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Higher order averaging theory for finding periodic solutions via Brouwer degree
(Iop Publishing LtdBristolInglaterra, 2014)
Regularization Of Hidden Dynamics In Piecewise Smooth Flows
(ACADEMIC PRESS INC ELSEVIER SCIENCESAN DIEGO, 2015)
Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold
(2019-09-05)
We study the family of piecewise linear differential systems in the plane with two pieces separated by a cubic curve. Our main result is that 7 is a lower bound for the Hilbert number of this family. In order to get our ...
Limit Cycles Bifurcating From The Periodic Orbits Of A Discontinuous Piecewise Linear Differentiable Center With Two Zones
(WORLD SCIENTIFIC PUBL CO PTE LTDSINGAPORE, 2015)
Estudo de ciclos limites em uma classe de equações diferenciais descontínuasStudy of limit cycles in a class of discontinuous differential equations
(Universidade Estadual Paulista (Unesp), 2016)
Piecewise smooth dynamical systems: Persistence of periodic solutions and normal forms
(2016-04-05)
We consider an n-dimensional piecewise smooth vector field with two zones separated by a hyperplane σ which admits an invariant hyperplane Ω transversal to σ containing a period annulus A fulfilled by crossing periodic ...
Sobre a estabilidade estrutural e regularizações de campos de vetores descontínuosAbout the structural stability and regularizations of discontinuous vector fields
(Universidade Estadual Paulista (Unesp), 2016)