Results 1 to 10 of about 29,939 (196)

Limit cycles of discontinuous piecewise linear differential systems formed by centers or Hamiltonian without equilibria separated by irreducible cubics

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
The main goal of this paper is to provide the maximum number of crossing limit cycles of two different families of discontinuous piecewise linear differential systems.
Damene Loubna, Benterki Rebiha
doaj   +2 more sources

On limit cycles of piecewise differential systems formed by arbitrary linear systems and a class of quadratic systems [PDF]

open access: yesMathematica Bohemica, 2023
We study the continuous and discontinuous planar piecewise differential systems separated by a straight line and formed by an arbitrary linear system and a class of quadratic center.
Aziza Berbache
doaj   +2 more sources

Limit Cycles Bifurcating from a Periodic Annulus in Discontinuous Planar Piecewise Linear Hamiltonian Differential System with Three Zones [PDF]

open access: yesInternational Journal of Bifurcation and Chaos, 2021
In this paper, we study the number of limit cycles that can bifurcate from a periodic annulus in a discontinuous planar piecewise linear Hamiltonian differential system with three zones separated by two parallel straight lines.
Claudio Pessoa, R. Ribeiro
semanticscholar   +5 more sources

Limit cycles of planar discontinuous piecewise linear Hamiltonian systems without equilibria separated by reducible cubics

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
Due to their applications to many physical phenomena during these last decades the interest for studying the discontinuous piecewise differential systems has increased strongly.
Rebiha Benterki   +2 more
doaj   +2 more sources

On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line [PDF]

open access: yes, 2014
In this paper we study the maximum number $N$ of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line.
Euzébio, Rodrigo D., Llibre, Jaume
core   +6 more sources

Limit cycles of planar piecewise linear Hamiltonian differential systems with two or three zones

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2022
In this paper, we study the existence of limit cycles in continuous and discontinuous planar piecewise linear Hamiltonian differential system with two or three zones separated by straight lines and such that the linear systems that define the piecewise ...
Claudio Pessoa, Ronisio Ribeiro
doaj   +1 more source

Parameter uniform convergence of a finite element method for a singularly perturbed linear reaction diffusion system with discontinuous source terms

open access: yesRatio Mathematica, 2023
A linear system of ’n’ second order ordinary differential equations of reaction-diffusion type with discontinuous source terms is considered. On a piecewise uniform Shishkin mesh, a numerical system is built that employs the finite element method.
Vinoth Maruthamuthu   +1 more
doaj   +1 more source

Characterisation of Singular Domains in Threshold-Dependent Biological Networks

open access: yesJournal of Nigerian Society of Physical Sciences, 2022
Threshold-dependent networks behave like piecewise smooth system which belongs to a class of systems with discontinuous right hand side. It can be studied with piecewise linear differential equations.
Benitho Ngwu   +5 more
doaj   +1 more source

Explicit Non Algebraic Limit Cycle for a Discontinuous Piecewise Differential Systems Separated by One Straight Line and Formed by Linear Center and Linear System Without Equilibria

open access: yesTatra Mountains Mathematical Publications, 2021
In this paper, we deal with the discontinuous piecewise differential linear systems formed by two differential systems separated by a straight line when one of these two differential systems is a linear without equilibria and the other is a linear center.
A. Berbache
semanticscholar   +1 more source

Robust Unidirectional Airflow through Avian Lungs: New Insights from a Piecewise Linear Mathematical Model. [PDF]

open access: yesPLoS Computational Biology, 2016
Avian lungs are remarkably different from mammalian lungs in that air flows unidirectionally through rigid tubes in which gas exchange occurs. Experimental observations have been able to determine the pattern of gas flow in the respiratory system, but ...
Emily P Harvey, Alona Ben-Tal
doaj   +1 more source

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