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pro vyhledávání: '"Aziza Berbache"'
Autor:
Aziza Berbache
Publikováno v:
Mathematica Bohemica, Vol 148, Iss 4, Pp 617-629 (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. We show that when these piecewise differential systems are continuo
Externí odkaz:
https://doaj.org/article/439db790a58c4107b909850694ea5a5b
Publikováno v:
Mathematica Bohemica, Vol 146, Iss 2, Pp 151-165 (2021)
We consider limit cycles of a class of polynomial differential systems of the form \begin{cases} \dot{x}=y, \dot{y}=-x-\varepsilon(g_{21}( x) y^{2\alpha+1} +f_{21}(x) y^{2\beta})-\varepsilon^2(g_{22}( x) y^{2\alpha+1}+f_{22}( x) y^{2\beta}), \end{cas
Externí odkaz:
https://doaj.org/article/3b677d543f87443ea1b49cb7818f5ea0
Autor:
Aziza Berbache
Publikováno v:
Mathematica Bohemica. :1-13
Autor:
Aziza Berbache
Publikováno v:
Tatra Mountains Mathematical Publications. 79:47-58
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 ce
Publikováno v:
Tatra Mountains Mathematical Publications. 79:33-46
The problems of existence of limit cycles and their numbers are the most difficult problems in the dynamical planar systems. In this paper, we study the limit cycles for a family of polynomial differential systems of degree 6k + 1, k ∈ ℕ*, with t
Publikováno v:
Novi Sad Journal of Mathematics.
Publikováno v:
Studia Universitatis Babes-Bolyai Matematica. 65:403-410
Up until now all the polynomial differential systems for which non-algebraic limit cycles are known explicitly have degree odd. Here we show that already that there are polynomial systems of degree even has an explicit limit cycle which is not algebr
Publikováno v:
Mathematica Bohemica, Vol 146, Iss 2, Pp 151-165 (2021)
We consider limit cycles of a class of polynomial differential systems of the form \begin{cases} \dot{x}=y, \dot{y}=-x-\varepsilon(g_{21}( x) y^{2\alpha+1} +f_{21}(x) y^{2\beta})-\varepsilon^2(g_{22}( x) y^{2\alpha+1}+f_{22}( x) y^{2\beta}), \end{cas
Publikováno v:
Analele Ştiinţifice ale Universităţii 'Al.I. Cuza' din Iaşi. Matematică; 2018, Issue 2, p253-259, 7p
Publikováno v:
Analele Ştiinţifice ale Universităţii 'Al.I. Cuza' din Iaşi. Matematică; 2018, Vol. 64 Issue 2, p253-259, 7p