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On the crossing limit cycles created by a discontinuous piecewise differential system formed by three linear Hamiltonian saddles

open access: yesDynamical Systems
We study planar discontinuous piecewise differential systems formed by three linear Hamiltonian saddles separated by the non-regular line $ \Sigma =\{(x,y)\in \mathbb {R}^2: (y=0) \vee (x=0 \wedge y\geq 0)\} $ Σ={(x,y)∈R2:(y=0)∨(x=0∧y≥0)}.
Maria Elisa Anacleto   +3 more
semanticscholar   +5 more sources

Piecewise linear differential systems without equilibria produce limit cycles? [PDF]

open access: yesSão Paulo Journal of Mathematical Sciences, 2016
Agraïments: The first author is partially supported by FEDER-UNAB-10-4E-378 and a CAPES grant 88881. 030454/2013-01 do Programa CSF-PVE.
J. Llibre, M. Teixeira
semanticscholar   +8 more sources

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