To Appear

Jaume Llibre

Personal Information

		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 Icrea Acade mia Awarded 2009 (2010-2015) Narcís Monturiol Medal 2015 from Catalan government. Editor-in-Chief Qualitative Theory of Dynamical Systems Editor Annals of Differential Equations Applicationes Mathematicae Boletín de la Sociedad Matemática Mexicana Journal of Applied Analysis and Computation Journal of Difference Equations and Applications Journal of Nonlinear Modeling and Analysis Nonlinear Analysis: Real World and Applications Former Editor Applied Mathematics and Nonlinear Science Citations Google Scholar Citations Page Scopus Publons ORCID zbMATH(Open)

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Current PhD Theses:

Quadratic systems with invariant algebraic curves. Integrability and phase portraits (Provisional Title)

Student:

Limit cycles in distinct classes of differential systems (Provisional Title)

Student:

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:

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:

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:

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:

Defense date:

1997-09-19

Equacions diferencials al pla: sistemes hamiltonians, foliacions polinomials i estabilitat estructural

Student:

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:

Defense date:

1994-05-04

Òrbites periòdiques en problemes de n-cossos

Student:

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:

Defense date:

1989-05-04

Indices of polynomial vector fields with applications

Student:

Defense date:

1987-11-04

Estructura periòdica i entropía topològica de les aplicacions bimodals

Student:

Defense date:

1987-10-27

Estudi qualitatiu d'alguns camps vectorials al pla

Student:

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:

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:

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 (55)

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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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