J. Giné

发表

Conditions for the existence of a center for the Kukles homogeneous systems

J. Giné, 2002 .

Preface: To the Memory of Javier Chavarriga

J. Llibre, J. Giné, 2016 .

Limit cycles bifurcating from planar polynomial quasi--homogeneous centers

J. Llibre, J. Giné, M. Grau, 2015 .

On the cyclicity of weight-homogeneous centers

J. Giné, M. Grau, L. Gavrilov, 2007, 0706.2347.

The Nondegenerate Center Problem in Certain Families of Planar Differential Systems

Jaume Giné, Paz de Prada, J. Giné, 2009, Int. J. Bifurc. Chaos.

On some open problems in planar differential systems and Hilbert’s 16th problem

J. Giné, 2007 .

Polynomial and rational first integrals for planar homogeneous polynomial differential systems

J. Llibre, J. Giné, M. Grau, 2013 .

On the Integrability of Two-Dimensional Flows

Jaume Giné, Jaume Llibre, Javier Chavarriga, 1999 .

Darboux integrability and the inverse integrating factor

Jaume Giné, Jaume Llibre, Javier Chavarriga, 2003 .

Dulac Functions of Planar Vector Fields

J. Giné, 2014 .

Center problem for systems with two monomial nonlinearities

J. Giné, A. Gasull, J. Torregrosa, 2016 .

Integrability of a linear center perturbed by a fourth degree homogeneous polynomial

Jaume Giné, Javier Chavarriga, J. Giné, 1996 .

Global C∞ integrability of quartic–linear polynomial differential systems

C. Valls, J. Giné, 2019 .

CENTERS FOR GENERALIZED QUINTIC POLYNOMIAL DIFFERENTIAL SYSTEMS

C. Valls, J. Llibre, J. Giné, 2017 .

Integrable systems via polynomial inverse integrating factors

J. Giné, M. Grau, J. Chavarriga, 2002 .

Local integrability for nilpotent critical point

J. Giné, J. Chavarriga, 1999 .

Integrability of Planar Polynomial Differential Systems through Linear Differential Equations

J. Giné, M. Grau, H. Giacomini, 2005, math/0506035.

2 J un 2 00 5 Integrability of planar polynomial differential systems through linear differential equations . ∗

J. Giné, M. Grau, H. Giacomini, 2005 .

On the origin of the anomalous precession of Mercury’s perihelion

J. Giné, 2005, physics/0510086.

On a new type of bifucation of limit cycles for a planar cubic system

Jaume Giné, Javier Chavarriga, J. Giné, 1999 .

Liouvillian integrability of a general Rayleigh-Duffing oscillator

C. Valls, J. Giné, 2019, Journal of Nonlinear Mathematical Physics.

On the dynamics of the Rayleigh–Duffing oscillator

C. Valls, J. Giné, 2019, Nonlinear Analysis: Real World Applications.

An algorithmic method to determine integrability for polynomial planar vector fields

J. Giné, H. Giacomini, 2006, European Journal of Applied Mathematics.

Darboux Integrability and Limit Cycles for a Class of Polynomial Differential Systems

J. Llibre, J. Giné, 2005 .

Singularity analysis in planar vector fields

J. Giné, 2014 .

On the Formal Integrability Problem for Planar Differential Systems

Jaume Giné, Antonio Algaba, Cristóbal García, 2013 .

Integrability Conditions of a Weak Saddle in a Complex Polynomial Differential System

C. Valls, J. Giné, 2020, Journal of Dynamical and Control Systems.

A Blow-up method to prove formal integrability for some planar differential systems

J. Giné, Brigita Ferčec, B. Ferčec, 2018 .

Integrability Conditions for Complex Homogeneous Kukles Systems

C. Valls, J. Giné, 2018, Journal of Nonlinear Mathematical Physics.

Integrability conditions of a resonant saddle in Liénard-like complex systems

C. Valls, J. Giné, 2016 .

The solution of the 1: -3 resonant center problem in the quadratic case

J. Giné, M. Dukaric, Brigita Ferčec, 2014, Appl. Math. Comput..

Analytic reducibility of nondegenerate centers: Cherkas systems

J. Llibre, J. Giné, 2016 .

Inertial mass from Unruh temperatures

J. Giné, M. McCulloch, 2016 .

Electronic Journal of Qualitative Theory of Differential Equations

J. Llibre, J. Giné, 2019 .

A method for characterizing nilpotent centers

J. Llibre, J. Giné, 2014 .

Integrability of magnetic fields created by current distributions

J. Giné, J. Aguirre, D. Peralta-Salas, 2007 .

Analytic integrability of certain resonant saddle

J. Giné, C. Christopher, 2021, Chaos, Solitons & Fractals.

Integrability conditions of a weak saddle in generalized Liénard-like complex polynomial differential systems

C. Valls, J. Giné, 2020 .

Integrability conditions of a resonant saddle in generalized Liénard-like complex polynomial differential systems

J. Llibre, J. Giné, 2017 .

The center problem for a 1:−4 resonant quadratic system

J. Giné, M. Mencinger, Regilene D. S. Oliveira, 2014 .

Highest weak focus order for trigonometric Liénard equations

C. Valls, J. Giné, A. Gasull, 2019, Annali di Matematica Pura ed Applicata (1923 -).

On the classical descriptions of the quantum phenomena in the harmonic oscillator and in a charged particle under the coulomb force

J. Giné, 2005 .

On the extensions of the Darboux theory of integrability

J. Llibre, J. Giné, M. Grau, 2013 .

On the critical points of the flight return time function of perturbed closed orbits

J. Giné, M. Grau, A. Buica, 2019, Journal of Differential Equations.

Centers for the Kukles homogeneous systems with even degree

C. Valls, J. Llibre, J. Giné, 2017 .

Centers for the Kukles homogeneous systems with odd degree

C. Valls, J. Llibre, J. Giné, 2015 .

Center problem for generic degenerate vector fields

J. Giné, A. Algaba, Cristóbal García, 2022, Nonlinear Analysis.

On the origin of the deflection of light

J. Giné, 2005, physics/0512121.

On the origin of the anomalous precession of Mercury’s perihelion

J. Giné, 2005, physics/0510086.

Inertial mass of an elementary particle from the holographic scenario

J. Giné, 2017 .

Modified Hawking effect from generalized uncertainty principle

J. Giné, 2020, Communications in Theoretical Physics.

Modified inertia from extended uncertainty principle(s) and its relation to MoND

J. Giné, G. G. Luciano, 2020, The European Physical Journal C.

Casimir effect and the uncertainty principle

J. Giné, 2018, Modern Physics Letters A.

A note on the Liouvillian integrability and the qualitative properties of the mass rate equation for black holes

J. Giné, D. Peralta-Salas, 2012 .

Gravitational effects on the Heisenberg Uncertainty Principle: A geometric approach

J. Giné, G. G. Luciano, 2021, Results in Physics.

The center problem for Z2-symmetric nilpotent vector fields

J. Llibre, J. Giné, A. Algaba, 2018, Journal of Mathematical Analysis and Applications.

Generalized interacting Barrow Holographic Dark Energy: Cosmological predictions and thermodynamic considerations

J. Giné, G. G. Luciano, 2022, Physics of the Dark Universe.

Non-existence of limit cycles for planar vector fields

J. Giné, 2014 .

Cyclicity versus Center Problem

J. Giné, A. Gasull, 2010 .

Nondegenerate centers and limit cycles of cubic Kolmogorov systems

J. Giné, A. Algaba, Cristóbal García, 2017 .

Center problem for trigonometric Liénard systems

C. Valls, J. Giné, A. Gasull, 2017 .

Integrability of Planar Polynomial Differential Systems through Linear Differential Equations

J. Giné, M. Grau, H. Giacomini, 2005, math/0506035.

An improvement to Darboux integrability theorem for systems having a center

J. Giné, H. Giacomini, J. Chavarriga, 1999 .

On the origin of the gravitational quantization: The Titius–Bode law

J. Giné, 2005, physics/0507072.

Polynomial first integrals of systems in the plane with center type linear part

J. Giné, J. Chavarriga, 1998 .

Criteria on the existence of limit cycles in planar polynomial differential systems

J. Llibre, J. Giné, M. Grau, 2022, Expositiones Mathematicae.

Geometric Criterium in the Center Problem

J. Giné, A. Algaba, Cristóbal García, 2016 .

Small-Amplitude Limit Cycles of Certain Planar Differential Systems

C. Valls, J. Giné, 2020 .

Modeling inertia through the interaction with quantum fluctuations

J. Giné, G. G. Luciano, 2021 .

Generalized Dirac Equation for a particle in a gravitational field

J. Giné, D. Chemisana, Jaime Madrid, 2021, General Relativity and Gravitation.

Time-reversibility and integrability of p:-q resonant vector fields

V. Romanovski, J. Giné, J. Torregrosa, 2022, 2211.12411.

Nondegenerate centers and limit cycles of cubic Kolmogorov systems

J. Giné, A. Algaba, C. García, 2017, Nonlinear Dynamics.

Generalized cofactors and nonlinear superposition principles

Jaume Giné, Isaac A. García, J. Giné, 2003, Appl. Math. Lett..

Analytic integrability inside a family of degenerate centers

J. Giné, A. Algaba, I. Checa, 2016 .

Quantum Fluctuations and the N-Slit Interference

J. Giné, D. Chemisana, Jaime Madrid, 2020, International Journal of Theoretical Physics.

Quantum fluctuations and the double-slit experiment

J. Giné, 2019, Modern Physics Letters A.

The role of algebraic solutions in planar polynomial differential systems

Maite Grau, J. Giné, M. Grau, 2005, Mathematical Proceedings of the Cambridge Philosophical Society.

Einstein versus Lorentz and Poincaré: Open questions of credit

J. Giné, 2010 .

Cosmological Consequences of the Holographic Scenario

J. Giné, 2013 .

The phenomenological version of modified Newtonian dynamics from the relativity principle of motion

J. Giné, 2012 .

Integrability of Liénard systems with a weak saddle

J. Giné, A. Gasull, 2017 .

Essential variables in the integrability problem of planar vector fields

J. Giné, Xavier Santallusia, 2011 .

Puiseux Integrability of Differential Equations

C. Valls, J. Giné, M. Demina, 2022, Qualitative Theory of Dynamical Systems.

A new sufficient condition in order that the real Jacobian conjecture in R2 holds

J. Llibre, J. Giné, 2021, Journal of Differential Equations.

Center conditions for nilpotent cubic systems using the Cherkas method

Jaume Giné, J. Giné, 2016, Math. Comput. Simul..

Centers and isochronous centers for generalized quintic systems

Jaume Giné, Jaume Llibre, Cláudia Valls, 2015, J. Comput. Appl. Math..

On the Center conditions for analytic Monodromic degenerate Singularities

Jaume Giné, Jaume Llibre, J. Llibre, 2012, Int. J. Bifurc. Chaos.

A necessary condition in the monodromy problem for analytic differential equations on the plane

Jaume Giné, Isaac A. García, Maite Grau, 2006, J. Symb. Comput..

Integrability, degenerate centers, and limit cycles for a class of polynomial differential systems

Jaume Giné, Jaume Llibre, J. Llibre, 2006, Comput. Math. Appl..

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

Jaume Llibre, J. Llibre, J. Giné, 2005, math/0506116.

Characterization of isochronous foci for planar analytic differential systems

Jaume Giné, Maite Grau, J. Giné, 2005, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

On the Dynamics of Higgins-Selkov, Selkov and Brusellator Oscillators

J. Giné, 2022, Symmetry.

Integrability of the Tolman–Oppenheimer–Volkoff equation

C. Valls, J. Giné, Najmeh Khajoei, 2022, Nonlinear Analysis: Real World Applications.

Strongly formal Weierstrass non-integrability for polynomial differential systems in C 2

J. Llibre, J. Giné, 2020 .

Liénard Equation and Its Generalizations

Jaume Giné, J. Giné, 2017, Int. J. Bifurc. Chaos.

Reduction of integrable planar polynomial differential systems

Jaume Giné, J. Giné, 2012, Appl. Math. Lett..

A note on Liouvillian integrability

Jaume Giné, Jaume Llibre, J. Llibre, 2012 .

Weierstrass integrability in Liénard differential systems

Jaume Giné, Jaume Llibre, J. Llibre, 2011 .

Abel differential equations admitting a certain first integral

J. Giné, Xavier Santallusia, 2010 .

Weierstrass integrability of differential equations

Jaume Giné, Maite Grau, J. Giné, 2009, Appl. Math. Lett..

Non-algebraic invariant curves for polynomial planar vector fields

Jaume Giné, Isaac A. García, J. Giné, 2004 .

Generalized Nonlinear Superposition Principles for Polynomial Planar Vector Fields

J. Giné, H. Giacomini, I. A. García, 2004 .

Integrability of Centers Perturbed by Quasi-Homogeneous Polynomials

Jaume Giné, Isaac A. García, Javier Chavarriga, 1997 .

A sufficient condition in order that the real Jacobian conjecture in R2 holds

J. Llibre, J. Giné, F. Braun, 2016 .

Integrability Conditions for Lotka-Volterra Planar Complex Quartic Systems Having Homogeneous Nonlinearities

Jaume Giné, Yirong Liu, Brigita Ferčec, 2013 .

Isochronicity into a family of time-reversible cubic vector fields

Jaume Giné, Isaac A. García, Javier Chavarriga, 2001, Appl. Math. Comput..

Isochronous centers of a linear center perturbed by fourth degree homogeneous polynomial

Jaume Giné, Isaac A. García, Javier Chavarriga, 1999 .

Center problem with characteristic directions and inverse integrating factors

J. Giné, I. A. García, 2022, Commun. Nonlinear Sci. Numer. Simul..

Generalized nonlinear superposition principles for planar polynomial vector fields

J. Giné, 2005 .

Towards a quantum universe

J. Giné, 2012, 1201.1813.

What justifies the existence of a cosmological horizon?

J. Giné, 2020 .

The stable limit cycles: A synchronization phenomenon

Jaume Giné, J. Giné, 2013, J. Frankl. Inst..

Corrigendum to: “The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems” [J. Differential Equations 227 (2006) 406–426]

J. Llibre, J. Giné, H. Giacomini, 2007 .

Local analytic integrability for nilpotent centers

Jaume Giné, Jaume Llibre, Javier Chavarriga, 2003, Ergodic Theory and Dynamical Systems.

A New Normal Form for Monodromic Nilpotent Singularities of Planar Vector Fields

Jaume Giné, Antonio Algaba, Cristóbal García, 2021, Mediterranean Journal of Mathematics.

Analytic nilpotent centers as limits of nondegenerate centers revisited

J. Llibre, J. Giné, H. Giacomini, 2016 .

Analytic Integrability of Some Examples of Degenerate Planar Vector Fields

J. Giné, A. Algaba, C. García, 2016 .

Reversible nilpotent centers with cubic homogeneous nonlinearities

J. Llibre, J. Giné, M. Dukarić, 2016 .

Analytic Integrability of Some Examples of Degenerate Planar Vector Fields

J. Giné, A. Algaba, C. García, 2014, Acta Applicandae Mathematicae.

Analytic integrability for some degenerate planar vector fields

J. Giné, A. Algaba, C. García, 2014 .

Analytic integrability for some degenerate planar systems

J. Giné, A. Algaba, C. García, 2013 .

Lie symmetries and the center problem

J. Giné, 2011 .

On the degenerate Center Problem

Jaume Giné, J. Giné, 2011, Int. J. Bifurc. Chaos.

Analytic nilpotent centers with analytic first integral

J. Giné, I. A. García, 2010 .

The center problem via averaging method

Jaume Giné, Isaac A. García, J. Giné, 2009 .

Isochronous centers of a linear center perturbed by fifth degree homogeneous polynomials

Jaume Giné, Isaac A. García, Javier Chavarriga, 2000 .

Integrability of a linear center perturbed by a fifth degree homogeneous polynomial

J. Giné, Javier Chavarriga Soriano, Jaume Giné Mesa, 1997 .

Baryogenesis in non-extensive Tsallis Cosmology

J. Giné, G. G. Luciano, 2022, Physics Letters B.

Linearizability and integrability of vector fields via commutation

Jaume Giné, Maite Grau, J. Giné, 2006 .

Analytically integrable system orbitally equivalent to a semi-quasihomogeneous system

J. Giné, A. Algaba, M. Reyes, 2023, Nonlinear Analysis.

On the Origin of the Inertial Force and Gravitation

J. Giné, 2011 .

Cosmological Consequences of the Holographic Scenario

J. Giné, 2013 .

Nilpotent centres via inverse integrating factors

J. Giné, A. Algaba, C. García, 2016, European Journal of Applied Mathematics.

Higher order limit cycle bifurcations from non-degenerate centers

Jaume Giné, J. Giné, 2012, Appl. Math. Comput..

Dirac equation from the extended uncertainty principle

J. Giné, D. Chemisana, Jaime Madrid, 2021, Physica Scripta.

The Pioneer anomaly and the holographic scenario

J. Giné, 2011, 1108.3565.

On the determination of the limit cycles using the harmonic balance method

J. Giné, 2013 .

A counterexample to the composition condition conjecture for polynomial Abel differential equations

J. Giné, M. Grau, Xavier Santallusia, 2017, Ergodic Theory and Dynamical Systems.

Nonlinear oscillations in the modified Leslie–Gower model

C. Valls, J. Giné, 2020 .

Composition Conditions In The Trigonometric Abel Equation

J. Giné, M. Grau, Xavier Santallusia, 2013 .

Universal centres and composition conditions

J. Llibre, J. Giné, M. Grau, 2013 .

The center problem and composition condition for Abel differential equations

J. Giné, M. Grau, Xavier Santallusia, 2016 .

Universal centers in the cubic trigonometric Abel equation

J. Giné, M. Grau, Xavier Santallusia, 2014 .

Orbitally universal centers

J. Llibre, J. Giné, A. Algaba, 2020 .

On the Multiplicity of Algebraic Limit Cycles

J. Giné, M. Grau, Belen García, 2012 .

On the Multiplicity of Algebraic Limit Cycles

J. Giné, M. Grau, Belen García, 2012, Journal of Dynamics and Differential Equations.

On the Mechanisms for Producing Linear Type Centers in Polynomial Differential Systems

J. Llibre, J. Giné, 2018 .

Towards a fractal universe

J. Giné, 2012 .

On the origin of the inertia: The modified Newtonian dynamics theory

J. Giné, 2009 .

PERIODIC SOLUTIONS FOR NONLINEAR DIFFERENTIAL SYSTEMS: THE SECOND ORDER BIFURCATION FUNCTION

Jaume Giné, Jaume Llibre, J. Llibre, 2016 .

On Liouvillian integrability of the first–order polynomial ordinary differential equations

Jaume Giné, Jaume Llibre, J. Llibre, 2012 .

A second order analysis of the periodic solutions for nonlinear periodic differential systems with a small parameter

Jaume Giné, Jaume Llibre, J. Llibre, 2012 .

On the first integrals in the center problem

J. Giné, 2013 .

The reversibility and the center problem

Jaume Giné, Susanna Maza, J. Giné, 2011 .

Integrability conditions for Lotka–Volterra planar complex quintic systems

Jaume Giné, Valery G. Romanovski, V. Romanovski, 2010 .

Minimum number of ideal generators for a linear center perturbed by homogeneous polynomials

Jaume Giné, J. Giné, Josep Mallol, 2009 .

On the origin of quantum mechanics

J. Giné, 2005, physics/0505181.

Blow-up method to compute necessary conditions of integrability for planar differential systems

Jaume Giné, Brigita Fercec, J. Giné, 2019, Appl. Math. Comput..

Analytic integrability around a nilpotent singularity

J. Giné, A. Algaba, C. García, 2018, Journal of Differential Equations.

Integrability conditions for complex kukles systems

C. Valls, J. Giné, 2017 .

Integrability of complex planar systems with homogeneous nonlinearities

Jaume Giné, Valery G. Romanovski, Victor F. Edneral, 2016 .

Integrability conditions of a resonant saddle perturbed with homogeneous quintic nonlinearities

C. Valls, J. Giné, 2015, Nonlinear Dynamics.

Centers for a class of generalized quintic polynomial differential systems

Jaume Giné, Jaume Llibre, Cláudia Valls, 2014, Appl. Math. Comput..

Integrability Conditions for Lotka-Volterra Planar Complex Quartic Systems Having Homogeneous Nonlinearities

Jaume Giné, Zhibek Kadyrsizova, Yirong Liu, 2011, Acta Applicandae Mathematicae.

Limit cycle bifurcations from a non-degenerate center

Jaume Giné, J. Giné, 2012, Appl. Math. Comput..

The 1: -q resonant center problem for certain cubic Lotka-Volterra systems

Xingwu Chen, V. Romanovski, J. Giné, 2012, Appl. Math. Comput..

The center problem for a 2: -3 resonant cubic Lotka-Volterra system

Jaume Giné, Valery G. Romanovski, Diana Dolicanin, 2013, Appl. Math. Comput..

The Resonant Center Problem for a 2: -3 Resonant Cubic Lotka-Volterra System

Jaume Giné, Valery G. Romanovski, Mateja Presern, 2012, CASC.

The nondegenerate center problem and the inverse integrating factor

Jaume Giné, J. Giné, 2006 .

Analytic integrability around a nilpotent singularity: The non-generic case

J. Giné, A. Algaba, M. Díaz, 2020, Communications on Pure & Applied Analysis.

Linearizability of planar polynomial Hamiltonian systems

V. Romanovski, J. Giné, Barbara Arcet, 2022, Nonlinear Analysis: Real World Applications.

On Lie's symmetries for planar polynomial differential systems

J. Giné, J. Chavarriga, I. A. García, 2001 .

Multiplicity of limit cycles and analytic m-solutions for planar differential systems

J. Giné, M. Grau, A. Gasull, 2007 .

The Center Problem for a Linear Center Perturbed by Homogeneous Polynomials

J. Giné, 2006 .

Polynomial first integrals via the Poincaré series

J. Giné, 2005 .

Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities

Jaume Giné, Jaume Llibre, J. Llibre, 2004 .

Highest weak focus order for trigonometric Liénard equations

C. Valls, J. Giné, A. Gasull, 2019, Annali di Matematica Pura ed Applicata (1923 -).

Dulac Functions of Planar Vector Fields

J. Giné, 2014, Qualitative Theory of Dynamical Systems.

On the number of algebraically independent Poincaré-Liapunov constants

Jaume Giné, J. Giné, 2007, Appl. Math. Comput..

Analytic integrability and characterization of centers for nilpotent singular points

J. Giné, 2004 .

Analytic integrability and characterization of centers for generalized nilpotent singular points

Jaume Giné, J. Giné, 2004, Appl. Math. Comput..

Orbital Reversibility of Planar Vector Fields

J. Giné, A. Algaba, C. García, 2020, Mathematics.

Limit cycles of cubic polynomial vector fields via the averaging theory

Jaume Giné, Jaume Llibre, J. Llibre, 2007 .

A Class of Reversible Cubic Systems with an Isochronous Center

Jaume Giné, Jaume Llibre, Javier Chavarriga, 1999 .

THE HOLOGRAPHIC SCENARIO, THE MODIFIED INERTIA AND THE DYNAMICS OF THE UNIVERSE

J. Giné, 2012 .

Averaging methods of arbitrary order, periodic solutions and integrability

J. Llibre, J. Giné, Kesheng Wu, 2016 .

Deriving quantised inertia using horizon-widths in the uncertainty principle

J. Giné, M. McCulloch, 2020, Advanced Studies in Theoretical Physics.

On the polynomial limit cycles of polynomial differential equations

J. Llibre, J. Giné, M. Grau, 2011 .

A family of isochronous foci with Darboux first integral

Jaume Giné, Jaume Llibre, J. Llibre, 2005 .