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math.DS2016★ 2 cited
Chaos in Piecewise Smooth Vector Fields on Two Dimensional Torus and Sphere
Ricardo Miranda Martins, Durval José Tonon
In this paper we study the global dynamics of piecewise smooth vector fields defined in the two dimensional torus and sphere. We provide conditions under these families exhibits pe…
math.DS2015★ 1 cited
Hopf and Homoclinic Loop Bifurcations on a DC-DC Boost Converter under a SMC Strategy
Rony Cristiano, Tiago Carvalho, Durval José Tonon +1
In this paper, a dc-dc boost converter with sliding mode control and washout filter is analysed. This device is modelled as a three-dimensional Filippov system, characterized by th…