Experimental observation of a complex periodic window

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.

4.2 pages, 4 figures

References in corpus (1)

• Self-similarities in the frequency-amplitude space of a loss-modulated CO${}_2$ laser

Cited by in corpus (6)

• Identifying complex periodic windows in continuous-time dynamical systems using recurrence-based methods
• Bifurcation structures and transient chaos in a four-dimensional Chua model
• Replicate Periodic Windows in the Parameter Space of Driven Oscillators
• Dynamical estimates of chaotic systems from Poincaré recurrences
• Chaotic saddles in nonlinear modulational interactions in a plasma
• Coupling-induced periodic windows in networked discrete-time systems