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Liouvillian function

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

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2016
2016
In this paper the problem of generalized synchronization, is studied for chaotic Liouvillian nonlinear fractional systems of… Expand
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2014
2014
Nous d\'ecrivons les singularit\'es de feuilletages holomorphes dicritiques de petite multiplicit\'e en dimension $3$. En… Expand
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2013
2013
M.F. Singer [Liouvillian first integrals of differential equations, Trans. Amer. Math. Soc. 333 (1992), 673--688] proved the… Expand
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2010
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… Expand
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2009
2009
We consider the Poisson equations for the classical Suslov system of rigid body mechanics and show that under some minor… Expand
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2002
2002
The usual Prelle–Singer (PS) approach misses many first-order ordinary differential equations presenting Liouvillian functions in… Expand
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1997
1997
Let D be a normal crossing divisor in a complex analytic manifold of dimension «, and let Q be a closed logarithmic one-form… Expand
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Highly Cited
1988
Highly Cited
1988
Liouvillian functions are functions that are built up from rational functions using exponentiation, integration, and algebraic… Expand
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1986
1986
In this paper, we discuss a decision procedure for the indefinite integration of transcendental Liouvillian functions in terms of… Expand
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