The theory of integrability plays an important role in the study of the dynamics of differential
systems. This theory is related to several branches of mathematics, such as algebraic …

Darboux integrability and invariant algebraic curves for planar polynomial systems Page 1
INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS A: MATHEMATICAL AND …

Given a centre of a planar differential system, we extend the use of the Lie bracket to the
determination of the monotonicity character of the period function. As far as we know, there …

We consider the two-dimensional autonomous systems of differential equations of the form
where P (x, y) and Q (x, y) are analytic functions of order greater than or equal to 2. These …

In this work, we establish a connection between the extended Prelle–Singer procedure with
five other analytical methods which are widely used to identify integrable systems in the …

In this work, it is proved that any degenerate center is limit of a linear type center and when
the degenerate center has an analytic first integral then it is limit of an analytic linear type …

We present a description of isochronous centres of planar vector fields X by means of their
groups of symmetries. More precisely, given a normalizer U of X (ie,[X, U]= µX, where µ is a …

In this paper, we prove that the C 1 planar differential systems that are integrable and non-
Hamiltonian roughly speaking are C 1 equivalent to the linear differential systems ̇ u= u, ̇ …

Linearization of analytic isochronous centers from a given commutator Page 1 J. Math. Anal.
Appl. 339 (2008) 740–745 www.elsevier.com/locate/jmaa Linearization of analytic isochronous …

In this work, we carry out a detailed study on the linearization of isochronous centre of a
modified Emden equation with linear external forcing. We construct inverse integrating factor …