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Article
On the parameter dependence of the real cubic surfaces in arnold’s form
We consider the topological classification of cubic surfaces which are obtained as intersection of the sphere \(\mathbb{S}^3 \) ...
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Article
n-1 independent first integrals for linear differential systems in R n and C n
We prove that every linear system with constant coefficients on R n or C n is Darboux integrable by providing a complete explicit list ofn−1 i...
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Article
Location of the Real Cubic Surfaces in the Parameter Space
We consider the space \({\mathcal C}\) of non-singular cubic surfaces W(a, b, c, d) which are obtained as intersectio...
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Article
On the Dynamics of Mechanical Systems with the Homogeneous Polynomial Potential V = ax 4 + cx 2 y 2
This paper is devoted to analyze certain dynamical aspects of the planar mechanical system associated to the potential V = ax 4 + cx 2 y ...
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Article
Symmetric horseshoe periodic orbits in the general planar three-body problem
We present some families of horseshoe periodic orbits in the general planar three-body problem for the case of two equal masses. The considered system is a symmetric version of the one formed by Saturn, Janus ...
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Article
Symmetric Periodic Orbits and Schubart Orbits in The Charged Collinear Three-Body Problem
Using analytic continuation of periodic orbits and symmetries we construct symmetric periodic solutions in the charged collinear three-body problem for the case where the outer particles are sufficiently small...
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Article
Schubart Solutions in the Charged Collinear Three-Body Problem
In this paper, we study the existence of Schubart-like periodic solutions in a charged collinear three-body problem by applying the notion of turning points and some continuity arguments. We proved the existen...
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Article
On the Regularities of the Polar Profiles of Proteins Related to Ebola Virus Infection and their Functional Domains
The number of fatalities and economic losses caused by the Ebola virus infection across the planet culminated in the havoc that occurred between August and November 2014. However, little is known about the mol...
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Article
Hopf and Bautin bifurcations in a generalized Lengyel–Epstein system
A generalized Lengyel–Epstein oscillating reaction model is proposed and analyzed. The existence of limit cycles is proved using Hopf and Bautin bifurcation theory. We analyze the dynamics of the well known ch...
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Article
Dynamics of a Discrete-Time Predator–Prey System with Holling II Functional Response
The dynamics behavior of a discrete-time predator–prey system, with Holling II functional response, is analyzed. The model shows a rich dynamical behavior in the feasible region. Some invariant sets are found ...