Jaume Llibre

Professor

University of Barcelona

Spain

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About

Jaume Llibre is a Professor at Universitat Autònoma de Barcelona, Spain. His research primarily focuses on dynamical systems, nonlinear oscillators, and differential equations, as evidenced by his recent publications. Key areas of exploration include phase portrait classification, limit cycles, and the dynamics of polynomial differential systems.

Articles (16)

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2025

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2025

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2025

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2024

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2024

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2023

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2023

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2023

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2023

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2023

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2022

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2021

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2021

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2021

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2020

Collaborators (2)

JUAN L.G. GUIRAO

Full Professor

Universidad Politécnica de Cartagena

SPAIN

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Set Pérez-González

University of Oviedo

SPAIN

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Jaume Llibre

Research Interests

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About

Articles (16)

New Exploration of Phase Portrait Classification of Quadratic Polynomial Differential Systems Based on Invariant Theory

On the Dynamics of a Modified van der Pol–Duffing Oscillator

The Global Dynamics of the Painlevé–Gambier Equations XVIII, XXI, and XXII

Rigid Polynomial Differential Systems with Homogeneous Nonlinearities

Limit Cycles of Discontinuous Piecewise Differential Hamiltonian Systems Separated by a Straight Line

The Solution of the Extended 16th Hilbert Problem for Some Classes of Piecewise Differential Systems

On the Periodic Orbits of the Perturbed Two- and Three-Body Problems

Periodic Orbits of Quantised Restricted Three-Body Problem

Phase Portraits of Families VII and VIII of the Quadratic Systems

Symmetric Phase Portraits of Homogeneous Polynomial Hamiltonian Systems of Degree 1, 2, 3, 4, and 5 with Finitely Many Equilibria

Limit Cycles of Polynomially Integrable Piecewise Differential Systems

Invariant Algebraic Curves of Generalized Liénard Polynomial Differential Systems

Global Dynamics of the Hořava–Lifshitz Cosmological Model in a Non-Flat Universe with Non-Zero Cosmological Constant

Integrability and Limit Cycles via First Integrals

Limit Cycles of Planar Piecewise Differential Systems with Linear Hamiltonian Saddles

On the Zero-Hopf Bifurcation of the Lotka–Volterra Systems in <i>R</i><sup>3</sup>

Collaborators (2)

JUAN L.G. GUIRAO

Set Pérez-González

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Jaume Llibre

Research Interests

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About

Articles (16)

New Exploration of Phase Portrait Classification of Quadratic Polynomial Differential Systems Based on Invariant Theory

On the Dynamics of a Modified van der Pol–Duffing Oscillator

The Global Dynamics of the Painlevé–Gambier Equations XVIII, XXI, and XXII

Rigid Polynomial Differential Systems with Homogeneous Nonlinearities

Limit Cycles of Discontinuous Piecewise Differential Hamiltonian Systems Separated by a Straight Line

The Solution of the Extended 16th Hilbert Problem for Some Classes of Piecewise Differential Systems

On the Periodic Orbits of the Perturbed Two- and Three-Body Problems

Periodic Orbits of Quantised Restricted Three-Body Problem

Phase Portraits of Families VII and VIII of the Quadratic Systems

Symmetric Phase Portraits of Homogeneous Polynomial Hamiltonian Systems of Degree 1, 2, 3, 4, and 5 with Finitely Many Equilibria

Limit Cycles of Polynomially Integrable Piecewise Differential Systems

Invariant Algebraic Curves of Generalized Li&eacute;nard Polynomial Differential Systems

Global Dynamics of the Hořava–Lifshitz Cosmological Model in a Non-Flat Universe with Non-Zero Cosmological Constant

Integrability and Limit Cycles via First Integrals

Limit Cycles of Planar Piecewise Differential Systems with Linear Hamiltonian Saddles

On the Zero-Hopf Bifurcation of the Lotka–Volterra Systems in <i>R</i><sup>3</sup>

Collaborators (2)

JUAN L.G. GUIRAO

Set Pérez-González

Make your next move.

Invariant Algebraic Curves of Generalized Liénard Polynomial Differential Systems