discussions. We acknowledget he EEC twinningp roject Spatio-temporacl haosi n extendeds ystems(N o. SCl-0035-C (CD)) for financial support. Two of us (P.C. and J.L.) wish to acknowledget he Arizona Center for MathematicalS ciences( ACMS) for support.A CMS is sponsoredb y AFOSR contract FQ8671-9000589",

year = "1992",

month = mar,

doi = "10.1016/0167-2789(92)90061-Q",

language = "English (US)",

volume = "55",

pages = "287--308",

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T1 - Spatio-temporal intermittency in a 1D convective pattern

T2 - Theoretical model and experiments

AU - Daviaud, F.

AU - Lega, J.

AU - Bergé, P.

AU - Coullet, P.

AU - Dubois, M.

N1 - Funding Information: We are gratefult o H. Chat&,S . Fauve,P . Manneville,T . Passota nd Y. Pomeauf or fruitful discussions. We acknowledget he EEC twinningp roject Spatio-temporacl haosi n extendeds ystems(N o. SCl-0035-C (CD)) for financial support. Two of us (P.C. and J.L.) wish to acknowledget he Arizona Center for MathematicalS ciences( ACMS) for support.A CMS is sponsoredb y AFOSR contract FQ8671-9000589

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Y1 - 1992/3

N2 - We describe the occurence of spatio-temporal intermittency in a one-dimensional convective system that first shows time-dependent patterns. We recall experimental results and propose a model based on the normal form description of a secondary Hopf bifurcation of a stationary periodic structure. Numerical simulations of this model show spatio-temporal intermittent behaviors, which we characterize briefly and compare to those given by the experiment.

AB - We describe the occurence of spatio-temporal intermittency in a one-dimensional convective system that first shows time-dependent patterns. We recall experimental results and propose a model based on the normal form description of a secondary Hopf bifurcation of a stationary periodic structure. Numerical simulations of this model show spatio-temporal intermittent behaviors, which we characterize briefly and compare to those given by the experiment.

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ER -

Spatio-temporal intermittency in a 1D convective pattern: Theoretical model and experiments

Abstract

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