Recent Submissions

  • Kahan-Hirota-Kimura maps preserving original cubic hamiltonians 

    Mañosa Fernández, Víctor; Pantazi, Chara (2024-05-02)
    Research report
    Open Access
    In this work we investigate the set of cubic Hamiltonian vector fields for which their associated Kahan-Hirota-Kimura maps preserve the original Hamiltonian function. We analyze these fields in R2 and R4. We also study a ...
  • Software prototype for the Galileo ionospheric correction model: progress report 

    Aragón Ángel, María Ángeles; Zürn, M. (2016-11-15)
    Research report
    Open Access
    The document describing the particular ionospheric model developed for the Galileo satellite navigation system has been officially released [1]. Its publication allows GNSS receiver manufacturers to start the implementation ...
  • Beacon Satellite Symposium: Session 5B - June 30th 2016: Radio occultation techniques and measurements 

    Aragón Ángel, María Ángeles (2016-11-16)
    Research report
    Open Access
    During the Beacon Satellite Symposium, held in Trieste, Italy, between June 26 and July 1 2016, the JRC chaired the session 5B: Radio Occultation Techniques and Measurements. The corresponding abstract of the session is ...
  • Stallings automata and applications : BGSMath graduate course 

    Delgado Rodríguez, Jordi; Ventura Capell, Enric; Weil, Pascal (2023-02-15)
    Research report
    Open Access
    The theory of Stallings automata provides a neat geometric representation of subgroups of the free group, and constitutes the modern —and probably the most natural and fruitful — approach to their study. Moreover, if the ...
  • State-of-art products for real time scintillation monitoring and consolidated requirements for the activity 

    González Casado, Guillermo; Juan Zornoza, José Miguel; Yin, Yu; Timoté Bejarano, Cristhian Camilo; Sanz Subirana, Jaume; Rovira Garcia, Adrià (2022-12-15)
    Research report
    Restricted access - confidentiality agreement
  • On some rational piecewise linear rotations 

    Cima, Anna; Gasull, Armengol; Mañosa Fernández, Víctor; Mañosas, Francesc (2023-06-30)
    Research report
    Open Access
    We study the dynamics of the piecewise planar rotations $F_{\lambda}(z)=\lambda (z-H(z)), $ with $z\in\C$, $H(z)=1$ if $\mathrm{Im}(z)\ge0,$ $H(z)=-1$ if $\mathrm{Im}(z)<0,$ and $\lambda=\mathrm{e}^{i \alpha} \in\C$, being ...
  • On the accumulation points of non-periodic orbits of a difference equation of fourth order 

    Linero Bas, Antonio; Mañosa Fernández, Víctor; Nieves Roldán, Daniel (2023-06-22)
    Research report
    Open Access
    In this paper, we are interested in analyzing the dynamics of the fourth-order difference equation x_{n+4}=max{x_{n+3},x_{n+2},x_{n+1},0}-x_n, with arbitrary real initial conditions. We fully determine the accumulation ...
  • Counting configurations of limit cycles and centers 

    Gasull, Armengol; Guillamon Grabolosa, Antoni; Mañosa Fernández, Víctor (2023-04-10)
    Research report
    Open Access
    We present several results on the determination of the number and distribution of limit cycles or centers for planar systems of differential equations. In most cases, the study of a recurrence is one of the key points of ...
  • Splitting of separatrices for rapid degenerate perturbations of the classical pendulum 

    Baldomá Barraca, Inmaculada; Martínez-Seara Alonso, M. Teresa; Moreno González, Román (2023-02-16)
    Research report
    Open Access
    In this work we study the splitting distance of a rapidly perturbed pendulum H(x, y, t) = 1 2 y 2 + (cos(x) - 1) + µ(cos(x) - 1)g t e with g(t ) = P |k|>1 g [k] e ikt a 2p-periodic function and µ, e 1. Systems of this ...
  • The Arnold conjecture for singular symplectic manifolds 

    Brugués Mora, Joaquin; Miranda Galcerán, Eva; Oms, Cedric (2022-12-02)
    Research report
    Open Access
    In this article, we study the Hamiltonian dynamics on singular symplectic manifolds and prove the Arnold conjecture for a large class of bm-symplectic manifolds. More precisely, we prove a lower bound on the number 1-periodic ...
  • How to avoid repetitions in lattice-based deniable zero-knowledge proofs 

    Arnal i Clemente, Xavier; Cano Aguilera, Abraham; Finogina, Tamara; Herranz Sotoca, Javier (2022-06-23)
    Research report
    Open Access
    Interactive zero-knowledge systems are a very important cryptographic primitive, used in many applications, especially when deniability (also known as non-transferability) is desired. In the lattice-based setting, the ...
  • Hamiltonian facets of classical gauge theories on E-manifolds 

    Mir Garcia, Pau; Miranda Galcerán, Eva; Nicolás Martínez, Pablo (2022-09-21)
    Research report
    Open Access
    Manifolds with boundary, with corners, b-manifolds and foliations model configuration spaces for particles moving under constraints and can be described as E-manifolds. E-manifolds were introduced in [NT01] and investigated ...

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