ANTONIO
ALGABA DURAN
CATEDRATICO DE UNIVERSIDAD
Universidad de Sevilla
Sevilla, EspañaPublicaciones en colaboración con investigadores/as de Universidad de Sevilla (88)
2024
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A double-zero bifurcation in a Lorenz-like system
Nonlinear Dynamics, Vol. 112, Núm. 3, pp. 2305-2330
2022
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Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system
Communications in Nonlinear Science and Numerical Simulation, Vol. 111
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Study of a homoclinic canard explosion from a degenerate center
Applied Mathematics Letters, Vol. 132
2021
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Asymptotic expansions for a degenerate canard explosion
Physica D: Nonlinear Phenomena, Vol. 418
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Characterizing Orbital-Reversibility Through Normal Forms
Qualitative theory of dynamical systems, Vol. 20, Núm. 2
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High-order approximation of heteroclinic bifurcations in truncated 2d-normal forms for the generic cases of hopf-zero and nonresonant double hopf singularities
SIAM Journal on Applied Dynamical Systems, Vol. 20, Núm. 1, pp. 403-437
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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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Analytical approximation of cuspidal loops using a nonlinear time transformation method
Applied Mathematics and Computation, Vol. 373
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Analytical approximation of the canard explosion in a van der Pol system with the nonlinear time transformation method
Physica D: Nonlinear Phenomena, Vol. 406
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Asymptotic expansions for a family of non-generic canards using parametric representation
Applied Mathematics Letters, Vol. 106
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Computation of all the coefficients for the global connections in the Z2-symmetric Takens-Bogdanov normal forms
Communications in Nonlinear Science and Numerical Simulation, Vol. 81
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High-Order Analysis of Canard Explosion in the Brusselator Equations
International Journal of Bifurcation and Chaos, Vol. 30, Núm. 5
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High-Order Analysis of Global Bifurcations in a Codimension-Three Takens-Bogdanov Singularity in Reversible Systems
International Journal of Bifurcation and Chaos, Vol. 30, Núm. 1
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High-order study of the canard explosion in an aircraft ground dynamics model
Nonlinear Dynamics, Vol. 100, Núm. 2, pp. 1079-1090
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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
2019
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A nonlinear time transformation method to compute all the coefficients for the homoclinic bifurcation in the quadratic Takens–Bogdanov normal form
Nonlinear Dynamics, Vol. 97, Núm. 2, pp. 979-990
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Revisiting the analysis of a codimension-three Takens–Bogdanov bifurcation in planar reversible systems
Nonlinear Dynamics, Vol. 96, Núm. 4, pp. 2567-2580
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Study of a dynamical system with a strange attractor and invariant tori
Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 383, Núm. 13, pp. 1441-1449
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Study of a simple 3D quadratic system with homoclinic flip bifurcations of inward twist case Cin
Communications in Nonlinear Science and Numerical Simulation, Vol. 77, pp. 324-337