Journal ArticleDOI
Determining Liouvillian first integrals for dynamical systems in the plane and an integrability analysis
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A semi-algorithm to find Liouvillian first integrals of dynamical systems in the plane based on a Darboux-type procedure to find the integrating factor for the system.About:
This article is published in Computer Physics Communications.The article was published on 2014-05-01. It has received 4 citations till now. The article focuses on the topics: Ode & Rational function.read more
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The search for Invariants for 3D Systems of 1ODEs - a new Method and Integrability Analysis
TL;DR: In this article, the integrability analysis of a 3D system of first order rational differential equations (1ODEs) with free parameters has been studied in the context of finding elementary invariants.
2 Some basic results about Lie symmetry method for 2
TL;DR: In this paper, the authors present a new approach to compute symmetries of rational second order ordinary differential equations (rational 2ODEs) based on the formal equivalence between the total derivative operator and the vector field associated with the 2ODE over its solutions.
A New S-Function Method searching for First Order Differential Integrals: Faster, Broader, Better
TL;DR: In this paper , the S-function was used to find an integrating factor of a set of first order rational ordinary differential equations (rational 1ODEs) which is shared by the original 2ODE.
C A ] 4 J an 2 02 3 GENERALIZED LIÉNARD EQUATIONS PRESENTING LIOUVILLIAN FIRST INTEGRALS
TL;DR: In this paper , a new method to determine Liouvillian first integrals for Liénard-Levinson-Smith (LLS) equations is proposed, which allows an analysis of the integrability region of the equation's parameters in a natural way.
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The search for Invariants for 3D Systems of 1ODEs - a new Method and Integrability Analysis
TL;DR: In this article, the integrability analysis of a 3D system of first order rational differential equations (1ODEs) with free parameters has been studied in the context of finding elementary invariants.