Title :
Hardware toolkit for studying chaos: a live demonstration of nonlinear dynamics instrumentation with audience participation
Author :
Kennedy, Michael Peter
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA
Abstract :
Three instruments which have proven useful for studying nonlinear dynamical systems are demonstrated. The 3D rotator enables one to display in real time any two-dimensional projection of an attractor in R 3; 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 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
Keywords :
bifurcation; chaos; computer aided analysis; demonstrations; display instrumentation; laser beam applications; nonlinear systems; oscilloscopes; 3D rotator; Lyapunov exponents; Poincare sections; attractor; bifurcation phenomena; chaos; hardware toolkit; laser-based X-Y projection oscilloscope; nonlinear dynamical systems; power spectrum; steady-state behaviors; time series; two-dimensional projection; Bifurcation; Chaos; Hardware; Instruments; Nonlinear dynamical systems; Oscilloscopes; Steady-state; Three dimensional displays; Time series analysis; Two dimensional displays;
Conference_Titel :
Circuits and Systems, 1991., Proceedings of the 34th Midwest Symposium on
Conference_Location :
Monterey, CA
Print_ISBN :
0-7803-0620-1
DOI :
10.1109/MWSCAS.1991.252002
