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IJBC
2010

Spatio-Temporal Chaos in a Discrete Turing Model

13 years 6 months ago
Spatio-Temporal Chaos in a Discrete Turing Model
In this paper, a discrete version of a reaction-diffusion equation, also known as coupled map lattice (CML), which corresponds to the Turing model of morphogenesis is studied. It is shown that CML possesses a hyperbolic property displaying a type of spatio-temporal chaos. Throughout a mathematical background of hyperbolic properties in lattice dynamical systems which are related to spatio-temporal chaos, a mathematical proof is given that the CML obtained from the Turing model possesses such hyperbolic properties. Finally, numerical studies of this finding in varying parameters to present a variety of chaotic behaviors of this system is performed.
Hunseok Kang
Added 18 May 2011
Updated 18 May 2011
Type Journal
Year 2010
Where IJBC
Authors Hunseok Kang
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