Antoni Guillamon

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All published works

Action	Title	Year	Authors
+	Optimal control of oscillatory neuronal models with applications to communication through coherence	2024	Michaël Orieux Antoni Guillamon Gemma Huguet
+ PDF Chat	Functional Shift-Induced Degenerate Transcritical Neimark–Sacker Bifurcation in a Discrete Hypercycle	2024	Ernest Fontich Antoni Guillamon Júlia Perona Josep Sardanyés
+	Functional shift-induced degenerate transcritical Neimark-Sacker bifurcation in a discrete hypercycle	2023	Ernest Fontich Antoni Guillamon Júlia Perona Josep Sardanyés
+	Optimal control of oscillatory neuronal models with applications to communication through coherence	2023	Michaël Orieux Antoni Guillamon Gemma Huguet
+ PDF Chat	Optimal Control of Oscillatory Neuronal Models with Applications to Communication Through Coherence	2023	Michaël Orieux Antoni Guillamon Gemma Huguet
+ PDF Chat	The beauty of language structure: A single-case fMRI study of palindrome creation	2022	Patricia León-Cabrera Antoni Guillamon David Cucurell Antoni Rodríguez‐Fornells
+	The beauty of language structure: a single-case fMRI study of palindrome creation	2021	Patricia León-Cabrera Antoni Guillamon David Cucurell Vega Antoni Rodríguez‐Fornells
+ PDF Chat	Quasiperiodic perturbations of heteroclinic attractor networks	2018	Amadeu Delshams Antoni Guillamon Gemma Huguet
+	Canards, folded nodes and mixed-mode oscillations in piecewise-linear slow-fast systems	2016	Mathieu Desroches Antoni Guillamon Enrique Ponce R. Prohens Serafim Rodrigues Antonio E. Teruel
+ PDF Chat	Canards, Folded Nodes, and Mixed-Mode Oscillations in Piecewise-Linear Slow-Fast Systems	2016	Mathieu Desroches Antoni Guillamon Enrique Ponce R. Prohens Serafim Rodrigues Antonio E. Teruel
+	Canards, folded nodes and mixed-mode oscillations in piecewise-linear slow-fast systems	2016	Mathieu Desroches Antoni Guillamon Enrique Ponce R. Prohens Serafim Rodrigues Antonio E. Teruel
+	Sequential estimation of intrinsic activity and synaptic input in single neurons by particle filtering with optimal importance density	2015	Pau Closas Antoni Guillamon
+	Sequential estimation of intrinsic activity and synaptic input in single neurons by particle filtering with optimal importance density	2015	Pau Closas Antoni Guillamon
+ PDF Chat	Phase portraits of separable Hamiltonian systems	2011	Antoni Guillamon Chara Pantazi
+	The number of limit cycles in planar systems and generalized Abel equations with monotonous hyperbolicity	2009	Antoni Guillamon Marco Sabatini
+ PDF Chat	LIMIT CYCLES FOR GENERALIZED ABEL EQUATIONS	2006	Armengol Gasull Antoni Guillamon
+	Geometric tools to determine the hyperbolicity of limit cycles	2006	Antoni Guillamon Marco Sabatini
+	Limit cycles and Lie symmetries	2006	E. Freire Armengol Gasull Antoni Guillamon
+ PDF Chat	First derivative of the period function with applications	2004	E. Freire Armengol Gasull Antoni Guillamon
+ PDF Chat	The period function for second-order quadratic ODEs is monotone	2004	Armengol Gasull Antoni Guillamon Jordi Villadelprat
+	First derivative of the period function with applications	2004	E. Freire Armengol Gasull Antoni Guillamon
+ PDF Chat	A characterization of isochronous centres in terms of symmetries	2004	E. Freire Armengol Gasull Antoni Guillamon
+ PDF Chat	A pseudo-normal form for planar vector fields	2002	Amadeu Delshams Antoni Guillamon J. Tomás Lázaro
+ PDF Chat	Period function for perturbed isochronous centres	2002	E. Freire Armengol Gasull Antoni Guillamon
+ PDF Chat	Phase portrait of Hamiltonian systems with homogeneous nonlinearities	2000	Armengol Gasull Antoni Guillamon Vı́ctor Mañosa
+ PDF Chat	An Analytic-Numerical Method for Computation of the Liapunov and Period Constants Derived from Their Algebraic Structure	1999	Armengol Gasull Antoni Guillamon Vı́ctor Mañosa
+	The Period Function for Hamiltonian Systems with Homogeneous Nonlinearities	1997	Armengol Gasull Antoni Guillamon Vı́ctor Mañosa Francesc Mañosas
+	An Explicit Expression of the First Liapunov and Period Constants with Applications	1997	Armengol Gasull Antoni Guillamon Vı́ctor Mañosa
+	Geometrical conditions for the stability of orbits in planar systems	1996	Ronaldo Garcia Armengol Gasull Antoni Guillamon
+	Study of Perturbed Lotka–Volterra Systems Via Abelian Integrals	1996	Armengol Gasull Antoni Guillamon Chengzhi Li Zhifen Zhang
+ PDF Chat	Periods for Transversal Maps Via Lefschetz Numbers for Periodic Points	1995	Antoni Guillamon X. Jarque J. Llibre J. Ortega Joan Torregrosa

Common Coauthors

Coauthor	Papers Together
Armengol Gasull	13
E. Freire	5
Gemma Huguet	4
Vı́ctor Mañosa	4
Enrique Ponce	3
R. Prohens	3
Serafim Rodrigues	3
Antonio E. Teruel	3
Mathieu Desroches	3
Michaël Orieux	3
Josep Sardanyés	2
Patricia León-Cabrera	2
Pau Closas	2
Ernest Fontich	2
Marco Sabatini	2
Antoni Rodrı́guez-Fornells	2
Amadeu Delshams	2
Júlia Perona	2
Chengzhi Li	1
Francesc Mañosas	1
J. Ortega	1
Ronaldo Garcia	1
Chara Pantazi	1
J. Tomás Lázaro	1
Jordi Villadelprat	1
David Cucurell	1
J. Llibre	1
X. Jarque	1
Joan Torregrosa	1
David Cucurell Vega	1
Zhifen Zhang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Bifurcation of critical periods for plane vector fields	1989	Carmen Chicone Marc Q. Jacobs	6
+	regularity properties of the period function near a center of a planar vector field	1992	Massimo Villarini	5
+	First derivative of the period function with applications	2004	E. Freire Armengol Gasull Antoni Guillamon	4
+	The period in the Lotka-Volterra system is monotonic	1986	Jörg Waldvogel	3
+	I. ON SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS	1950	Stephen P. Diliberto	3
+ PDF Chat	Period function for perturbed isochronous centres	2002	E. Freire Armengol Gasull Antoni Guillamon	3
+	Limit cycles and Lie symmetries	2006	E. Freire Armengol Gasull Antoni Guillamon	3
+	Theory of Limit Cycles	1986	Yan-Qian Ye Chi Lo	3
+	A Note on the Number of Limit Cycles in Certain Two-Dimensional Systems	1979	N. G. Lloyd	3
+ PDF Chat	The period function of a Hamiltonian quadratic system	1993	W. A. Coppel Lubomir Gavrilov	3
+ PDF Chat	A characterization of isochronous centres in terms of symmetries	2004	E. Freire Armengol Gasull Antoni Guillamon	3
+	Plane polynomial vector fields with prescribed invariant curves	2000	Sebastian Walcher	3
+	Selected topics in differential equations with real and complex time	2004	Yu. Ilyashenko	2
+ PDF Chat	Mixed-Mode Oscillations in a piecewise linear system with multiple time scale coupling	2016	Soledad Fernández-García Martin Krupa Frédérique Clément	2
+ PDF Chat	Firing rate equations require a spike synchrony mechanism to correctly describe fast oscillations in inhibitory networks	2017	Federico Devalle Alex Roxin Ernest Montbrió	2
+	Systems of ordinary differential equations	2014		2
+	Nonlocal Problems of the Theory of Oscillations	1966	В. А. Плисс	2
+	Contributions to differential equations	1966	А. Д. Мышкис	2
+	Multi-parameter symmetries of first order ordinary differential equations.	1999	Sebastian Walcher	2
+	Distinct neural substrates for deductive and mathematical processing	2008	James K. Kroger Leigh E. Nystrom Jonathan D. Cohen P. N. Johnson‐Laird	2
+	ISOCHRONOUS SECTIONS VIA NORMALIZERS	2005	Marco Sabatini	2
+ PDF Chat	A survey of isochronous centers	1999	J. Chavarriga Marco Sabatini	2
+	On Lie's symmetries for planar polynomial differential systems	2001	J. Chavarriga Isaac A. García Jaume Giné	2
+	Canards in R3	2001	Peter Szmolyan Martin Wechselberger	2
+	Canards et enlacements	1990	Éric Benoît	2
+	Palindromes and Anagrams	1973	Jezebel Q. Xixx	2
+	An algebraic characterization of controllability	1965	Albert Chang	2
+	Isochronicity via normal form	2000	Antonio Algaba E. Freire E. Gamero	2
+	A remark on the period of the periodic solution in the Lotka-Volterra system	1983	Sze‐Bi Hsu	2
+	Period Function for a Class of Hamiltonian Systems	2000	Anna Cima Armengol Gasull Francesc Mañosas	2
+	Isochronous Centers in Planar Polynomial Systems	1997	Colin Christopher J. Devlin	2
+	Table of Integrals, Series, and Products	1980		2
+	The parameterization method for invariant manifolds III: overview and applications	2005	Xavier Cabré Ernest Fontich Rafael de la Llave	2
+ PDF Chat	Parameterization of Invariant Manifolds for Periodic Orbits I: Efficient Numerics via the Floquet Normal Form	2015	Roberto Castelli J. Lessard J. D. Mireles James	2
+	Bifurcations of Nonlinear Oscillations and Frequency Entrainment Near Resonance	1992	Carmen Chicone	2
+ PDF Chat	On the Use of Blowup to Study Regularizations of Singularities of Piecewise Smooth Dynamical Systems in $\mathbb{R}^3$	2015	Kristian Uldall Kristiansen S. J. Hogan	2
+	Limit cycles of a class of polynomial systems	1988	M. Carbonell Jaume Llibre	2
+	Limit Cycles for a Class of Abel Equations	1990	Armengol Gasull Jaume Libre	2
+	Control Theory from the Geometric Viewpoint	2004	Andrei Agrachev Yuri L. Sachkov	2
+ PDF Chat	Canard-like phenomena in piecewise-smooth Van der Pol systems	2014	A. J. Roberts Paul Gendinning	2
+	The monotonicity of the period function for planar Hamiltonian vector fields	1987	Carmen Chicone	2
+ PDF Chat	Mixed-mode oscillations in a stochastic, piecewise-linear system	2011	David J. W. Simpson Rachel Kuske	2
+ PDF Chat	Effective computation of the first Lyapunov quantities for a planar differential equation	1997	Armengol Gasull R. Prohens	2
+	Study of Perturbed Lotka–Volterra Systems Via Abelian Integrals	1996	Armengol Gasull Antoni Guillamon Chengzhi Li Zhifen Zhang	2
+ PDF Chat	The Geometry of Generic Sliding Bifurcations	2011	Mike R. Jeffrey S. J. Hogan	2
+	Degenerate Hopf Bifurcation Formulas and Hilbert’s 16th Problem	1989	W.W. Farr Chengzhi Li Isabel S. Labouriau William F. Langford	2
+	On the number of solutions of the equation $$\frac{{dx}}{{dt}} = \sum\limits_{j = 0}^n {a_j (t) x^j ,0 \leqq t \leqq 1,} $$ for whichx(0)=x(1)	1980	Alcides Lins Neto	2
+	Local analysis near a folded saddle-node singularity	2010	Martin Krupa Martin Wechselberger	2
+	An Explicit Expression of the First Liapunov and Period Constants with Applications	1997	Armengol Gasull Antoni Guillamon Vı́ctor Mañosa	2
+ PDF Chat	The period function of some polynomial systems of arbitrary degree	1996	C. B. Collins	2