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物理学报  2006 

Study of complex behavior in a time-delayed van der Pol''''s electromagnetic system ( Ⅱ )——Pattern dynamics in spatiotemporal chaos
一种时延范德波尔电磁系统中的复杂行为(Ⅱ)——时空混沌图案动态

Keywords: pattern,spatiotemporal chaos,infinite dimensional system,time-delayed van der Pol's electromagnetic system
图案
,时空混沌,无穷维系统,时延范德波尔电磁系统

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Abstract:

Based on a simple infinite dimensional electromagnetic system consisting of a linear lossless transmission line in combination with a nonlinear boundary condition, the local map of backward voltage wave is established by using the traveling wave theory. The numerical simulation results show rich spatiotemporal nonlinear phenomena in the voltage wave on the lossless transmission line. The pattern dynamics in spatiotemporal chaos of the voltage wave on the lossless transmission line are qualitatively analyzed by depicting space-amplitude plot and space-time diagram. A good model with solution is established to study and understand the spatiotemporal chaos.

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