World's Best Scientists 2026 revealed!
Award Badge
Mathematics
Spain
2026

D-Index & Metrics

Mathematics

D-Index
66
Citations
21080
World Ranking
353
National Ranking
5

Research.com Recognitions

  • 2026 - Research.com Mathematics in Spain Leader Award
  • 2025 - Research.com Mathematics in Spain Leader Award
  • 2022 - Research.com Mathematics in Spain Leader Award

Overview

Jaume Llibre is affiliated with the Autonomous University of Barcelona in Spain, focusing on research at the intersection of mathematics and physics. Their primary academic contributions revolve around advanced differential equations, dynamical systems, and nonlinear phenomena.

They have published extensively on topics including:

  • Advanced Differential Equations and Dynamical Systems
  • Quantum Chaos and Dynamical Systems
  • Nonlinear Waves and Solitons
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Advanced Differential Geometry Research
  • Mathematical Dynamics and Fractals
  • Nonlinear Dynamics and Pattern Formation

Llibre's work spans the main fields of Mathematics and Physics and Astronomy, with a significant number of publications in the subfields of Geometry and Topology, Statistical and Nonlinear Physics, Astronomy and Astrophysics, Public Health, Environmental and Occupational Health, and Mathematical Physics.

The focus of their recent research is reflected in several publications, including:

  • Global centers of the generalized polynomial Liénard differential systems, 2022, Journal of Differential Equations
  • Non-existence, existence, and uniqueness of limit cycles for a generalization of the Van der Pol-Duffing and the Rayleigh-Duffing oscillators, 2020, Physica D Nonlinear Phenomena
  • Limit Cycles in Planar Piecewise Linear Hamiltonian Systems with Three Zones Without Equilibrium Points, 2020, International Journal of Bifurcation and Chaos
  • The planar discontinuous piecewise linear refracting systems have at most one limit cycle, 2021, Nonlinear Analysis Hybrid Systems
  • Global Topological Configurations of Singularities for the Whole Family of Quadratic Differential Systems, 2020, Qualitative Theory of Dynamical Systems

Llibre frequently collaborates with other researchers, particularly with:

  • Clàudìa Valls
  • Rebiha Benterki
  • Shimin Li
  • Jaume Giné
  • Jean-Marc Ginoux

Among the venues where Llibre's work appears most often are the International Journal of Bifurcation and Chaos, arXiv (Cornell University), Chaos Solitons & Fractals, Differential Equations and Dynamical Systems, and the Journal of Differential Equations.

Best Publications

  • Qualitative Theory of Planar Differential Systems

    Freddy Dumortier;Joan Carles Artés Ferragud;Jaume Llibre

  • Combinatorial Dynamics and Entropy in Dimension One

    Lluís Alsedà;Jaume Llibre;Michal Misiurewicz

  • Averaging methods for finding periodic orbits via Brouwer degree

    Adriana Buică;Jaume Llibre

  • Multiplicity of invariant algebraic curves in polynomial vector fields

    Colin Christopher;Jaume Llibre;Jorge Vitório Pereira

  • On the nonexistence, existence and uniqueness of limit cycles

    H Giacomini;J Llibre;M Viano

  • Periodic solutions of nonlinear periodic differential systems with a small parameter

    Adriana Buică;Jean–Pierre Françoise;Jaume Llibre

  • Tranversality of the invariant manifolds associated to the Lyapunov family of periodic orbits near L2 in the restricted three-body problem

    Jaume Llibre;Regina Martínez;Carles Simó

  • Bounded polynomial vector fields

    Anna Cima;Jaume Llibre

  • On the optimal station keeping control of halo orbits

    C. Simó;G. Gómez;J. Llibre;R. Martínez

  • Higher order averaging theory for finding periodic solutions via Brouwer degree

    Jaume Llibre;Douglas D. Novaes;Douglas D. Novaes;Marco Antonio Teixeira

  • Rotation vectors and entropy for homeomorphisms of the torus isotopic to the identity

    J. Llibre;R. S. Mackay

  • THREE NESTED LIMIT CYCLES IN DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH TWO ZONES

    Jaume Llibre;Enrique Ponce

  • Limit cycles for a class of Abel equations

    A. Gasull;J. Llibre

  • Darboux theory of integrability in Cn taking into account the multiplicity

    Jaume Llibre;Xiang Zhang

  • Averaging theory for discontinuous piecewise differential systems

    Jaume Llibre;Ana Cristina Mereu;Douglas D. Novaes

  • Horseshoes, entropy and periods for graph maps

    Jaume Llibre;Michał Misiurewicz;Michał Misiurewicz

  • On the Integrability of Two-Dimensional Flows

    Javier Chavarriga;Hector Giacomini;Jaume Giné;Jaume Llibre

  • Darboux integrability and the inverse integrating factor

    Javier Chavarriga;Hector Giacomini;Jaume Giné;Jaume Llibre

  • Algebraic and topological classification of the homogeneous cubic vector fields in the plane

    Anna Cima;Jaume Llibre

  • The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems

    Hector Giacomini;Jaume Giné;Jaume Llibre

Frequent Co-Authors

Jaume Giné
Jaume Giné University of Lleida
Juan Luis García Guirao
Juan Luis García Guirao Polytechnic University of Cartagena
Carles Simó
Carles Simó University of Barcelona
Michał Misiurewicz
Michał Misiurewicz Indiana University – Purdue University Indianapolis
Armengol Gasull
Armengol Gasull Autonomous University of Barcelona
Luis Barreira
Luis Barreira University of Lisbon
Robert S. MacKay
Robert S. MacKay University of Warwick
Maoan Han
Maoan Han Zhejiang Normal University
Wei Gao
Wei Gao Yunnan Normal University
Leon O. Chua
Leon O. Chua University of California, Berkeley

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students studying Mathematics in the USA, there are several valuable online degree options that complement and expand career opportunities. Many professionals pursue an transfer credits for online MBA programs, allowing them to leverage previous coursework and accelerate their education. This flexibility can be a perfect fit for math graduates looking to transition into business leadership roles.

Another growing field is data science and analytics. An MS in data analytics offers specialized skills in interpreting complex data sets, which is highly relevant for mathematicians aiming to enter tech, finance, or research sectors.

For those considering business studies but concerned about admission competitiveness, exploring MBA programs easy to get into can provide accessible pathways to enhance leadership credentials without intensive entry requirements.

Additionally, many students seek options that balance quality and convenience. The list of easy online MBA programs highlights flexible, affordable programs suitable for math majors who wish to enhance their qualifications while managing work or personal commitments.

Best Scientists Citing Jaume Llibre

Trending Scientists

Recently Published Articles