Liouvillian function

In mathematics, a Liouvillian function is an elementary function or (recursively) the integral of a Liouvillian function. More explicitly, it is a…

Papers overview

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2018

The operation of autonomous finite-time quantum heat engines rely on the existence of a stable limit cycle in which the dynamics…

2018

In this paper we characterize all the Liouvillian first integrals of some quadratic Liénard polynomial differential systems. In…

2016

In this paper the problem of generalized synchronization, is studied for chaotic Liouvillian nonlinear fractional systems of…

2014

Nous d\'ecrivons les singularit\'es de feuilletages holomorphes dicritiques de petite multiplicit\'e en dimension $3$. En…

2013

M.F. Singer [Liouvillian first integrals of differential equations, Trans. Amer. Math. Soc. 333 (1992), 673--688] proved the…

2010

We show that a generic $SL(2,R)$ valued cocycle in the class of $C^r$, ($0 < r < 1$) cocycles based on a rotation flow on the $d…

2009

2009

We consider the long standing problem of integrability of the Poisson equations describing spatial motion of a rigid body in the…

1997

Let D be a normal crossing divisor in a complex analytic manifold of dimension «, and let Q be a closed logarithmic one-form…

1986

In this paper, we discuss a decision procedure for the indefinite integration of transcendental Liouvillian functions in terms of…