Jaume Llibre

Personal Information
Picture profile
Position: Emeritus Professor at UAB
Email: Jaume.Llibre@uab.cat
Research Center: Universitat Autònoma de Barcelona
Phone: +34 93581 1303
Location:

Departament de Matemàtiques
Facultat de Ciències
Universitat Autònoma de Barcelona
Avinguda Eix Central, Edifici C
08193 Cerdanyola del Vallés
Barcelona
Research Areas: Discrete Dynamical Systems, Dynamical systems and ordinary differential equations, Qualitative theory of differential equations, Celestial Mechanics

Fields of Interest:

Celestial Mechanics, Discrete Dynamical Systems and Ordinary Differential Equations.

Awards:

Editor-in-Chief of

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Citations:

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Current PhD Theses:

Quadratic systems with invariant algebraic curves. Integrability and phase portraits (Provisional Title)
Student:
Huaxin Ou
Limit cycles in distinct classes of differential systems (Provisional Title)
Student:
Jie Li
Limit cycles of discontinuous piecewise differential systems separated by a non–regular line and formed by an arbitrary linear center and quadratic centers (Provisional Title)
Student:
Baymout Louiza
Limit cycles of continuous and discontinuous piecewise differential systems separated by straight line and formed by two arbitrary quadratic centers (Provisional Title)
Student:
Imane Benabdallah

Adviced PhD Theses:

Contributions to the study of periodic orbits and invariant manifolds in dynamical systems
Student:
Clara Cufí-Cabré
Defense date:
2023-02-15
Crossing limit cycles for planar piecewise linear differential separated by curves
Student:
Anacleto Hoyos, María Elisa
Defense date:
2022-07-20
Qualitative dynamics of planar and spatial Lotka-Volterra and Kolmogorov systems
Student:
Érika Diz Pita
Defense date:
2022-07-06
On the crossing limit cycles for piecewise linear differential systems on the plane
Student:
Jeidy Johana Jimenez Ruiz
Defense date:
2019-12-05
Qualitative theory of differential equations in the plane and in the space, with emphasis on the center-focus problem and on the Lotka-Volterra systems
Student:
Valentin Ramirez
Defense date:
2019-11-26
On classical results for discontinuous and constrained differential systems
Student:
Lucyjane de Almeida Silva Menezes
Defense date:
2019-08-27
Invariant curves on differential systems defined in R^2 , n ≥ 2
Student:
Camila A. B. Rodrigues
Defense date:
2019-01-17
New Results in Averaging Theory and its Applications
Student:
Murilo R Cândido
Defense date:
2018-07-17
Dynamics of polynomial and rational differential equations with emphasis in the Hamiltonian centers, rational potential, limits cycles and homogeneous systems
Student:
Yohanna P. Martínez
Defense date:
2018-03-15
Periodic Orbits of Differential Systems via the Averaging Theory with Special Emphasis on Hamiltonian Systems
Student:
Fatima E. Lembarki
Defense date:
2016-12-16
Uniform Isochronous Centers of Degrees 3 and 4 and their Perturbations
Student:
Jackson Itikawa
Defense date:
2015-07-22
Regularization and mininum sets for nonsmooth dynamical systems
Student:
Douglas D. Novaes
Defense date:
2015-07-06
Hamiltonian linear type centers and nilpotent centers of linear plus cubic polynomial vector fields
Student:
Ilker Colak
Defense date:
2014-10-10
Generalizaciones de la Teoría de Integrabilidad de Darboux para Campos de Vectores Polinomiales
Student:
Yudy M. Bolaños
Defense date:
2013-07-22
Integrable polynomial differential systems and their perturbations
Student:
Adam Mahdi
Defense date:
2008-10-13
Polynomial inverse integrating factors of quadratic differential systems and other results
Student:
Antoni Ferragut
Defense date:
2006-07-13
Homogeneous polynomial vector fields on S^2
Student:
Claudio G. Pessoa
Defense date:
2006-06-29
Inverse problems of the Darboux theory of integrability for planar polynomial differential systems
Student:
Chara Pantazi
Defense date:
2004-07-16
Clasificación topológica de una familia de campos vectoriales lineales a trozos simétricos en el plano
Student:
Antonio E. Teruel
Defense date:
2000-07-18
Periodic and quasi-periodic motions for the spatial isosceles 3-body problem
Student:
Montserrat Corbera
Defense date:
1999-09-30
The foliation of the phase space for the 3-dimensional Kepler problem
Student:
Marcia P. Dantas
Defense date:
1998-12-21
Dinámica del problema restringido isósceles de 3 cuerpos en dimensión uno con primarios en órbita de colisión elíptica
Student:
Martha Alvarez
Defense date:
1997-09-19
Equacions diferencials al pla: sistemes hamiltonians, foliacions polinomials i estabilitat estructural
Student:
Xavier Jarque
Defense date:
1995-10-17
Dinàmica de quatre problemes restringits de 3 cossos amb energia no-negativa
Student:
Josep Maria Cors
Defense date:
1995-05-04
Conjunt de períodes i nucli de periodicitat total per aplicacions contínues unidimensionals
Student:
Maria C. Leseduarte
Defense date:
1995-05-04
Estudi del flux d'un problema restringit de quatre cossos
Student:
Dante L. Maranhão
Defense date:
1995-05-04
Conjuntos minimales de períodos para aplicaciones continuas de grafos via homologia
Student:
Ana Sa
Defense date:
1994-05-04
Òrbites periòdiques en problemes de n-cossos
Student:
Jaume Soler
Defense date:
1991-05-03
Sistemes diferencials quadràtics
Student:
Joan Carles Artés
Defense date:
1990-04-04
El paper del pensament crític en l'aprenentatge del càlcul aritmètic
Student:
Josep Lamarca
Defense date:
1989-05-04
Separatrix surfaces of Hamiltonian Systems with 2 degrees of freedom
Student:
Ana Nunes
Defense date:
1989-05-04
Indices of polynomial vector fields with applications
Student:
Anna Cima
Defense date:
1987-11-04
Estructura periòdica i entropía topològica de les aplicacions bimodals
Student:
Pere Mumbrú
Defense date:
1987-10-27
Estudi qualitatiu d'alguns camps vectorials al pla
Student:
Bartomeu Coll
Defense date:
1987-05-04
Estudi qualitatiu d'alguns problemes restringits de 3 ó 4 cossos
Student:
Conchita Piñol
Defense date:
1987-05-04
Contribució a l'estudi dels sistemes polinomials amb part no lineal homogènia i als sistemes cúbics cordals
Student:
Marc Carbonell
Defense date:
1987-05-04
Estudi qualitatiu d'algunes classes d'equacions diferencials al pla
Student:
Armengol Gasull
Defense date:
1986-04-04
Órbitas periódicas y entropía topológica de las aplicaciones contínuas del intervalo y de la circunferencia
Student:
Lluís Alsedà
Defense date:
1984-05-04
Análisis cualitativo del problema anisotrópico de Kepler
Student:
Josefina Casasayas
Defense date:
1984-05-04
Estudio cualitativo del flujo en el problema plano isósceles de 3 cuerpos
Student:
Regina Martínez
Defense date:
1983-05-04
Continuous and Discrete Dynamical Systems: Bifurcations, periodic orbits, integrability and applications (PID2022-136613NB-I00)
Dynamical Systems: Theory, mathematical modelization and applications (2021SGR00113)
Estudio de los sistemas dinàmicos continuos y discretos con énfasis en sus bifurcaciones, órbitas periòdicas e integrabilidad. (PID2019-104658GB-I00)
Contributions to codimension k bifurcations in dynamical systems theory - Dynamics (Dynamics-H2020-MSCA-RISE-2017-777911)
Algunos aspectos de la dinamica local y global de los sistemas dinamicos continuos y discretos: integrabilidad, periodicidad y bifurcaciones (MTM2016-77278-P FEDER)
GSDUAB Grup de Recerca Consolidat i Finançat (2017SGR1617)
Grup de Sistemes Dinàmics de la UAB (2014SGR568)
Research Program on Central Configurations, Periodic Orbits and Beyond in Celestial Mechanics
Algunos aspectos de la dinámica global de los sistemas diferenciales: Integrabilidad, Soluciones periódicas y Bifurcaciones (MTM2013-40998-P)
Dynamical systems and their applications (FP7-PEOPLE-2012-IRSES-316338)
Brazilian-European partnership in Dynamical Systems (FP7-PEOPLE-2012-IRSES-318999)
Servers of the mathematical department network
Teoría cualitativa de las ecuaciones diferenciales II (PHB2009-0025-PC / 4782)
Grup de Sistemes Dinàmics de la UAB (2009SGR410)
Órbitas periódicas, bifurcaciones e integrabilidad de los sistemas dinámicos (MTM2008-03437)
Estudio cualitativo de los sistemas dinámicos con énfasis en sus bifurcaciones (MTM2005-06098-C02-1)
On Hilbert's 16th problem (MTM2005-24557-E)
Advanced Course on limit cycles of differential equations (MTM2005-23971-E)
Grup de Sistemes Dinàmics i Teoria Qualitativa de la UAB (2005SGR00550)
On Hilbert's 16th problem
Teoría cualitativa de Ecuaciones Diferenciales (PHB2003-0043-PC)
Estudio cualitativo de los sistemas dinámicos con énfasis en sus bifurcaciones (DGES BFM2002-04236-C02-2)
Periodic Orbits and Dynamical Systems (HPMT-CT-2001-00247)
Grup de Sistemes Dinàmics i Teoria Qualitativa de la UAB (2001SGR00173)
Limit cycles for planar polynomial vector fields (HPMF-2000-00818)
Symposium on Planar Vector Fields (DGICYT PGC2000-2263-E)
Grup de Sistemes Dinàmics i Teoria Qualitativa de la UAB (1999SGR00349)
Advanced Course on Dynamical Systems (DGICYT CO94-1351)
Semestre de Sistemas Dinámicos (DGICYT CO94-1456)
Teoría cualitativa de los sistemas dinámicos con énfasis en las órbitas periódicas (DGICYT PB96-1153)
Symposium on Planar Vector Fields (DGICYT CO94-0774)
Programa de Infrastructura de Recerca (CIRIT DOGC. 2155)
Teoría cualitativa de los Sistemas Dinámicos (DGICYT PB93-0860)
Contribución al estudio de las órbitas periódicas en los sistemas dinámicos (DGICYT PB90-0695)
Teoria de la iteración, ecuaciones funcionales y dinámica (86400432-DEPUJU1)
Contribución al estudio de los sistemas dinámicos continuos y discretos (DGICYT PB86-0351)
Sistemes Dinámicos y Mecánica Celeste (CAYCIT 3534183.C3)

Invited Talks in Conferences (54)

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Talks at Universities, Research centers, ... (3)

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Organized events (10)

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Delivered Advanced and Master Courses (1)

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Attended Advanced Courses (1)

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Research Visits (97)

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