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  1. No Access

    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 ...

    Carlos F. Arias, Gamaliel Blé, Manuel Falconi in Qualitative Theory of Dynamical Systems (2022)

  2. No Access

    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...

    Luis Miguel Valenzuela, Gamaliel Blé, Manuel Falconi… in Journal of Mathematical Chemistry (2020)

  3. 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...

    Carlos Polanco, José Lino Samaniego Mendoza… in Cell Biochemistry and Biophysics (2018)

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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...

    Alberto Castro Ortega, Manuel Falconi in Journal of Dynamics and Differential Equations (2016)

  5. No Access

    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...

    Alberto Castro Ortega, Manuel Falconi… in Qualitative Theory of Dynamical Systems (2014)

  6. No Access

    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 ...

    Abimael Bengochea, Manuel Falconi, Ernesto Pérez-Chavela in Astrophysics and Space Science (2011)

  7. No Access

    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 ...

    Manuel Falconi, Ernesto Lacomba… in Journal of Dynamics and Differential Equat… (2009)

  8. No Access

    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...

    Manuel Falconi, Ernesto A. Lacomba, Jaume Llibre in Qualitative Theory of Dynamical Systems (2008)

  9. No Access

    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...

    Manuel Falconi, Jaume Llibre in Qualitative Theory of Dynamical Systems (2004)

  10. No Access

    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 \(\mathbb{S}^3 \) ...

    Manuel Falconi, Ernesto A. Lacomba… in Rendiconti del Circolo Matematico di Paler… (2004)