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Macro and micro view on steady states in state space. (English) Zbl 1197.68082

Summary: This paper describes visualization of chaotic attractors and elements of singularities in 3D space. 3D view of these effects enables us to create a demonstrative projection on relations of chaos generated by a physical circuit: Chua’s circuit. Via macro views of a chaotic attractor we obtain not only visual space illustration of representative point motion in state space, but also its relation to planes of elements of singularities. The program we developed makes it possible to create views on a chaotic attractor both in 2D and 3D space together with visualization of plane objects – elements of singularities.

MSC:

68U10 Computing methodologies for image processing
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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