Results 111 to 120 of about 73,929 (126)
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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
openaire +2 more sources
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.
openaire +1 more source
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 with only centers can create limit cycles?
Nonlinear Dynamics, 2017Jaume Llibre, Marco Antonio Teixeira
exaly
Piecewise linear differential systems without equilibria produce limit cycles?
Nonlinear Dynamics, 2016Jaume Llibre, Marco Antonio Teixeira
exaly
Phase portraits of continuous piecewise linear Liénard differential systems with three zones
Chaos, Solitons and Fractals, 2019Jaume Llibre, Shimin Li
exaly
Continuous Piecewise Affine Dynamical Systems do not Exhibit Zeno Behavior
IEEE Transactions on Automatic Control, 2011Le Quang Thuan
exaly