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Pattern emergence in strange attractors by directions of mappings
Kumano, T.; Ueta, T.; Kawakami, H.;
Circuits and Systems, 2006. ISCAS 2006. Proceedings. 2006 IEEE International Symposium on
21-24 May 2006
Page(s):4 pp.
Abstract:
This paper proposes a new visualization method to given chaotic attractors in discrete nonlinear dynamical systems. Conventionally it is expressed by plotting the solution orbit into a plane as a set of dots. In the case of color figures, a pixel is colored by the location of the orbit, histogram of hitting, and so on. We use an argument defined by a current orbit and an n-time mapped point is utilized for coloring. This can depict orientation or tendency of the orbit within the chaotic attractor. In this visualization process, a remarkable pattern emergence phenomenon is observed. We illustrate these color figures and discuss similarity to basins of attraction.
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