Estanislao
Gamero Gutiérrez
Publications by the researcher in collaboration with Estanislao Gamero Gutiérrez (38)
2021
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Characterizing Orbital-Reversibility Through Normal Forms
Qualitative theory of dynamical systems, Vol. 20, Núm. 2
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On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier
Applied Mathematics and Computation, Vol. 405
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Orbital hypernormal forms
Symmetry, Vol. 13, Núm. 8
2020
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Orbital normal forms for a class of three-dimensional systems with an application to Hopf-zero bifurcation analysis of Fitzhugh–Nagumo system
Applied Mathematics and Computation, Vol. 369
2018
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New aspects of the orbital normal form of the Hopf singularity: The Rayleigh and the van der Pol forms
International Journal of Non-Linear Mechanics, Vol. 105, pp. 20-26
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Normal Form for a Class of Three-Dimensional Systems with Free-Divergence Principal Part
Understanding Complex Systems (Springer Verlag), pp. 37-65
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Structural stability of planar quasi-homogeneous vector fields
Journal of Mathematical Analysis and Applications, Vol. 468, Núm. 1, pp. 212-226
2017
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A bifurcation analysis of planar nilpotent reversible systems
Nonlinear Dynamics, Vol. 87, Núm. 2, pp. 835-849
2016
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Resonances of periodic orbits in the Lorenz system
Nonlinear Dynamics, Vol. 84, Núm. 4, pp. 2111-2136
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Takens-Bogdanov bifurcations and resonances of periodic orbits in the Lorenz system
No Lineal 2016. International Conference on Nonlinear Mathematics and Physics: 7-10, 2016. book of abstracts (Juan F.R. Archilla), pp. 51-51
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The center problem. A view from the normal form theory
Journal of Mathematical Analysis and Applications, Vol. 434, Núm. 1, pp. 680-697
2015
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An exact homoclinic orbit and its connection with the Rössler system
Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 379, Núm. 16-17, pp. 1114-1121
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On orbital-reversibility for a class of planar dynamical systems
Communications in Nonlinear Science and Numerical Simulation, Vol. 20, Núm. 1, pp. 229-239
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Orbital-reversibility of planar dynamical systems
Proceedings of the XXIV Congress on Differential Equations and Applications, XIV Congress on Applied Mathematics
2013
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The reversibility problem for quasi-homogeneous dynamical systems
Discrete and Continuous Dynamical Systems- Series A, Vol. 33, Núm. 8, pp. 3225-3236
2010
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Monodromy, center-focus and integrability problems for quasi-homogeneous polynomial systems
Nonlinear Analysis, Theory, Methods and Applications, Vol. 72, Núm. 3-4, pp. 1726-1736
2009
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The integrability problem for a class of planar systems
Nonlinearity, Vol. 22, Núm. 2, pp. 395-420
2007
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A degenerate Hopf-saddle-node bifurcation analysis in a family of electronic circuits
Nonlinear Dynamics, Vol. 48, Núm. 1-2, pp. 55-76
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Resonances of periodic orbits in Rössler system in presence of a triple-zero bifurcation
International Journal of Bifurcation and Chaos, Vol. 17, Núm. 6, pp. 1997-2008
2005
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A bifurcation analysis of a simple electronic circuit
Communications in Nonlinear Science and Numerical Simulation, Vol. 10, Núm. 2, pp. 169-178