Research Outputs

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Publication

On the Homoclinic Orbits of the Lü System

2017, Dra. Garcia-Saldaña, Johanna, Alvarez-Ramírez, M.

In this paper, the existence of homoclinic orbits of the equilibrium point [Formula: see text] is demonstrated in the case of the Lü system for parameter values not reported by G. A. Leonov. In addition, some simulations are shown that agree with our theoretical analysis.

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Publication

Phase portraits of abel quadratic differential systems of second kind with symmetries

2019, Ferragut, Antoni, Garcia-Saldaña, Johanna, Vallsc, Claudia

We provide normal forms and the global phase portraits on the Poincaré disk of the Abel quadratic differential equations of the second kind having a symmetry with respect to an axis or to the origin. Moreover, we also provide the bifurcation diagrams for these global phase portraits.