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Piecewise Implicit Differential Systems
(2017-12-01)
In this article we deal with non-smooth dynamical systems expressed by a piecewise first order implicit differential equations of the form x˙=1,(y˙)2={g1(x,y)ifφ(x,y)≥0g2(x,y)ifφ(x,y)≤0,where g1, g2, φ: U→ R are smooth ...
Local cyclicity in low degree planar piecewise polynomial vector fields
(Elsevier B.V., 2021-08-01)
In this work, we are interested in isolated crossing periodic orbits in planar piecewise polynomial vector fields defined in two zones separated by a straight line. In particular, in the number of limit cycles of small ...
Equações diferenciais ordinárias não suaves autônomas e não autônomas
(Universidade Estadual Paulista (Unesp), 2016-05-20)
Nesta tese estudamos sistemas dinâmicos não suaves autônomos e não autônomos. Consideramos inicialmente sistemas quadráticos positivamente limitados autônomos planares e damos condições sobre os campos para que o sistema ...
Equações diferenciais ordinárias não suaves autônomas e não autônomas
(Universidade Estadual Paulista (UNESP), 2016)
Equações diferenciais ordinárias não suaves autônomas e não autônomasAutonomous and non autonomous non smooth ordinary differential equations
(Universidade Estadual Paulista (Unesp), 2016)
Generic bifurcations of low codimension of planar Filippov Systems
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2011)
Birth of limit cycles from a 3D triangular center of a piecewise smooth vector field
(2017-01-01)
We consider a piecewise smooth vector field in R3, where the switching set is on an algebraic variety expressed as the zero of a Morse function.We depart from a model described by piecewise constant vector fields with a ...
GENERIC BIFURCATION OF SLIDING VECTOR-FIELDS
(Academic Press Inc Jnl-comp SubscriptionsSan Diego, 1993)
Sliding Vector Fields For Non-smooth Dynamical Systems Having Intersecting Switching Manifolds
(IOP PUBLISHING LTDBRISTOL, 2015)