Experimental observation of a complex periodic window

TL;DR

This paper reports the first experimental observation of a complex periodic window in a Chua's circuit, highlighting its significance for understanding parameter space structures in nonlinear systems.

Contribution

It provides the first experimental evidence of a complex periodic window in a nonlinear circuit, demonstrating its existence despite size limitations.

Findings

First experimental observation of the window

Supports the idea that similar windows exist elsewhere

Highlights challenges in detecting small parameter space features

Abstract

The existence of a special periodic window in the two-dimensional parameter space of an experimental Chua's circuit is reported. One of the main reasons that makes such a window special is that the observation of one implies that other similar periodic windows must exist for other parameter values. However, such a window has never been experimentally observed, since its size in parameter space decreases exponentially with the period of the periodic attractor. This property imposes clear limitations for its experimental detection.