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SPATIO-TEMPORAL CHAOS IN A DISCRETE TURING MODEL

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84079

Title: SPATIO-TEMPORAL CHAOS IN A DISCRETE TURING MODEL
Authors: KANG, HUNSEOK Browse this author
Keywords: Turing Model
Coupled Map Lattices
Traveling Wave
Hyperbolic set
Smale-horseshoe
Spatio-Temporal Chaos
Issue Date: 8-Dec-2008
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 931
Start Page: 1
End Page: 20
Abstract: In this paper, a discrete version of a reaction-diffusion equation, lso known as coupled map lattice (CML), which corresponds to the Tur- ng model of morphogenesis is studied. It is shown that CML possesses a yperbolic property displaying a type of spatio-temporal chaos. Through- ut a mathematical background of hyperbolic properties in lattice dynamical ystems which are related to spatio-temporal chaos, a mathematical proof is iven that the CML obtained from the Turing model possesses such hyperbolic roperties. Finally, numerical studies of this finding in varying parameters to resent a variety of chaotic behaviors of this system is performed.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69739
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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