On the Number of Limit Cycles in General Planar Piecewise Linear Differential Systems with Two Zones Having Two Real Equilibria
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DOI: 10.1007/s12346-020-00441-x
Abstract: A general family of planar piecewise linear ODEs with two zones both having a real focus and separated by a straight line is considered. By analyzing the number of zero points of a new function… read more here.
Keywords: planar piecewise; limit cycles; number; piecewise linear ... See more keywords
Limit cycles in 4-star-symmetric planar piecewise linear systems
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DOI: 10.1016/j.jde.2019.09.008
Abstract: Abstract Our interest is centered in the study of the number of limit cycles for nonsmooth piecewise linear vector fields on the plane when the switching curve is x y = 0 . We consider… read more here.
Keywords: planar piecewise; limit cycles; cycles star; symmetric planar ... See more keywords
Lyapunov coefficients for an invisible fold-fold singularity in planar piecewise Hamiltonian systems
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DOI: 10.1016/j.jmaa.2019.123692
Abstract: Abstract We study the stability of an invisible fold-fold singularity of planar piecewise smooth Hamiltonian vector fields by computing some kind of Lyapunov coefficients. We obtain the general expressions for the first five Lyapunov coefficients.… read more here.
Keywords: lyapunov coefficients; fold fold; singularity planar; planar piecewise ... See more keywords
Discontinuity-induced limit cycles in a general planar piecewise linear system of saddle–focus type
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DOI: 10.1016/j.nahs.2019.03.004
Abstract: Abstract The aim of this paper is to deal with the problem of limit cycles for a general planar piecewise linear differential system of saddle–focus type. By using the Lienard-like canonical form with five parameters… read more here.
Keywords: general planar; piecewise linear; limit; limit cycles ... See more keywords
Local cyclicity in low degree planar piecewise polynomial vector fields
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DOI: 10.1016/j.nonrwa.2020.103278
Abstract: Abstract 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… read more here.
Keywords: piecewise polynomial; polynomial vector; planar piecewise; vector fields ... See more keywords