On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems
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Data
2015-11-15
Autores
Gouveia, Márcio R.A. [UNESP]
Llibre, Jaume
Novaes, Douglas D.
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Resumo
In this paper we consider the linear differential center (x,y)=(-y,x) perturbed inside the class of all discontinuous piecewise linear differential systems with two zones separated by the straight line y=0. Using the Bendixson transformation we provide sufficient conditions to ensure the existence of a crossing limit cycle coming purely from the infinity. We also study the displacement function for a class of discontinuous piecewise smooth differential system.
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Discontinuous differential system, Displacement function, Infinite periodic orbit, Limit cycle, Piecewise linear differential system
Como citar
Applied Mathematics and Computation, v. 271, p. 365-374.