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Hokkaido University Preprint Series in Mathematics >
SPATIO-TEMPORAL CHAOS IN A DISCRETE TURING MODEL
| 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 |
| Publisher: | Department of Mathematics, Hokkaido University |
| 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
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Submitter: 数学紀要登録作業用
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