PDI - Resultado de Búsqueda

Francisco Crespo Cutillas

Asistente A

Universidad del Bío-Bío

Concepción, Chile

Continuous Dynamical System Hamiltonian Dynamics Geometric Mechanics Celestial Mechanics Astrodynamics

Licenciatura en Matemáticas, UNIVERSIDAD DE MURCIA. España, 2003
Máster Universitario en Informática y Matemática Aplicadas en Ciencias e Ingeniería, UNIVERSIDAD DE MURCIA. España, 2009
Programa oficial de postgrado en informática y matemática aplicadas en ciencias e ingeniería, UNIVERSIDAD DE MURCIA. España, 2015

Asistente A Full Time

UNIVERSIDAD DEL BIO-BIO

Facultad de Ciencias

Concepción, Chile

2016 - A la fecha

Jefe del Departamento de Matemáticas

Centro de Enseñanza Secundaria. Colegio Monteagudo

España

2008 - 2015
Research Scholar

University of Colorado at Boulder

Estados Unidos

2015 - 2016
Arquitecto de software Full Time

Accenture

Madrid, España

2004 - 2008

Ph. D. thesis
1.- Jorge Zapata. Defended 2020
''Analytic and Geometric Techniques for Non-Integrable Dynamical Systems. Applications to Perturbed Keplerian Models''
Universidad del Bio-Bío, Chile
Adviser

2.- Antonio Cantero. In progress
''Mathematical Models for the Full Gravitational 2-Body Problem. A Perturbative Scheme by Stages''
Universidad de Murcia, Spain
Co-adviser

3.- Jersson Villafañe. In progress
”Regular and Singular Geometric Reduction of Circle Bundles as Source for Nu-
merical Control. Applications to the Full Gravitational 2-Body Problem”
Universidad del Bio-Bío, Chile
Adviser

MSc Thesis
1.- Azucena Caicedo. Defended 2019
''Integrabilidad de Darboux en Sistemas Hamiltonianos y Aplicaciones'' Universidad del Bío-Bío, Chile
Co-adviser

2.- Dilver E. Espejo. Defended 2018
''Formas Normales y Estabilidad de Soluciones de Equilibrio en Sistemas Hamiltonianos con Parte Lineal no Diagonalizable''
Universidad del Bío-Bío, Chile
Co-adviser

3.- Edward Turner. In progress
''Problema Restringido Completo de N-Cuerpos. Reducción y Reconstrucción de la Dinámica Roto-Orbital''. Universidad del Bío-Bío, Chile
Adviser


(SO(3)×T4)-Reduction and relative equilibria for a radial axisymmetric intermediary model for roto-orbital motion van der Meer J.C. Article SCOPUS Journal of Geometry and Physics (2020)
Alternative Reduction by Stages of Keplerian Systems. Positive, Negative, and Zero Energy Article SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2020)
Bifurcations in the quasispecies model for cancer growth dynamics Article SCOPUS NONLINEAR STUDIES (2020)
McGehee Blow-Up of the Kepler Problem on Surfaces of Constant Curvature Article Qualitative Theory of Dynamical Systems (2020)
Normalization and Existence of Invariant Ray Solutions of a 2-DOF Autonomous Hamiltonian System with Null Frequencies Article Qualitative Theory of Dynamical Systems (2020)
Relative Equilibria, Stability and Bifurcations in Hamiltonian Galactic-Tidal Models. Article ISI DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL (2020)
Relative equilibria of an intermediary model for the roto-orbital dynamics. The low rotation regime Zapata J.L.; Molero F.J. Article ISI SCOPUS ADVANCES IN SPACE RESEARCH (2019)
A Radial Axial-symmetric Intermediary Model for the Roto-orbital Motion Ferrer, S; Scheeres, DJ Article ISI SCOPUS JOURNAL OF THE ASTRONAUTICAL SCIENCES (2018)
ALTERNATIVE ANGLE-BASED APPROACH TO THE KS-MAP. AN INTERPRETATION THROUGH SYMMETRY AND REDUCTION Article ISI SCOPUS JOURNAL OF GEOMETRIC MECHANICS (2018)
Roto-orbital dynamics of a triaxial rigid body around a sphere. Relative equilibria and stability Article ISI SCOPUS ADVANCES IN SPACE RESEARCH (2018)
The Triaxiality Role in the Spin-Orbit Dynamics of a Rigid Body Cantero, A. Article Applied Mathematics and Nonlinear Sciences (2018)
A Note on Reparametrizations of the Euler Equations Molero, Francisco Javier; Crespo, Francisco; Ferrer, Sebastián Article Qualitative Theory of Dynamical Systems (2016)
Generalized Hopf fibration and geometric SO(3) reduction of the 4DOF harmonic oscillator van der Meer, Jan Cees; Crespo, Francisco; Ferrer, Sebastián Article REPORTS ON MATHEMATICAL PHYSICS (2016)
On the N-Extended Euler system. Generalised Jacobi Elliptic Functions Ferrer, Sebastián; Crespo, Francisco; Molero, Francisco Javier Article NONLINEAR DYNAMICS (2016)
POISSON AND INTEGRABLE SYSTEMS THROUGH THE NAMBU BRACKET AND ITS JACOBI MULTIPLIER Crespo, F; Molero F.J.; Ferrer, S Article ISI SCOPUS JOURNAL OF GEOMETRIC MECHANICS (2016)
Poisson and symplectic reductions of 4–DOF isotropic oscillators. The van der Waals system as benchmark Díaz-Toca, G. Article Applied Mathematics and Nonlinear Sciences (2016)
On the extended Euler system and the Jacobi and Weierstrass elliptic functions Crespo, Francisco; Ferrer, Sebastián Article Journal of Geometric Mechanics (2015)
Parametric Quartic Hamiltonian Model. A Unified Treatment of Classic Integrable Systems Ferrer, Sebastián; Crespo, Francisco Article Journal of Geometric Mechanics (2014)


PERTURBATIVE ANALYSIS OF ORBITAL AND ROTATIONAL DYNAMICS IN THE PRESENCE OF SYMMETRIES. GENERALISATION OF ELLIPTIC FUNCTIONS FOR EFFICIENT COMPUTATION FONDECYT (11160224) Proyecto 2016-2019 Inv. Principal
Métodos numéricos y analíticos en sistemas dinámicos=> Aplicaciones en biomatemáticas y dinámica Hamiltoniana. Ministerio de Economía y competitividad. España. (MTM2015-64095-P) Proyecto 2015-2017 Coinvestigador(a)
The Strength of Rubble Pile NEO and Mitigation Implications. NASA. USA. (NNX14AL16G) Proyecto 2013-2017 Postdoctorado
Sistemas hamiltonianos roto-traslatorios perturbados. Aplicaciones a pequeños cuerpos del sistema solar. Fundación Séneca. Región de Murcia, España. (12006/PI/09) Proyecto 2009-2014 Tesista

Francisco Crespo

Asistente A

Departamento de matemáticas

Universidad del Bío-Bío

Concepción, Chile

Jorge Zapata

Docente y coordinador

Matemática

Universidad del Bío-Bío

Concepción, Chile

Francisco Crespo Cutillas

Líneas de Investigación

Educación

Licenciatura en Matemáticas, UNIVERSIDAD DE MURCIA. España, 2003

Máster Universitario en Informática y Matemática Aplicadas en Ciencias e Ingeniería, UNIVERSIDAD DE MURCIA. España, 2009

Programa oficial de postgrado en informática y matemática aplicadas en ciencias e ingeniería, UNIVERSIDAD DE MURCIA. España, 2015

Experiencia Académica

Asistente A Full Time

Experiencia Profesional

Jefe del Departamento de Matemáticas

Research Scholar

Arquitecto de software Full Time

Formación de Capital Humano

Article (18)

(SO(3)×T4)-Reduction and relative equilibria for a radial axisymmetric intermediary model for roto-orbital motion

Alternative Reduction by Stages of Keplerian Systems. Positive, Negative, and Zero Energy

Bifurcations in the quasispecies model for cancer growth dynamics

McGehee Blow-Up of the Kepler Problem on Surfaces of Constant Curvature

Normalization and Existence of Invariant Ray Solutions of a 2-DOF Autonomous Hamiltonian System with Null Frequencies

Relative Equilibria, Stability and Bifurcations in Hamiltonian Galactic-Tidal Models.

Relative equilibria of an intermediary model for the roto-orbital dynamics. The low rotation regime

A Radial Axial-symmetric Intermediary Model for the Roto-orbital Motion

ALTERNATIVE ANGLE-BASED APPROACH TO THE KS-MAP. AN INTERPRETATION THROUGH SYMMETRY AND REDUCTION

Roto-orbital dynamics of a triaxial rigid body around a sphere. Relative equilibria and stability

The Triaxiality Role in the Spin-Orbit Dynamics of a Rigid Body

A Note on Reparametrizations of the Euler Equations

Generalized Hopf fibration and geometric SO(3) reduction of the 4DOF harmonic oscillator

On the N-Extended Euler system. Generalised Jacobi Elliptic Functions

POISSON AND INTEGRABLE SYSTEMS THROUGH THE NAMBU BRACKET AND ITS JACOBI MULTIPLIER

Poisson and symplectic reductions of 4–DOF isotropic oscillators. The van der Waals system as benchmark

On the extended Euler system and the Jacobi and Weierstrass elliptic functions

Parametric Quartic Hamiltonian Model. A Unified Treatment of Classic Integrable Systems

Proyecto (4)

PERTURBATIVE ANALYSIS OF ORBITAL AND ROTATIONAL DYNAMICS IN THE PRESENCE OF SYMMETRIES. GENERALISATION OF ELLIPTIC FUNCTIONS FOR EFFICIENT COMPUTATION

Métodos numéricos y analíticos en sistemas dinámicos=> Aplicaciones en biomatemáticas y dinámica Hamiltoniana.

The Strength of Rubble Pile NEO and Mitigation Implications.

Sistemas hamiltonianos roto-traslatorios perturbados. Aplicaciones a pequeños cuerpos del sistema solar.

Francisco Crespo

Jorge Zapata