Turing instability leads oscillatory systems to spatiotemporal chaos(2) Equilibrium and nonequilibrium statistical mechanics in systems showing chaos and quantum chaos, Chaos and Nonlinear Dynamics in Quantum-Mechanical and Macroscopic Systems)
Turing instability leads oscillatory systems to spatiotemporal chaos(2) Equilibrium and nonequilibrium statistical mechanics in systems showing chaos and quantum chaos, Chaos and Nonlinear Dynamics in Quantum-Mechanical and Macroscopic Systems)
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图灵不稳定性导致振荡系统陷入时空混沌(2) 显示混沌和量子混沌的系统中的平衡和非平衡统计力学、量子力学和宏观系统中的混沌和非线性动力学)
DOI：
10.1143/ptps.161.119
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
Dan Tanaka
中科院分区：
文献类型：
--
作者：
Dan Tanaka
我们提出图灵不稳定性会导致振荡反应扩散(RD)系统进入时空混沌而不是空间周期稳态。在一个描述地震波的方程中也发现了类似的时空混沌。我们证明了地震方程可以从一类余维为2的图灵-本杰明-费尔点附近的一类振动RD系统中得到。同时，我们给出了约化方程的数值研究，并讨论了这种时空混沌的稳健性。
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.