Publication: Experimental Study Of A Nonlinear Circuit Described By Duffing's Equation
Date
2006-12
Authors
Volos, Christos K.
Kyprianidis, Ioannis M.
Stouboulos, Ioannis N.
Journal Title
Journal ISSN
Volume Title
Publisher
İstanbul Kültür Üniversitesi Yayınları
Abstract
We have studied experimentallyan electronic circuit that implements the Duffing equation. The
circuit appears periodic and non-periodic (chaotic) dynamics behavior, as we vary the amplitude of
the driving voltage signal Va. The expected operation of the circuit was confirmed, by comparing the
experimental results with the results of the simulation. From the study of the circuit's behavior, very
important phenomena conceming the Chaos theory were detected, such as the great sensitivity of the
circuit to initial conditions, the route to chaos through the mechanism of period doubling and the
phenomenon of crisis of chaotic attractors.
Description
Keywords
chaos, Duffing equation, phase portrait, poincare map, bifurcation diagram, period doubling, crisis of attractor, kaos, Duffing denklemi, faz portresi, poincare haritası, çatallanma diyagramı, iki kat dönemi, çekerin krizi