Macro and micro view on steady states in state space

TL;DR

This paper presents a visualization method for chaotic attractors and singularities in 3D space, enhancing understanding of chaos in physical circuits like Chua's circuit through macro and micro views.

Contribution

It introduces a novel visualization program that displays chaotic attractors and singularity elements in 2D and 3D, aiding in the analysis of chaos in physical systems.

Findings

Visualized chaotic attractors in 3D space

Linked attractor behavior to singularity planes

Enabled combined 2D and 3D analysis

Abstract

This paper describes visualization of chaotic attractor and elements of the singularities in 3D space. 3D view of these effects enables to create a demonstrative projection about relations of chaos generated by physical circuit, the Chua's circuit. Via macro views on chaotic attractor is obtained not only visual space illustration of representative point motion in state space, but also its relation to planes of singularity elements. Our created program enables view on chaotic attractor both in 2D and 3D space together with plane objects visualization -- elements of singularities.