A qualitative study of planar piecewise smooth vector fields
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2018-05-18
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Universidade Federal de Goiás
Resumo
In this work we exhibit canonical forms for 2D codimension one piecewise smooth
vector Fields (PSVF). All possible orientations and codimension one scenarios were
covered. Also the intrinsic objects that characterize each one of the canonical forms
were presented. Also we present topological distinct canonical forms for a larger
class for symmetric PSVF where the set of fixed points is contained in the variety os
discontinuity. Finally we analyze the simultaneous occurrence of sliding and crossing
limit cycle in the case where the piecewise linear vector fields presents a continuum
of periodic orbits.
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Citação
CARDOSO FILHO, J. L. A qualitative study of planar piecewise smooth vector fields. 2018. 110 f. Tese (Doutorado em Matemática) - Universidade Federal de Goiás, Goiânia, 2018.