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Maria Jesus Alvarez
Maria Jesus Alvarez
Applied Mathematics (UIB)
Verified email at uib.es
Title
Cited by
Cited by
Year
Monodromy and stability for nilpotent critical points
MJ Álvarez, A Gasull
International Journal of Bifurcation and Chaos 15 (04), 1253-1265, 2005
902005
A survey on the blow up technique
MJ Álvarez, A Ferragut, X Jarque
International Journal of Bifurcation and Chaos 21 (11), 3103-3118, 2011
842011
Generating limit cycles from a nilpotent critical point via normal forms
MJ Álvarez, A Gasull
Journal of Mathematical Analysis and Applications 318 (1), 271-287, 2006
772006
A new uniqueness criterion for the number of periodic orbits of Abel equations
MJ Álvarez, A Gasull, H Giacomini
Journal of Differential Equations 234 (1), 161-176, 2007
552007
Centers and limit cycles for a family of Abel equations
MJ Álvarez, JL Bravo, M Fernández, R Prohens
Journal of Mathematical Analysis and Applications 453 (1), 485-501, 2017
142017
Existence of non-trivial limit cycles in Abel equations with symmetries
MJ Álvarez, JL Bravo, M Fernández
Nonlinear Analysis: Theory, Methods & Applications 84, 18-28, 2013
142013
Lower bounds for the number of limit cycles of trigonometric Abel equations
MJ Álvarez, A Gasull, J Yu
Journal of mathematical analysis and applications 342 (1), 682-693, 2008
142008
Topological classification of polynomial complex differential equations with all the critical points of centre type
MJ Alvarez, A Gasull, R Prohens
Journal of Difference Equations and Applications 16 (5-6), 411-423, 2010
132010
Limit cycles for cubic systems with a symmetry of order 4 and without infinite critical points
M Álvarez, A Gasull, R Prohens
Proceedings of the American Mathematical Society 136 (3), 1035-1043, 2008
122008
Uniqueness of limit cycles for polynomial first-order differential equations
MJ Álvarez, JL Bravo, M Fernández
Journal of mathematical analysis and applications 360 (1), 168-189, 2009
112009
Configurations of critical points in complex polynomial differential equations
MJ Álvarez, A Gasull, R Prohens
Nonlinear Analysis: Theory, Methods & Applications 71 (3-4), 923-934, 2009
102009
Asymptotic lower bounds on Hilbert numbers using canard cycles
MJ Álvarez, B Coll, P De Maesschalck, R Prohens
Journal of Differential Equations 268 (7), 3370-3391, 2020
82020
Alien limit cycles in Abel equations
MJ Álvarez, JL Bravo, M Fernández, R Prohens
Journal of Mathematical Analysis and Applications 482 (1), 123525, 2020
82020
Critical points and periodic orbits of planar differential equations
MJ Álvarez
PhD thesis, Universitat Autonoma de Barcelona, 2006
72006
Abel-like differential equations with a unique limit cycle
MJ Álvarez, JL Bravo, M Fernández
Nonlinear Analysis: Theory, Methods & Applications 74 (11), 3694-3702, 2011
62011
Global behaviour of the period function of the sum of two quasi-homogeneous vector fields
MJ Álvarez, A Gasull, R Prohens
Journal of Mathematical Analysis and Applications 449 (2), 1553-1569, 2017
52017
Limit cycles for two families of cubic systems
MJ Álvarez, A Gasull, R Prohens
Nonlinear Analysis: Theory, Methods & Applications 75 (18), 6402-6417, 2012
52012
Local behavior of planar analytic vector fields via integrability
MJ Álvarez, A Ferragut
Journal of Mathematical Analysis and Applications 385 (1), 264-277, 2012
52012
Limit cycles for a class of quintic -equivariant systems without infinite critical points
MJ Álvarez, IS Labouriau, AC Murza
Bulletin of the Belgian Mathematical Society-Simon Stevin 21 (5), 841-857, 2014
42014
On the number of limit cycles of some systems on the cylinder
MJ Álvarez, A Gasull, R Prohens
Bulletin des sciences mathematiques 131 (7), 620-637, 2007
32007
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