Maite Grau

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All published works

Action	Title	Year	Authors
+ PDF Chat	A Polynomial System of Degree Four with an Invariant Square Containing At Least Five Limit Cycles	2024	Maite Grau Iván Szántó
+	Criteria on the existence of limit cycles in planar polynomial differential systems	2022	Jaume Giné Maite Grau Jaume Llibre
+	On the critical points of the flight return time function of perturbed closed orbits	2019	Adriana Buică Jaume Giné Maite Grau
+ PDF Chat	A counterexample to the composition condition conjecture for polynomial Abel differential equations	2018	Jaume Giné Maite Grau Xavier Santallusia
+ PDF Chat	Localizing Limit Cycles: From Numeric to Analytical Results	2018	Armengol Gasull Héctor Giacomini Maite Grau
+	A counterexample to the composition condition conjecture for polynomial Abel differential equations	2017	Jaume Giné Maite Grau Xavier Santallusia
+	EFFECTIVE CONSTRUCTION OF POINCAR&#201;-BENDIXSON REGIONS	2017	Armengol Gasull Maite Grau
+	A counterexample to the composition condition conjecture for polynomial Abel differential equations	2017	Jaume Giné Maite Grau Xavier Santallusia
+	The center problem and composition condition for Abel differential equations	2015	Jaume Giné Maite Grau Xavier Santallusia
+	Limit cycles bifurcating from planar polynomial quasi-homogeneous centers	2015	Jaume Giné Maite Grau Jaume Llibre
+	Transversal conics and the existence of limit cycles	2015	Héctor Giacomini Maite Grau
+	Essential perturbations of polynomial vector fields with a period annulus	2015	Adriana Buică Jaume Giné Maite Grau
+	Divergence and Poincaré–Liapunov constants for analytic differential systems	2015	Maite Grau Jaume Llibre
+	Essential perturbations of polynomial vector fields with a period annulus	2014	Adriana Buică Jaume Giné Maite Grau
+ PDF Chat	Polynomial and rational first integrals for planar homogeneous polynomial differential systems	2014	Jaume Giné Maite Grau J. Llibre
+	Universal centers in the cubic trigonometric Abel equation	2014	Jaume Giné Maite Grau Xavier Santallusia
+	Essential perturbations of polynomial vector fields with a period annulus	2014	Adriana Buică Jaume Giné Maite Grau
+ PDF Chat	On the extensions of the Darboux theory of integrability	2013	Jaume Giné Maite Grau Jaume Llibre
+ PDF Chat	Averaging theory at any order for computing periodic orbits	2013	Jaume Giné Maite Grau Jaume Llibre
+	COMPOSITION CONDITIONS IN THE TRIGONOMETRIC ABEL EQUATION	2013	Maite Grau Xavier Santallusia
+	Polynomial and rational first integrals for planar quasi--homogeneous polynomial differential systems	2013	Jaume Giné Maite Grau Jaume Llibre
+	A note on Liouvillian first integrals and invariant algebraic curves	2012	Jaume Giné Maite Grau Jaume Llibre
+ PDF Chat	Universal centres and composition conditions	2012	Jaume Giné Maite Grau Jaume Llibre
+	On the Multiplicity of Algebraic Limit Cycles	2012	Belén García Jaume Giné Maite Grau Jesús S. Pérez del Rı́o
+ PDF Chat	Generalized Hopf Bifurcation for Planar Vector Fields via the Inverse Integrating Factor	2011	Isaac A. García Héctor Giacomini Maite Grau
+ PDF Chat	On the polynomial limit cycles of polynomial differential equations	2011	Jaume Giné Maite Grau Jaume Llibre
+	First integrals and Darboux polynomials of natural polynomial Hamiltonian systems	2010	Isaac A. García Maite Grau Jaume Llibre
+ PDF Chat	A Chebyshev criterion for Abelian integrals	2010	Maite Grau Francesc Mañosas Jordi Villadelprat
+ PDF Chat	A Survey on the Inverse Integrating Factor	2010	Isaac A. García Maite Grau
+ PDF Chat	The inverse integrating factor and the Poincaré map	2010	Isaac A. García Héctor Giacomini Maite Grau
+	Weierstrass integrability of differential equations	2010	Jaume Giné Maite Grau
+ PDF Chat	Bifurcation of critical periods from Pleshkan's isochrones	2009	Maite Grau Jordi Villadelprat
+	On the cyclicity of weight-homogeneous centers	2009	Lubomir Gavrilov Jaume Giné Maite Grau
+	Generalized Hopf Bifurcation for planar vector fields via the inverse integrating factor	2009	Isaac A. García Héctor Giacomini Maite Grau
+	A note on linear differential equations with periodic coefficients	2009	Maite Grau Daniel Peralta‐Salas
+	Weierstrass integrability of differential equations	2009	Jaume Giné Maite Grau
+	A survey on the inverse integrating factor	2009	Isaac A. García Maite Grau
+ PDF Chat	On the stability of periodic orbits for differential systems in $\mathbb{R}^n$	2008	Maite Grau Héctor Giacomini Armengol Gasull
+	Linearizable planar differential systems via the inverse integrating factor	2008	Héctor Giacomini Jaume Giné Maite Grau
+	ON THE MULTIPLICITY OF THE CIRCUMFERENCE IN PLANAR POLYNOMIAL VECTOR FIELDS	2008	Jaume Gin� Maite Grau Paz de Prada
+	A Chebyshev criterion for Abelian integrals	2008	Maite Grau Francesc Mañosas Jordi Villadelprat
+	Linearizable ordinary differential equations	2007	Héctor Giacomini Jaume Giné Maite Grau
+	The inverse integrating factor and the Poincar\'e map	2007	Isaac A. García Héctor Giacomini Maite Grau
+ PDF Chat	The role of algebraic solutions in planar polynomial differential systems	2007	Héctor Giacomini Jaume Giné Maite Grau
+ PDF Chat	Multiplicity of limit cycles and analytic m-solutions for planar differential systems	2007	Armengol Gasull Jaume Giné Maite Grau
+	On the cyclicity of weight-homogeneous centers	2007	Lubomir Gavrilov Jaume Giné Maite Grau
+	The inverse integrating factor and the Poincaré map	2007	Isaac A. García Héctor Giacomini Maite Grau
+	On the stability of periodic orbits for differential systems in $\mathbb{R}^n$	2006	Armengol Gasull Héctor Giacomini Maite Grau
+	Coexistence of algebraic and non-algebraic limit cycles, explicitly given, using Riccati equations	2006	Jaume Giné Maite Grau
+	A necessary condition in the monodromy problem for analytic differential equations on the plane	2006	Isaac A. García Jaume Giné Maite Grau
+ PDF Chat	Integrability of Planar Polynomial Differential Systems through Linear Differential Equations	2006	Héctor Giacomini Jaume Giné Maite Grau
+	A note on: “Relaxation oscillators with exact limit cycles”	2005	Jaume Giné Maite Grau
+	Linearizability and integrability of vector fields via commutation	2005	Jaume Giné Maite Grau
+	Characterization of isochronous foci for planar analytic differential systems	2005	Jaume Giné Maite Grau
+	Characterization of isochronous foci for planar analytic differential systems	2005	Jaume Giné Maite Grau
+	On the stability of limit cycles for planar differential systems	2005	Héctor Giacomini Maite Grau
+	Coexistence of limit cycles and invariant algebraic curves for a Kukles system	2004	J. Chavarriga Eduardo Sáez Iván Szántó Maite Grau
+	Necessary conditions for the existence of invariant algebraic curves for planar polynomial systems	2004	J. Chavarriga Héctor Giacomini Maite Grau
+	Coexistence of limit cycles and invariant algebraic curves for a Kukles system	2004	J. Chavarriga Eduardo Sáez Iván Szántó Maite Grau
+	A family of non-darboux-integrable quadratic polynomial differential systems with algebraic solutions of arbitrarily high degree	2003	J. Chavarriga Maite Grau
+	Invariant algebraic curves linear in one variable for planar real quadratic systems	2002	J. Chavarriga Maite Grau
+	Integrable systems via polynomial inverse integrating factors	2002	J. Chavarriga Jaume Giné Maite Grau

Common Coauthors

Coauthor	Papers Together
Jaume Giné	35
Héctor Giacomini	15
Jaume Llibre	10
Isaac A. García	9
Javier Chavarriga	6
Xavier Santallusia	6
Armengol Gasull	5
Adriana Buică	4
Iván Szántó	3
Jordi Villadelprat	3
Francesc Mañosas	2
Lubomir Gavrilov	2
Eduardo Sáez	2
Jesús S. Pérez del Río	1
J. Llibre	1
Paz de Prada	1
Jaume Gin�	1
Belén García	1
Daniel Peralta‐Salas	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	10
+	Darboux integrability and the inverse integrating factor	2003	J. Chavarriga Héctor Giacomini Jaume Giné Jaume Llibre	10
+	On the Integrability of Two-Dimensional Flows	1999	J. Chavarriga Héctor Giacomini Jaume Giné Jaume Llibre	9
+	Generalized cofactors and nonlinear superposition principles	2003	Isaac A. García Jaume Giné	8
+	Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables	1965	D. B. Owen Milton Abramowitz Irene A. Stegun	8
+	Sur Ľintégration algébrique des équations différentielles du premier ordre et du premier degré	1897	M. H. Poincaré	7
+	On the nonexistence, existence and uniqueness of limit cycles	1996	Héctor Giacomini Jaume Llibre Mireille Viano	7
+ PDF Chat	Liouvillian first integrals of differential equations	1992	Michael F. Singer	7
+	Qualitative Theory of Planar Differential Systems	2006	Freddy Dumortier Joan Carles Artés Ferragud Jaume Llibre	7
+	Invariant algebraic curves and conditions for a centre	1994	Colin Christopher	6
+	Necessary conditions for the existence of invariant algebraic curves for planar polynomial systems	2004	J. Chavarriga Héctor Giacomini Maite Grau	6
+ PDF Chat	Integrability of Planar Polynomial Differential Systems through Linear Differential Equations	2006	Héctor Giacomini Jaume Giné Maite Grau	6
+ PDF Chat	On the center problem for ordinary differential equations	2006	Alexander Brudnyi	6
+ PDF Chat	Elementary first integrals of differential equations	1983	M. J. Prelle Michael F. Singer	6
+	On the number of limit cycles which appear with the variation of coefficients from an equilibrium position of focus or center type	1954	Nathalie Bautin	6
+	On the stability of limit cycles for planar differential systems	2005	Héctor Giacomini Maite Grau	6
+	The composition conjecture for Abel equation	2009	M.A.M. Alwash	6
+	Theory of Limit Cycles	1986	Yan-Qian Ye Chi Lo	6
+	A Note on the Number of Limit Cycles in Certain Two-Dimensional Systems	1979	N. G. Lloyd	6
+	About a conjecture on quadratic vector fields	2001	Jean Moulin Ollagnier	6
+	Integral invariants and limit sets of planar vector fields	2005	Isaac A. García Douglas S. Shafer	6
+	On the vanishing set of inverse integrating factors	2000	Lucio R. Berrone Héctor Giacomini	6
+	Algebraic and Geometric Aspects of the Theory of Polynomial Vector Fields	1993	Dana Schlomiuk	6
+	On a condition for a centre of cubic non-autonomous equations	1989	M.A.M. Alwash	6
+ PDF Chat	Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem	1998	Robert Roussarie	5
+	Singularities of plane curves	2021	Eduardo Casas-Alvero	5
+	On the composition conjectures	2003	M. A. M. Alwash	5
+	Center conditions III: Parametric and model center problems	2000	M. Briskin Jean–Pierre Françoise Yosef Yomdin	5
+	Non-autonomous equations related to polynomial two-dimensional systems	1987	M.A.M. Alwash N. G. Lloyd	5
+	The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems	2006	Héctor Giacomini Jaume Giné Jaume Llibre	5
+ PDF Chat	Differential Equations and Dynamical Systems	2002	Antonio Galves Jack K. Hale Carlos Rocha	5
+	Sur ĽintÉgration algÉbrique des Équations diffÉrentielles du premier ordre et du premier degrÉ	1891	M. H. Poincaré	5
+ PDF Chat	Equations de Pfaff algébriques	1979	Jean-Pierre Jouanolou	5
+ PDF Chat	The inverse integrating factor and the Poincaré map	2010	Isaac A. García Héctor Giacomini Maite Grau	5
+	An explicit expression for the first return map in the center problem	2004	Alexander Brudnyi	5
+ PDF Chat	Cyclicity versus Center Problem	2010	Armengol Gasull Jaume Giné	4
+	Reduction of Singularities of the Differential Equation Ady = Bdx	1968	A. Seidenberg	4
+	Perturbations of quadratic centers	1998	Iliya D. Iliev	4
+	Determination of limit cycles for two-dimensional dynamical systems	1995	Héctor Giacomini Mireille Viano	4
+	ON INTEGRABILITY OF DIFFERENTIAL EQUATIONS DEFINED BY THE SUM OF HOMOGENEOUS VECTOR FIELDS WITH DEGENERATE INFINITY	2001	J. Chavarriga Isaac A. García Jaume Giné	4
+	SEMISTABLE LIMIT CYCLES THAT BIFURCATE FROM CENTERS	2003	Héctor Giacomini Mireille Viano Jaume Llibre	4
+	Darboux theory of integrability in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi mathvariant="double-struck">C</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:math> taking into account the multiplicity	2008	Jaume Llibre Xiang Zhang	4
+ PDF Chat	Multiplicity of invariant algebraic curves in polynomial vector fields	2007	Colin Christopher Jaume Llibre Jorge Vitório Pereira	4
+	The nondegenerate center problem and the inverse integrating factor	2005	Jaume Giné	4
+	Dynamics and Bifurcations	1991	Jack K. Hale Hüseyin Koçak	4
+ PDF Chat	Universal centres and composition conditions	2012	Jaume Giné Maite Grau Jaume Llibre	4
+	Center conditions, compositions of polynomials and moments on algebraic curves	1999	M. Briskin Jean–Pierre Françoise Yosef Yomdin	4
+ PDF Chat	Generalized Hopf Bifurcation for Planar Vector Fields via the Inverse Integrating Factor	2011	Isaac A. García Héctor Giacomini Maite Grau	4
+ PDF Chat	Multiplicity of limit cycles and analytic m-solutions for planar differential systems	2007	Armengol Gasull Jaume Giné Maite Grau	4
+	Mémoire sur les équations différentielles algébriques du premier ordre et du premier degré	1878	Gaston Darboux	4