Results 161 to 170 of about 26,995 (188)
Some of the next articles are maybe not open access.
The limit cycles of a class of discontinuous piecewise differential systems
International Journal of Dynamical Systems and Differential Equations, 2023The 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
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
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, 2013zbMATH 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, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ana C. Mereu +2 more
openaire +2 more sources
Planar systems of piecewise linear differential equations with a line of discontinuity
Nonlinearity, 2001The authors study dynamical properties of the planar system \[ \dot u= Au+sgn( w^{T}u) v, \] where \(A\) is a real \(2\times 2\)-matrix and \(u, v, w\) are two-dimensional real vectors. The dependence on the system parameters \(A,v\) and \(w,\) including the existence of periodic solutions with sliding motion, is analyzed.
Giannakopoulos, Fotios, Pliete, Karin
openaire +2 more sources
Qualitative Theory of Dynamical Systems, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benabdallah, Imane, Benterki, Rebiha
openaire +1 more source
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benabdallah, Imane, Benterki, Rebiha
openaire +1 more source
Mathematical Methods in the Applied Sciences
ABSTRACTDetermining the maximum number of crossing limit cycles remains among the most challenging problems in the qualitative theory of piecewise linear differential systems. This study examines this issue by investigating systems in consisting of an arbitrary 3D linear center and an arbitrary 3D linear differential system, separated by quadric ...
Meriem Barkat +2 more
openaire +1 more source
ABSTRACTDetermining the maximum number of crossing limit cycles remains among the most challenging problems in the qualitative theory of piecewise linear differential systems. This study examines this issue by investigating systems in consisting of an arbitrary 3D linear center and an arbitrary 3D linear differential system, separated by quadric ...
Meriem Barkat +2 more
openaire +1 more source
Qualitative Theory of Dynamical Systems
The authors consider discontinuous piecewise quadratic polynomial differential systems with four zones separated by two nonlinear curves, that are small perturbations of the linear center. They analyse the first and second order averaging functions, providing in this way bounds for the number of crossing limit cycles.
Wang, Min, Huang, Lihong, Wang, Jiafu
openaire +2 more sources
The authors consider discontinuous piecewise quadratic polynomial differential systems with four zones separated by two nonlinear curves, that are small perturbations of the linear center. They analyse the first and second order averaging functions, providing in this way bounds for the number of crossing limit cycles.
Wang, Min, Huang, Lihong, Wang, Jiafu
openaire +2 more sources
International Journal of Bifurcation and Chaos
Because of their applications, the study of piecewise-linear differential systems has become increasingly important in recent years. This type of system already exists to model many different natural phenomena in physics, biology, economics, etc. As is well known, the study of the qualitative theory of piecewise differential systems focuses mainly on ...
Louiza Baymout, Rebiha Benterki
openaire +1 more source
Because of their applications, the study of piecewise-linear differential systems has become increasingly important in recent years. This type of system already exists to model many different natural phenomena in physics, biology, economics, etc. As is well known, the study of the qualitative theory of piecewise differential systems focuses mainly on ...
Louiza Baymout, Rebiha Benterki
openaire +1 more source
Mediterranean Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
He, Dongping, Llibre, Jaume
openaire +3 more sources
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
He, Dongping, Llibre, Jaume
openaire +3 more sources