Characterization of spatiotemporal chaos in an inhomogeneous active medium

We study a reaction diffusion system of the activator-inhibitor type with inhomogeneous reaction terms showing spatiotemporal chaos. We analyze the topological properties of the unstable periodic orbits in the slow chaotic dynamics appearing, which can be embedded in three dimensions. We perform a b...

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Publicado: 2004
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01672789_v199_n1-2_p185_Bouzat
http://hdl.handle.net/20.500.12110/paper_01672789_v199_n1-2_p185_Bouzat
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spelling paper:paper_01672789_v199_n1-2_p185_Bouzat2023-06-08T15:16:17Z Characterization of spatiotemporal chaos in an inhomogeneous active medium Active media Bi-orthogonal decomposition Spatiotemporal chaos Computational methods Degrees of freedom (mechanics) Diffusion Networks (circuits) Runge Kutta methods Topology Active media Bi-orthogonal decomposition Chaotic dynamics Spatiotemporal chaos Chaos theory We study a reaction diffusion system of the activator-inhibitor type with inhomogeneous reaction terms showing spatiotemporal chaos. We analyze the topological properties of the unstable periodic orbits in the slow chaotic dynamics appearing, which can be embedded in three dimensions. We perform a bi-orthogonal decomposition analyzing the minimum number of modes necessary to find the same organization of unstable orbits. © 2004 Elsevier B. V. All rights reserved. 2004 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01672789_v199_n1-2_p185_Bouzat http://hdl.handle.net/20.500.12110/paper_01672789_v199_n1-2_p185_Bouzat
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Active media
Bi-orthogonal decomposition
Spatiotemporal chaos
Computational methods
Degrees of freedom (mechanics)
Diffusion
Networks (circuits)
Runge Kutta methods
Topology
Active media
Bi-orthogonal decomposition
Chaotic dynamics
Spatiotemporal chaos
Chaos theory
spellingShingle Active media
Bi-orthogonal decomposition
Spatiotemporal chaos
Computational methods
Degrees of freedom (mechanics)
Diffusion
Networks (circuits)
Runge Kutta methods
Topology
Active media
Bi-orthogonal decomposition
Chaotic dynamics
Spatiotemporal chaos
Chaos theory
Characterization of spatiotemporal chaos in an inhomogeneous active medium
topic_facet Active media
Bi-orthogonal decomposition
Spatiotemporal chaos
Computational methods
Degrees of freedom (mechanics)
Diffusion
Networks (circuits)
Runge Kutta methods
Topology
Active media
Bi-orthogonal decomposition
Chaotic dynamics
Spatiotemporal chaos
Chaos theory
description We study a reaction diffusion system of the activator-inhibitor type with inhomogeneous reaction terms showing spatiotemporal chaos. We analyze the topological properties of the unstable periodic orbits in the slow chaotic dynamics appearing, which can be embedded in three dimensions. We perform a bi-orthogonal decomposition analyzing the minimum number of modes necessary to find the same organization of unstable orbits. © 2004 Elsevier B. V. All rights reserved.
title Characterization of spatiotemporal chaos in an inhomogeneous active medium
title_short Characterization of spatiotemporal chaos in an inhomogeneous active medium
title_full Characterization of spatiotemporal chaos in an inhomogeneous active medium
title_fullStr Characterization of spatiotemporal chaos in an inhomogeneous active medium
title_full_unstemmed Characterization of spatiotemporal chaos in an inhomogeneous active medium
title_sort characterization of spatiotemporal chaos in an inhomogeneous active medium
publishDate 2004
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01672789_v199_n1-2_p185_Bouzat
http://hdl.handle.net/20.500.12110/paper_01672789_v199_n1-2_p185_Bouzat
_version_ 1768542454961668096