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SPATIO-TEMPORAL CHAOS IN A DISCRETE TURING MODEL
| Content Provider | CiteSeerX |
|---|---|
| Author | Kang, Hunseok |
| Abstract | Abstract. In this paper, a discrete version of a reaction-diffusion equation, also known as coupled map lattice (CML), which corresponds to the Tur-ing model of morphogenesis is studied. It is shown that CML possesses a hyperbolic property displaying a type of spatio-temporal chaos. Through-out 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. 1. |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Spatio-temporal Chaos Discrete Turing Model Spatio-temporal Chaos Hyperbolic Property Tur-ing Model Coupled Map Lattice Discrete Version Numerical Study Mathematical Background Turing Model Posse Hyperbolic Property Reaction-diffusion Equation Lattice Dynamical System Chaotic Behavior Mathematical Proof |
| Content Type | Text |
| Resource Type | Article |
