Big Bang Bifurcations in the Tantalus Oscillator under Biphasics Perturbations

TL;DR

This paper constructs the first biparametric bifurcation diagram for the Tantalus Oscillator under biphasic perturbations, revealing new bifurcation phenomena and confirming theoretical predictions with experiments.

Contribution

It introduces the first bifurcation diagram for the Tantalus Oscillator with biphasic perturbations, highlighting the emergence of Big Bang Bifurcations.

Findings

Biphasic perturbations have minimal effect over a wide coupling time range.

Bifurcation diagrams differ significantly from monophasic cases.

Experimental results align with theoretical predictions.

Abstract

The Tantalus Oscillator is a non linear hydrodynamic oscillator with an attractive limit cycle. In this study we pursue the construction of a biparametric bifurcation diagram for the Tantalus Oscillator under biphasics perturbations. That is the first time that this kind of diagram is built for this kind of oscillator under biphasics perturbations. Results show that biphasic perturbations have no effect when the coupling time is chosen over a wide range of values. This modifies the bifurcation diagram obtain under monophasics perturbations. Now we have the appearance of periodic increment Big Bang Bifurcations. The theoretical results are in excellent agreement with experimental observations.