Experimental observation of indeterminate transition in a driven R- L-diode resonator

Abstract

We have investigated experimentally the nonlinear resonance of a driven R- L-diode resonator in the non-chaotic regime. We confirm the existence of random transitions between multiple branches of nonlinear resonant curves. Using a simple numerical model, we indicate that the origin of these random transitions was due to the pile-up of infinitesimal structures in the vicinity of the saddle orbit. These unpredictable transitions occur without homoclinic tangle, which indicates that there exists another scenario different from the one suggested by Thompson et al.