Big Bang Bifurcations in the Tantalus Oscillator Under Biphasic Perturbations
Por:
Arce H., Torres A., Cabrera A., Alarcón M., Málaga C.
Publicada:
1 feb 2019
Resumen:
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.
Filiaciones:
Departamento de Física, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad de México, C. P. 04510, Mexico
Univ Nacl Autonoma Mexico, Fac Ciencias, Dept Fis, Ciudad De Mexico 04510, Mexico
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