Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Rebiha Benterki"'
The Solution of the Extended 16th Hilbert Problem for Some Classes of Piecewise Differential Systems
Publikováno v:
Mathematics, Vol 12, Iss 3, p 464 (2024)
The limit cycles have a main role in understanding the dynamics of planar differential systems, but their study is generally challenging. In the last few years, there has been a growing interest in researching the limit cycles of certain classes of p
Externí odkaz:
https://doaj.org/article/460de98e2b814bf2a4beb8d20af46a19
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2021, Iss 69, Pp 1-38 (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. The limit cycles play a main role in the study of any planar differentia
Externí odkaz:
https://doaj.org/article/5eefb641e61b43c68e31ef7b440e8f1b
Autor:
Rebiha Benterki, Jaume Llibre
Publikováno v:
Symmetry, Vol 15, Iss 8, p 1476 (2023)
Roughly speaking, the Poincaré disc D2 is the closed disc centered at the origin of the coordinates of R2, where the whole of R2 is identified with the interior of D2 and the circle of the boundary of D2 is identified with the infinity of R2, becaus
Externí odkaz:
https://doaj.org/article/cdc6ca0b208b4b87b4538ae4ba5fa792
Autor:
Rebiha Benterki, Jaume Llibre
Publikováno v:
Electronic Journal of Differential Equations, Vol 2019, Iss 15,, Pp 1-25 (2019)
We classify the phase portraits of quadratic polynomial differential systems having some relevant classic quartic algebraic curves as invariant algebraic curves, i.e. these curves are formed by orbits of the quadratic polynomial differential syste
Externí odkaz:
https://doaj.org/article/f369242b4fc741248842a04d9adc69b3
Autor:
Rebiha Benterki, Jaume LLibre
Publikováno v:
Mathematics, Vol 8, Iss 5, p 755 (2020)
In this paper, we study the existence of limit cycles of planar piecewise linear Hamiltonian systems without equilibrium points. Firstly, we prove that if these systems are separated by a parabola, they can have at most two crossing limit cycles, and
Externí odkaz:
https://doaj.org/article/a59b18d33f0d4a2a9de3c5f52c55207c
Autor:
Rebiha Benterki, Jaume Llibre
Publikováno v:
Electronic Journal of Differential Equations, Vol 2012, Iss 78,, Pp 1-6 (2012)
Up to now all the examples of polynomial differential systems for which non-algebraic limit cycles are known explicitly have degree at most 5. Here we show that already there are polynomial differential systems of degree at least exhibiting explicit
Externí odkaz:
https://doaj.org/article/77042f114c3b41728c4720acae40b15c
Autor:
Rebiha Benterki, Ahlam Belfar
Publikováno v:
Tatra Mountains Mathematical Publications. 81:129-144
The main goal of this paper is to classify the global phase portraits of seven quadratic polynomial differential systems, exhibiting as invariant algebraic curves seven well-known algebraic curves of degree six. We prove that these systems have five
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b5006e4440ae81adbc79a89bf3897e82
https://doi.org/10.2478/tmmp-2022-0010
https://doi.org/10.2478/tmmp-2022-0010
Publikováno v:
Nonlinear Dynamics. 111:1475-1484
In order to understand the dynamics of the planar differential systems, the limit cycles play a main role, but in general their study is not easy. These last years, an increasing interest appeared for studying the limit cycles of some classes of piec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0940edfe0b1d18fcae96000997aab622
https://doi.org/10.1007/s11071-022-07891-9
https://doi.org/10.1007/s11071-022-07891-9
Autor:
Loubna Damene, Rebiha Benterki
Publikováno v:
Rendiconti del Circolo Matematico di Palermo Series 2. 72:1103-1114
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::377d569159a3c38cb7fe849decb3bfe3
https://doi.org/10.1007/s12215-021-00716-5
https://doi.org/10.1007/s12215-021-00716-5
Autor:
Rebiha Benterki, Ahlam Belfar
Publikováno v:
Demonstratio Mathematica. 56
The classification of the phase portraits is one of the classical and difficult problems in the qualitative theory of polynomial differential systems in R 2 {{\mathbb{R}}}^{2} , particularly for quadratic systems. Even with the hundreds of studies on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3c34efe235871c7be1546dbdbc1214a8
https://doi.org/10.1515/dema-2022-0218
https://doi.org/10.1515/dema-2022-0218