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pro vyhledávání: '"Aziz, Waleed"'
We consider a three dimensional complex polynomial, or rational, vector field (equivalently, a two-form in three variables) which admits a Liouvillian first integral. We prove that there exists a first integral whose differential is the product of a
Externí odkaz:
http://arxiv.org/abs/2310.20451
The aim of this study is to analyze the integrability problem of Lotka--Volterra three species biological system. The system which considered in this work is a biological plausibility or a chemical model. The system has a complex dynamical behavior b
Externí odkaz:
http://arxiv.org/abs/2308.13284
In this paper the problems of integrable and linearizable Lotka-Volterra equations with $(\delta:-3 \delta:\delta)$-resonance are studied. The necessary conditions for both problems are obtained in the case when $\delta=1$ and it's sufficiency are pr
Externí odkaz:
http://arxiv.org/abs/2207.14655
Autor:
Saber, Hersh M., Aziz, Waleed H.
The main objective of this work is to investigate the integrability and linearizability problems around a singular point at the origin of the family of differential systems Particularly we are interested in the three-dimensional cubic Lotka-Volterra
Externí odkaz:
http://arxiv.org/abs/2001.07836
Autor:
Aziz, Waleed
This work is devoted to investigating the algebraic and analytic integrability of first order polynomial partial differential equations via an understanding of the well-developed area of local and global integrability of polynomial vector fields. In
Externí odkaz:
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.574893
Autor:
Aziz, Waleed, Christopher, Colin
We investigate the local integrability and linearizability of three dimensional Lotka-Volterra equations at the origin. Necessary and sufficient conditions for both integrability and linearizability are obtained for (1,-1,1), (2,-1,1) and (1,-2,1)-re
Externí odkaz:
http://arxiv.org/abs/1111.2773
Publikováno v:
ZANCO Journal of Pure & Applied Sciences; 2024, Vol. 36 Issue 2, p96-106, 11p
Akademický článek
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Publikováno v:
Dynamical Systems: An International Journal. Jun2021, Vol. 36 Issue 2, p317-331. 15p.
Autor:
Aziz, Waleed, Christopher, Colin
Publikováno v:
In Applied Mathematics and Computation 15 December 2012 219(8):4067-4081