Big Bang Bifurcations in the Tantalus Oscillator Under Biphasic Perturbations

The Tantalus Oscillator is a nonlinear hydrodynamic oscillator with an attractive limit cycle. In this study, we pursue the construction of a biparametric bifurcation diagram for the Tantalus Oscillator under biphasic perturbations. That is the first time that this kind of diagram is built for this kind of oscillator under biphasic 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 obtained under monophasic perturbations. Now we have the appearance of periodic increment Big Bang Bifurcations. The theoretical results are in excellent agreement with experimental observations.

The Hydrodynamic Oscillator and Its Use in the Investigation of Chemical Oscillators

Rules governing the hydrodynamic oscillator were studied with a view to using it in the examination of the coupling of two different chemical oscillators, in the periodical perturbation of the oscillatory system, or in the initiation of chemical oscillations by the self-regulating addition of one reactant to the other. The hydrodynamic oscillator can be employed in the study of the complex dynamic behaviour of chemical oscillators provided that the liquids used are not too viscous or that a vessel without a capillary is employed in order to maximally reduce the effect of viscosity.