Hardware toolkit for studying chaos: A live demonstration of Nonlinear Dynamics instrumentation with audience participation

Abstract

We demonstrate three instruments which have proven useful for studying Nonlinear Dynamical systems. The 3D Rotator [1] enables one to display in real time any two-dimensional projection of an attractor in R3, it can also be used to take Poincare sections of attractors. The Laser Projector is a laser-based X-Y projection oscilloscope for demonstrating bifurcation phenomena. The Nonlinear Dynamics Analyzer [2] characterizes steady-state behaviors of Nonlinear Dynamical systems by estimating the power spectrum, dimension, and Lyapunov exponents of the corresponding attractors from their time-series.

Publication Title

Midwest Symposium on Circuits and Systems

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