H. Giacomini

发表

On the nonexistence, existence and uniqueness of limit cycles

Jaume Llibre, Mireille Viano, J. Llibre, 1996 .

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 .

A New Algorithm for Finding Rational First Integrals of Polynomial Vector Fields

Antoni Ferragut, A. Ferragut, H. Giacomini, 2010 .

Necessary conditions for the existence of invariant algebraic curves for planar polynomial systems

Maite Grau, Javier Chavarriga, M. Grau, 2005 .

NUMBER OF LIMIT CYCLES OF THE LIENARD EQUATION

S. Neukirch, H. Giacomini, 1997, chao-dyn/9705006.

Effective construction of Poincaré-Bendixson regions

M. Grau, A. Gasull, H. Giacomini, 2017 .

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 .

Susceptibility of the Kagomé lattice Ising model

H. Giacomini, M. Débauche, 1990 .

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

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

A new uniqueness criterion for the number of periodic orbits of Abel equations

A. Gasull, A. Gasull, M. J. Alvarez, 2006, math/0602468.

An algorithmic method to determine integrability for polynomial planar vector fields

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

NUMBER OF LIMIT CYCLES OF THE LIENARD EQUATION

S. Neukirch, H. Giacomini, 1997, chao-dyn/9705006.

New criteria for the existence and non-existence of limit cycles in Liénard differential systems

J. Llibre, A. Gasull, H. Giacomini, 2009 .

BIFURCATION VALUES FOR A FAMILY OF PLANAR VECTOR FIELDS OF DEGREE FIVE

A. Gasull, H. Giacomini, J. D. Garc'ia-Saldana, 2012, 1202.1919.

A proof of Perkoʼs conjectures for the Bogdanov-Takens system

A. Gasull, J. Torregrosa, H. Giacomini, 2013, 1303.2065.

COMMENT ON: LIENARD SYSTEMS, LIMIT CYCLES, AND MELNIKOV THEORY. AUTHOR'S REPLY

M. Sanjuán, S. Neukirch, H. Giacomini, 1999 .

Effectiveness of the Bendixson–Dulac theorem

A. Gasull, H. Giacomini, 2021, Journal of Differential Equations.

Explicit non-algebraic limit cycles for polynomial systems

A. Gasull, H. Giacomini, France, 2005, math/0505464.

Explicit upper and lower bounds for the traveling wave solutions of Fisher-Kolmogorov type equations

A. Gasull, J. Torregrosa, H. Giacomini, 2011, 1112.0269.

J C A P 1 0 ( 2 0 1 9 ) 0 5 4 ournal of C osmology and A stroparticle P hysics

H. Giacomini, B. Boisseau, 2019 .

Generalized Hopf Bifurcation for Planar Vector Fields via the Inverse Integrating Factor

M. Grau, H. Giacomini, I. A. García, 2009, 0902.0681.

On the stability of periodic orbits for differential systems in $\mathbb{R}^n$

M. Grau, A. Gasull, H. Giacomini, 2006, math/0610151.

Exact results for a checkerboard Ising model with crossing and four-spin interactions

H. Giacomini, 1985 .

Explicit travelling waves and invariant algebraic curves

A. Gasull, H. Giacomini, 2013, 1305.2775.

On the stability of limit cycles for planar differential systems

M. Grau, H. Giacomini, 2005, math/0505027.

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 .

Arbitrary order bifurcations for perturbed Hamiltonian planar systems via the reciprocal of an integrating factor

J. Llibre, H. Giacomini, Mireille Viano, 2002 .

SUFFICIENT CONDITIONS FOR THE EXISTENCE OF A CENTER IN POLYNOMIAL SYSTEMS OF ARBITRARY DEGREE

H. Giacomini, M. Ndiaye, 1996 .

Number of Limit Cycles for Planar Systems with Invariant Algebraic Curves

A. Gasull, H. Giacomini, 2022, Qualitative Theory of Dynamical Systems.

Explicit upper and lower bounds for the traveling wave solutions of Fisher-Kolmogorov type equations

A. Gasull, J. Torregrosa, H. Giacomini, 2011, 1112.0269.

An exactly solvable two-dimensional Ising model with magnetic field

H. Giacomini, P. Azaria, 1988 .

On the susceptibility of the generalised square lattice Ising model

H. Giacomini, 1989 .

COMMENT: Self-duality relation for a three-dimensional spin-1/2 lattice system

H. Giacomini, 1985 .

Self-duality and distribution of zeros for spin systems

H. Giacomini, 1986 .

The role of algebraic solutions in planar polynomial differential systems

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

ALGEBRAIC APPROXIMATIONS TO BIFURCATION CURVES OF LIMIT CYCLES FOR THE LIENARD EQUATION

Sébastien Neukirch, S. Neukirch, H. Giacomini, 1997, chao-dyn/9707002.

NUMBER OF LIMIT CYCLES OF THE LIENARD EQUATION

S. Neukirch, H. Giacomini, 1997, chao-dyn/9705006.

Analytical approximation schemes for solving exact renormalization group equations in the local potential approximation

C. Bervillier, C. Bervillier, H. Giacomini, 2007, 0706.0990.

A new dynamical approach of Emden-Fowler equations and systems

H. Giacomini, Marie-Franccoise Bidaut-V'eron, 2010, Advances in Differential Equations.

The shape of attractors for 3-D dissipative dynamical systems

S. Neukirch, H. Giacomini, 2000 .

Analytical approximation schemes for solving exact renormalization group equations. II Conformal mappings

C. Bervillier, C. Bervillier, H. Giacomini, 2008, 0802.1970.

Exact results for a random frustrated Ising model on the Kagomé lattice

J. Riera, H. Giacomini, 1987 .

Duality transformations for spin-1/2 lattice systems

H. Giacomini, 1985 .

Bifurcation diagram and stability for a one-parameter family of planar vector fields

A. Gasull, H. Giacomini, J. D. Garc'ia-Saldana, 2013, 1304.2163.

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.

On the vanishing set of inverse integrating factors

H. Giacomini, L. R. Berrone, 2000 .

NEW SUFFICIENT CONDITIONS FOR A CENTER AND GLOBAL PHASE PORTRAITS FOR POLYNOMIAL SYSTEMS

H. Giacomini, H. Giacomini, M. Ndiaye, 1996 .

An exact result for the Kagome lattice Ising model with magnetic field

H. Giacomini, 1988 .

An exact functional relation for the partition function of a 2D Ising model with magnetic field

H. Giacomini, 1988 .

Generalized Nonlinear Superposition Principles for Polynomial Planar Vector Fields

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

Bouncing universes in scalar-tensor gravity around conformal invariance

D. Polarski, H. Giacomini, B. Boisseau, 2016, 1603.06648.

Bouncing universes in scalar-tensor gravity models admitting negative potentials

A. Starobinsky, D. Polarski, H. Giacomini, 2015, 1504.07927.

An analytical approximation scheme to two-point boundary value problems of ordinary differential equations

Bruno Boisseau, H. Giacomini, P. Forgács, 2006, hep-th/0611306.

Disorder solutions and the star-triangle relation

H. Giacomini, 1986 .

Integrals of motion and the shape of the attractor for the Lorenz model

S. Neukirch, H. Giacomini, 1997, chao-dyn/9702016.

Integrals of motion for three-dimensional non-Hamiltonian dynamical systems

O. P. Zandron, H. Giacomini, Hector Giacomini, 1991 .

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 .

Analytic nilpotent centers as limits of nondegenerate centers revisited

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

Some results on homoclinic and heteroclinic connections in planar systems

A. Gasull, J. Torregrosa, H. Giacomini, 2009, 0912.3490.

EXACTLY SOLVED FRUSTRATED MODELS: REENTRANCE AND PHASE DIAGRAM

H. Diep, H. Giacomini, 1994 .

Greatest least eigenvalue of the Laplacian on the Klein bottle

M. Jazar, H. Giacomini, A. E. Soufi, 2005, math/0506585.

FRUSTRATION — EXACTLY SOLVED FRUSTRATED MODELS

H. Diep, H. Giacomini, 2013, Frustrated Spin Systems.

A new uniqueness criterion for the number of periodic orbits of Abel equations

A. Gasull, H. Giacomini, M. Álvarez, 2006, math/0602468.

Invariants of particle motion in one-dimensional time-dependent potentials

H. Giacomini, 1990 .

Reentrance and disorder solutions in exactly solvable Ising models

H. Diep, H. Giacomini, M. Débauche, 1992 .

Inverse Jacobi multipliers

Lucio R. Berrone, H. Giacomini, Hector Giacomini, 2003 .

A unique extremal metric for the least eigenvalue of the Laplacian on the Klein bottle

M. Jazar, H. Giacomini, A. Soufi, 2006, math/0701773.

Inflationary models that generalize the constant roll constraint

H. Giacomini, B. Boisseau, 2018, Journal of Cosmology and Astroparticle Physics.

Transversal conics and the existence of limit cycles

M. Grau, H. Giacomini, 2014, 1410.4480.

Scalar field cosmologies with inverted potentials

D. Polarski, H. Giacomini, B. Boisseau, 2015, 1507.00792.

On the stability of periodic orbits for differential systems in Rn.∗

M. Grau, A. Gasull, H. Giacomini, 2006 .

O ct 2 00 6 On the stability of periodic orbits for differential systems in R n . ∗

M. Grau, A. Gasull, H. Giacomini, 2006 .

Proving the existence of numerically detected planar limit cycles

M. Grau, A. Gasull, H. Giacomini, 2016, 1602.00113.

When is the growth index constant?

A. Starobinsky, D. Polarski, H. Giacomini, 2016, 1610.00363.

Qualitative dynamical properties of a phantom field with an arbitrary potential

H. Giacomini, L. Lara, 2006 .

A New Criterion for Controlling the Number of Limit Cycles of Some Generalized Liénard Equations

A. Gasull, H. Giacomini, 2002 .

Uniqueness of Algebraic Limit Cycles for Quadratic Systems

J. Llibre, H. Giacomini, J. Chavarriga, 2001 .

The inverse integrating factor and the Poincaré map

M. Grau, H. Giacomini, I. A. García, 2007, 0710.3238.

Semistable Limit Cycles that Bifurcate from Centers

Jaume Llibre, Hector Giacomini, Mireille Viano, 2003, Int. J. Bifurc. Chaos.

Finding gaps in a spectrum

A. Mouchet, H. Giacomini, 2007, 0706.3800.

Integrable Hamiltonians with higher transcendental invariants

H. Giacomini, 1990 .

Liouvillian first integrals for the planar Lotka-Volterra system

Jaume Llibre, J. Llibre, H. Giacomini, 2003 .

Some Applications of the Extended Bendixson-Dulac Theorem

A. Gasull, H. Giacomini, 2013, 1305.3402.

New soluble case of the q-state vertex model

H. Giacomini, 1986 .