Discontinuous almost periodic type functions, almost automorphy of solutions of differential equations with discontinuous delay and applications [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this work, using discontinuous almost periodic type functions, exponential dichotomy and the notion of Bi-almost automorphicity we give sufficient conditions to obtain a unique almost automorphic solution of a quasilinear system of differential ...
Alan Chávez +2 more
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On limit cycles of piecewise differential systems formed by arbitrary linear systems and a class of quadratic systems [PDF]
Mathematica 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
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Limit cycles of planar piecewise linear Hamiltonian differential systems with two or three zones
Electronic 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
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Electronic 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
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Ratio 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
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Characterisation of Singular Domains in Threshold-Dependent Biological Networks
Journal 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
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Moroccan 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
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Robust Unidirectional Airflow through Avian Lungs: New Insights from a Piecewise Linear Mathematical Model. [PDF]
PLoS 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
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On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line [PDF]
, 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
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Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields [PDF]
, 2019 In the present study we consider planar piecewise linear vector fields with two zones separated by the straight line $x=0$. Our goal is to study the existence of simultaneous crossing and sliding limit cycles for such a class of vector fields.
Cardoso, Joao L. +3 more
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