Results 151 to 160 of about 24,896 (183)

On Hilbert’s 16th Problem for Some Discontinuous Piecewise Differential Systems

International Journal of Bifurcation and Chaos, 2022
In this paper, we study the number of limit cycles for discontinuous piecewise differential systems formed by two differential systems separated by a straight line, when these differential systems are quadratic isochronous centers in a half-plane and the cubic isochronous centers in the other one.
Bakhshalizadeh, Ali, Nyamoradi, Nemat
openaire   +1 more source

The limit cycles of a class of discontinuous piecewise differential systems

International Journal of Dynamical Systems and Differential Equations, 2023
The determination of the maximum number of limit cycles and their possible positions in the plane is one of the most difficult problems in the qualitative theory of planar differential systems. This problem is related to the second part of the unsolved 16th Hilbert's problem.
Baymout, Louiza   +2 more
openaire   +3 more sources

Phase Portraits of the Discontinuous Planar Piecewise Linear Differential Systems of Focus-Center Type

Qualitative Theory of Dynamical Systems, 2022
Discontinuous planar piecewise linear differential system of the focus-center type and the center-center type with a straight line of separation are being studied. The global topological classification of these systems on the Poincaré disc is studied. 60 phase portraits on the Poincaré disc up to topological equivalence are obtained.
Li Xiong, Kuilin Wu, Shimin Li
openaire   +1 more source

Regularizing Piecewise Smooth Differential Systems: Co-Dimension $$2$$ Discontinuity Surface

Journal of Dynamics and Differential Equations, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DIECI L, GUGLIELMI, NICOLA
openaire   +2 more sources

Limit cycles for a class of discontinuous piecewise generalized Kukles differential systems

Nonlinear Dynamics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ana C. Mereu   +2 more
openaire   +2 more sources

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