Meromorphic and formal first integrals for the Lorenz system
نویسندگان
چکیده
The Lorenz system , is completely integrable with two functional independent first integrals when ? = 0 and ?, r arbitrary. In this paper, we study the integrability of ?,?, ...
منابع مشابه
First Integrals of a Special System of Odes (TECHNICAL NOTE)
In this paper we suggest a method to calculate the first integrals of a special system of the first order of differential equations. Then we use the method for finding the solutions of some differential equations such as, the differential equation of RLC circuit.
متن کاملDarboux polynomials and rational first integrals of the generalized Lorenz systems
In this paper we characterize all Darboux polynomials and rational first integrals of the generalized Lorenz systems: ẋ = a(y − x), ẏ = bx + cy − xz, ż= dz+ xy. Our results include the corresponding ones for the Lorenz systems, the Chen systems and the Lü systems as special cases. © 2011 Elsevier Masson SAS. All rights reserved. MSC: 34A34; 34C20; 34C41; 37G05
متن کاملthe search for the self in becketts theatre: waiting for godot and endgame
this thesis is based upon the works of samuel beckett. one of the greatest writers of contemporary literature. here, i have tried to focus on one of the main themes in becketts works: the search for the real "me" or the real self, which is not only a problem to be solved for beckett man but also for each of us. i have tried to show becketts techniques in approaching this unattainable goal, base...
15 صفحه اولNon-existence of new meromorphic first integrals in the planar three-body problem
We consider the planar three-body problem and prove that, apart from some exceptional cases, there is no additional first integral meromorphic with respect to positions, mutual distances and momenta.
متن کاملMeromorphic connections on P and the multiplicity of Abelian integrals
In this paper we introduce the concept of Abelian integrals in differential equations for an arbitrary vector bundle on P1 with a meromorphic connection. In this general context we give an upper bound for the numbers we are looking for. Let V be a locally free sheaf (vector bundle) of rank α on P and D = ∑r i=1 mici be a positive divisor in P , i.e. all ci’s are positive. We denote by C the set...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 2021
ISSN: ['1776-0852', '1402-9251']
DOI: https://doi.org/10.1080/14029251.2018.1440745