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Prog. Theor. Phys. Supplement No.161 (2006) pp. 119-126

[ Full Text PDF : FREE ACCESS (208K) ]

Turing Instability Leads Oscillatory Systems to Spatiotemporal Chaos

Dan Tanaka*

Department of Human and Artificial Intelligent Systems (HART),
Faculty of Engineering, Fukui University, Fukui 910-8507, Japan

(Received April 17, 2005)

Abstract:

We present that Turing instability can lead oscillatory reaction-diffusion (RD) systems to spatiotemporal chaos instead of spatially periodic steady states. Similar onset of spatiotemporal chaos was discovered in an equation describing seismic waves. We demonstrate that the seismic equation can be derived from a certain class of oscillatory RD systems in the neighborhood of a codimension-two Turing–Benjamin-Feir point. Also, we show numerical studies of reduced equations and discuss robustness of this spatiotemporal chaos.


URL : http://ptp.ipap.jp/link?PTPS/161/119/
DOI : 10.1143/PTPS.161.119


*E-mail: d051860@icpc00.icpc.fukui-u.ac.jp

[ Full Text PDF : FREE ACCESS (208K) ] Citation:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 79 (2010) 124004 (4 pages) :
    Modal and Total Power Spectra of Nikolaevskii Turbulence
    Dan Tanaka and Makoto Okamura

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