The chaotic circuit: A learning module for chaos

Authors

Mark Rivera ⋅ PH Deparent of Science and Technology, Advanced Science and Technology Institute
E. Hernandez ⋅ PH Software Brewers Incorporated, Quezon City
Edward Chainani ⋅ PH Department of Chemistry, Ateneo de Manila University
M. Chu ⋅ PH Department of Physics, Ateneo de Manila University
Kathleen Duffy ⋅ PH Department of Physics, Ateneo de Manila University

Abstract

An autonomous electric circuit similar to the design of Chua et al. with a single nonlinear element, a three-segment piecewise-linear resistor, has been implemented. This system clearly exhibits chaos. Using a variable resistor, the slopes of the active resistor can be varied to allow access to a broad range of the phase space of the oscillator. Period doubling bifurcations are observed as well as Double Scroll and Rossler attractors. The circuit can be modelled by a set of three coupled first-order differential equations. A computer simulation of the circuit has also been implemented for comparison. This package provides an excellent introduction to the theory of chaos for beginners since it serves to illustrate the basic physical concepts very concretely.

Downloads

Issue

1992: Proceedings of the International Conference on Physics and Technology in the 1990's

Article ID

ICPT-1992-IP-06

Section

Instrumentation Physics

Published

1992-12-01

How to Cite

[1]

M Rivera, E Hernandez, E Chainani, M Chu, and K Duffy, The chaotic circuit: A learning module for chaos, Proceedings of the Samahang Pisika ng Pilipinas 10, ICPT-1992-IP-06 (1992). URL: https://proceedings.spp-online.org/article/view/ICPT-1992-IP-06.