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Darboux invariants for planar polynomial differential systems having an invariant conic
(Springer, 2014-12-01)
We characterize all the planar polynomial differential systems with a unique invariant algebraic curve given by a real conic and having a Darboux invariant.
Finding invariant tori in the problem of a periodically corrugated waveguide
(Sociedade Brasileira de Física, 2008-03-01)
Some dynamic properties for a light ray suffering specular reflections inside a periodically corrugated waveguide are studied. The dynamics of the model is described in terms of a two dimensional nonlinear area preserving ...
Finding invariant tori in the problem of a periodically corrugated waveguide
(Sociedade Brasileira de Física, 2008-03-01)
Some dynamic properties for a light ray suffering specular reflections inside a periodically corrugated waveguide are studied. The dynamics of the model is described in terms of a two dimensional nonlinear area preserving ...
On the persistence of invariant curves for smooth fibred holomorphic dynamics
(FRENCH MATHEMATICAL SOC, 2010)
On the persistence of invariant curves for smooth fibred holomorphic dynamics We establish the persistence of an invariant curve for a smooth fibered holomorphic dynamical system, provided that a diophantine condition for ...
Finding invariant tori in the problem of a periodically corrugated waveguide
(Sociedade Brasileira de Física, 2013)
ON FOLIATIONS WITH RATIONAL FIRST INTEGRAL
(Universidad Católica del Norte, Departamento de Matemáticas, 2005)
Topological invariants of isolated complete intersection curve singularities
(SPRINGER HEIDELBERG, 2009)
In this paper we present some formulae for topological invariants of projective complete intersection curves with isolated singularities in terms of the Milnor number, the Euler characteristic and the topological genus. ...
Normal forms and global phase portraits of quadratic and cubic integrable vector fields having two nonconcentric circles as invariant algebraic curves
(2017-07-03)
In this paper, we give the normal form of all planar polynomial vector fields of degree d ≤ 3 having two nonconcentric circles C1 and C2 as invariant algebraic curves and the function H=Cβ 1 Cα 2, with α and β real values, ...