Characterization of the dynamics of coupled Hénon map lattices

José M. Sausedo-Solorio; María Teresa  Méndez-Bautista

doi:10.29057/icbi.v10iEspecial2.8610

José M. Sausedo-Solorio Universidad Autónoma del Estado de Hidalgo https://orcid.org/0000-0003-4532-7675
María Teresa Méndez-Bautista Universidad Autónoma del Estado de Hidalgo https://orcid.org/0000-0002-0369-6598

DOI: https://doi.org/10.29057/icbi.v10iEspecial2.8610

Keywords: Hénon map, Coupled Map Lattices, Diffusive coupling, dynamics characterization.

Abstract

A method was analyzed to characterize spatially extended non-linear dynamic systems that exhibit both periodic and chaotic spatio-temporal behavior. The system is a two-dimensional square lattice of coupled Hénon maps (CHML) that interact with nearest neighbors through diffusive coupling. Focusing on just one of the maps of the lattice (network) and on one of its dynamic variables, this method is compared against two other forms of characterization of the dynamic behavior of the network. It is shown that the sampling of a single map provides more consistent and effective results than the other two methods.

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Author Biography

María Teresa Méndez-Bautista, Universidad Autónoma del Estado de Hidalgo

Egresada de la Licenciatura en Química de la UAEH (1999) y de la Maestría en Tecnología de Polímeros del Centro de Investigación en Química Aplicada (2006), Saltillo, Coahuila.

Actualmente, maestra en el Área Académica de Ciencias de la Tierra y Materiales, trabajando en polímeros e impartiendo las asignaturas de Procesamiento de Materiales Poliméricos y Seminario de Investigación.

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