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On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems
(2015-11-15)
In this paper we consider the linear differential center (x,y)=(-y,x) perturbed inside the class of all discontinuous piecewise linear differential systems with two zones separated by the straight line y=0. Using the ...
LIMIT CYCLES of DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS
(World Scientific Publ Co Pte Ltd, 2011-11-01)
We study the bifurcation of limit cycles from the periodic orbits of a two-dimensional (resp. four-dimensional) linear center in R(n) perturbed inside a class of discontinuous piecewise linear differential systems. Our ...
LIMIT CYCLES of DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS
(World Scientific Publ Co Pte Ltd, 2011-11-01)
We study the bifurcation of limit cycles from the periodic orbits of a two-dimensional (resp. four-dimensional) linear center in R(n) perturbed inside a class of discontinuous piecewise linear differential systems. Our ...
On the Boundedness of Solutions of Discontinuous Differential Equations
(Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC, 2021-09-06)
By using the notion of Carathéodory solution to differential equations, the present work studies the boundedness of solutions of discontinuous differential equations. For these discontinuous systems determined by discontinuous ...
Birth Of Limit Cycles For A Class Of Continuous And Discontinuous Differential Systems In (d+2)-dimension
(Taylor & Francis LtdAbingdon, 2016)
On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line
(Elsevier B.V., 2015-04-01)
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. More precisely, we prove that this maximum number ...
Piecewise Linear Differential Systems Without Equilibria Produce Limit Cycles?
(SpringerDordrecht, 2017)
Discontinuous almost periodic type functions, almost automorphy of solutions of differential equations with discontinuous delay and applications
(University of Szeged, 2014)
Abstract. 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 ...
LIMIT CYCLES of DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS
(World Scientific Publ Co Pte Ltd, 2014)
LOWER BOUNDS FOR THE MAXIMUM NUMBER OF LIMIT CYCLES OF DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH A STRAIGHT LINE OF SEPARATION
(World Scientific Publ Co Pte LtdSingaporeSingapura, 2013)