PUBLICATIONS

25.- F. Crespo, D.E. Espejo,  J. C. van der Meer,'' R^3xSO(3)xT^6-Reduction, relative equilibria, and bifurcations for the full averaged model of two interacting rigid bodies", SIAM Journal on Applied Dynamical Systems

(to appear 2023).

 

24.-J. Andrade, S. Boatto, F. Crespo, D.E. Espejo, ''On the Stability of Ring Relative Equilibrium in the N-body Problem on S2 with Hodge Potential'', Canadian Journal of Mathematics ( to appear 2023).

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23.- F. Crespo and E. Turner, '' Poisson Structure and Reduction by Stages of the Full Gravitational N-Body Problem'', SIAM Journal on Applied Dynamical Systems (2022). Paper

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22.- J.L. Zapata, E. Martínez, F. Crespo, ''Modified quasispecies model: the analysis of a periodic therapy'', Journal of Mathematical Biology (2022). Paper

 

21.- F. Crespo, J.L. Zapata, S. Rebollo, ''Addition theorems for Ck real functions and applications
in ordinary differential equations'', Aequationes Mathematicae (2021). Paper

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20.- S. Ferrer, F. Crespo, ''On Moser’s Regularization of the Kepler System. Positive and Negative Energies'', Canadian Mathematical Bulletin​ (2020). Paper

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19.-  S. Ferrer, F. Crespo, J.L. Zapata, ''Reduced 4D Oscillators and Orbital Elements in Keplerian Systems. Cushman-Deprit Coordinates'', Celestial Mechanics and Dynamical Astronomy (2020). Paper

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18.- J. L. Zapata, F. Crespo, S. Ferrer, ''Stability and Bifurcations in Hamiltonian Galactic-Tidal Models'', Dynamical Systems: An International Journal (2020). Paper

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17.- F. Crespo, ''Bifurcations in the Quasispecies Model for Cancer Growth Dynamics'', Nonlinear Studies, 27 (2), 357-366, (2020). Paper

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16.- F. Crespo, S. Ferrer, ''Alternative reduction by stages of  Keplerian systems. Positive, negative and zero energy'', SIAM Journal on Applied Dynamical Systems (2020). Paper

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15.- J. Andrade, F. Crespo, P. Martínez and C. Vidal, ''McGehee Blow-Up of the Kepler Problem on Surfaces of Constant Curvature'', Qualitative Theory of Dynamical Systems, 19, 13 (2020). Paper

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14.- F. Crespo, D. E. Espejo and C. Vidal ''Normalization and Existence of Invariant Ray Solutions of a 2-DOF Autonomous Hamiltonian System with Null Frequencies'', Qualitative Theory of Dynamical Systems 19, 18 (2020). Paper

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13.- F. Crespo, S. Ferrer, and J.C. van der Meer, ''(SO(3) × T4)-Reduction and relative equilibria for a radial axisymmetric intermediary model for roto-orbital motion'', Journal of Geometry and Physics, 150 (2020). Paper

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12.- J.L. Zapata, F. Crespo, S. Ferrer, and F.J. Molero, ''Relative equilibria of an intermediary model for the roto-orbital dynamics. The low rotation regime'',

Advances in Space Research 64, 1317–1330, (2019). Paper

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11.- F. Crespo and S. Ferrer, “Roto-orbital dynamics of a triaxial rigid body around a sphere. Relative equilibria and stability”, Advances in Space Research, 61: 2725-2739, (2018). Paper

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10.- A. Cantero, F. Crespo, and S. Ferrer, “Triaxiality Role in the Spin-Orbit Dynamics of a Rigid Body,” Applied Mathematics and Nonlinear Sciences, 3, 1: 187-208, (2018). Paper

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9.- S. Ferrer and F. Crespo, “Alternative Angle-Based Approach to the KS-Map. An interpretation through Symmetry”, Journal of Geometric Mechanics, 10, 3: 359-372, (2018). Paper

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8.- F. Crespo, F. J. Molero, S. Ferrer and D. J. Scheeres, “A Radial Axial-symmetric Intermediary Model for the Roto-orbital Motion,” J. of Astronautical Science, 65: 1-28, (2017). Paper

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7.- F. J. Molero, F. Crespo and S. Ferrer, “A Note on Reparametrizations of the Euler Equations”, Qual. Theory Dyn. Syst., 16: 453–466, (2017). Paper

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6.- J. C. van der Meer, F. Crespo, S. Ferrer, “Generalized Hopf Fibration and Geometric SO(3) Reduction of the 4DOF Harmonic Oscillator”, Report on Mathematical Physics , 77, 2, (2016). Paper

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5.- F. Crespo, F. J. Molero and S. Ferrer, “Poisson and Integrable systems through the Nambu Bracket and its Jacobi Multiplier”, Journal of Geometric Mechanics, 8, 2: 169–178, (2016). Paper

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4.- S. Ferrer, F. Crespo and F. J. Molero, “On the N-extended Euler System: Generalized Jacobi Elliptic Functions”, Nonlinear Dynamic , 84: 413–435, (2016). Paper

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3.- F. Crespo, G. Díaz–Toca, S. Ferrer and M. Lara, “Poisson and symplectic reductions of 4−DOF isotropic oscillators. e van der Waals system as benchmark”, Applied Mathematics and Nonlinear Sciences, 1, 2: 473–492, (2016). Paper

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2.- S. Ferrer, F. Crespo, “On the Extended Euler Systems and the Jacobi and Weierstrass Elliptic Functions”, Journal of Geometric Mechanics, 7, 2: 151-168, (2015). Paper

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1.- S. Ferrer, F. Crespo, “Parametric Quartic Hamiltonian Model. A Unified Treatment of Classic Integrable Systems”, Journal of Geometric Mechanics, 6, 4: 479-502, (2014). Paper