Results 161 to 170 of about 24,896 (183)

Planar systems of piecewise linear differential equations with a line of discontinuity

Nonlinearity, 2001
The 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

Four Limit Cycles of Discontinuous Piecewise Differential Systems with Nilpotent Saddles Separated by a Straight Line

Qualitative Theory of Dynamical Systems, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benabdallah, Imane, Benterki, Rebiha
openaire   +1 more source

Limit Cycles of Three‐Dimensional Discontinuous Piecewise Differential Systems Separated by Quadric Surfaces

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, Rebiha Benterki, Halla Sellami   +2 more
openaire   +1 more source

Limit Cycles in Discontinuous Planar Piecewise Differential Systems with Multiple Nonlinear Switching Curves

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

Four Limit Cycles of Three-Dimensional Discontinuous Piecewise Differential Systems Having a Sphere as Switching Manifold

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

Correction to: Limit Cycles in a Class of Planar Discontinuous Piecewise Quadratic Differential Systems with a Non-regular Line of Discontinuity (II)

Mediterranean Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
He, Dongping, Llibre, Jaume
openaire   +3 more sources

Limit Cycles of Planar Piecewise Differential Systems with Linear Hamiltonian Saddles

Symmetry, 2021
Jaume Llibre, Claudia Valls
exaly  

The Limit Cycles of Discontinuous Piecewise Linear Differential Systems Formed by Centers and Separated by Irreducible Cubic Curves II

Differential Equations and Dynamical Systems, 2021
Rebiha Benterki, Jaume Llibre
exaly  

The solution of the second part of the 16th Hilbert problem for nine families of discontinuous piecewise differential systems

Nonlinear Dynamics, 2020
Rebiha Benterki, Jaume Llibre
exaly  

On cyclicity in discontinuous piecewise linear near-Hamiltonian differential systems with three zones having a saddle in the central one

Nonlinear Dynamics, 2023
Claudio Pessoa, Rodrigo D Euzébio
exaly