Results 211 to 220 of about 79,939 (231)
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International Journal of Bifurcation and Chaos, 2021
In [Chen et al., 2020], the third author and other coauthors studied global dynamics of the following system: [Formula: see text] in the parameter region [Formula: see text]. To study completely the piecewise linear system, we consider the parameter region [Formula: see text] in this paper.
Jiao Pu +3 more
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In [Chen et al., 2020], the third author and other coauthors studied global dynamics of the following system: [Formula: see text] in the parameter region [Formula: see text]. To study completely the piecewise linear system, we consider the parameter region [Formula: see text] in this paper.
Jiao Pu +3 more
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On the fold-Hopf bifurcation for continuous piecewise linear differential systems with symmetry
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2010In this paper a partial unfolding for an analog to the fold-Hopf bifurcation in three-dimensional symmetric piecewise linear differential systems is obtained. A particular biparametric family of such systems is studied starting from a very degenerate configuration of nonhyperbolic periodic orbits and looking for the possible bifurcation of limit cycles.
Llibre, Jaume +3 more
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International Journal of Bifurcation and Chaos, 2017
We study a class of planar continuous piecewise linear vector fields with three zones. Using the Poincaré map and some techniques for proving the existence of limit cycles for smooth differential systems, we prove that this class admits at least two limit cycles that appear by perturbations of a period annulus. Moreover, we describe the bifurcation of
Silva Lima, Mauricio Firmino +2 more
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We study a class of planar continuous piecewise linear vector fields with three zones. Using the Poincaré map and some techniques for proving the existence of limit cycles for smooth differential systems, we prove that this class admits at least two limit cycles that appear by perturbations of a period annulus. Moreover, we describe the bifurcation of
Silva Lima, Mauricio Firmino +2 more
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International Journal of Bifurcation and Chaos
In this paper, we investigate the existence of limit cycles in piecewise linear systems separated by two parallel straight lines, where in one of these straight lines, the piecewise differential system is continuous, and in the other, it is discontinuous.
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In this paper, we investigate the existence of limit cycles in piecewise linear systems separated by two parallel straight lines, where in one of these straight lines, the piecewise differential system is continuous, and in the other, it is discontinuous.
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Limit Cycles of Planar Piecewise Differential Systems with Linear Hamiltonian Saddles
Symmetry, 2021Jaume Llibre, Claudia Valls
exaly
Limit cycles of piecewise differential systems with linear Hamiltonian saddles and linear centres
Dynamical Systems, 2022Jaume Llibre, Claudia Valls
exaly
Piecewise linear differential systems without equilibria produce limit cycles?
Nonlinear Dynamics, 2016Jaume Llibre, Marco Antonio Teixeira
exaly
Piecewise linear differential systems with only centers can create limit cycles?
Nonlinear Dynamics, 2017Jaume Llibre, Marco Antonio Teixeira
exaly