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19952022
most citedToward a global description of the nucleus-nucleus interaction

595 citations

Showing 2014Show all

9 papers · 1 filter

math.DS2014★ 66 cited

On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line

Rodrigo D. Euzébio, Jaume Llibre

In this paper we study the maximum number of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line. More…

math.CV2014★ 29 cited

Radii of starlikeness and convexity of some -Bessel functions

Árpád Baricz, Dimitar K. Dimitrov, István Mező

Geometric properties of the Jackson and Hahn-Exton -Bessel functions are studied. For each of them, three different normalizations are applied in such a way that the resulting f…

math.CA2014★ 39 cited

Radii of starlikeness of some special functions

Árpád Baricz, Dimitar K. Dimitrov, Halit Orhan +1

Geometric properties of the classical Lommel and Struve functions, both of the first kind, are studied. For each of them, there different normalizations are applied in such a way t…

math.CA2014★ 17 cited

Para-orthogonal polynomials on the unit circle satisfying three term recurrence formulas

Cleonice F. Bracciali, Alagacone Sri Ranga, Anbhu Swaminathan

When a nontrivial measure on the unit circle satisfies the symmetry then the associated OPUC, say , are all real. In this case, Delsarte a…

math.DS2014★ 3 cited

Bifurcation of limit cycles from a non-smooth perturbation of a two-dimensional isochronous cylinder

Claudio A. Buzzi, Rodrigo D. Euzebio, Ana C. Mereu

Detect the birth of limit cycles in non-smooth vector fields is a very important matter into the recent theory of dynamical systems and applied sciences. The goal of this paper is…

math.DS2014★ 21 cited

Chaotic Planar Piecewise Smooth Vector Fields With Non Trivial Minimal Sets

Claudio Buzzi, Tiago de Carvalho, Rodrigo Euzebio

In this paper some aspects on chaotic behavior and minimality in planar piecewise smooth vector fields theory are treated. The occurrence of non-deterministic chaos is observed and…

math.DS2014★ 30 cited

Zero-Hopf bifurcation in a Chua system

Jaume Llibre, Rodrigo Euzebio

A zero-Hopf equilibrium is an isolated equilibrium point whose eigenvalues are and . In general for a such equilibrium there is no theory for knowing when from it…

math.DS2014★ 12 cited

Zero-Hopf bifurcation in the FitzHugh-Nagumo system

Claudio Vidal, Jaume Llibre, Rodrigo Euzebio

We characterize the values of the parameters for which a zero--Hopf equilibrium point takes place at the singular points, namely, (the origin), and in the FitzHugh-…

math.DS2014★ 4 cited

Periodic Solutions of the extended Duffing-Van der Pol Oscillator

Rodrigo Euzebio, Jaume Llibre

In this paper some aspects on the periodic solutions of the extended Duffing-Van der Pol oscillator are discussed. Doing different rescaling of the variables and parameters of the…