ESPACIOS DE BANACH Y SISTEMAS DINÁMICOS
Argitalpenak (86) Ikertzaileren baten partaidetza izan duten argitalpenak
2024
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A double-zero bifurcation in a Lorenz-like system
Nonlinear Dynamics, Vol. 112, Núm. 3, pp. 2305-2330
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ANALYTICAL INTEGRABILITY OF PERTURBATIONS OF DEGENERATE QUADRATIC SYSTEMS
Journal of Applied Analysis and Computation, Vol. 14, Núm. 2, pp. 864-885
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Homoclinic behavior around a degenerate heteroclinic cycle in a Lorenz-like system
Chaos, Solitons and Fractals, Vol. 186
2023
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Analytic partial-integrability of a symmetric Hopf-zero degeneracy
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 153, Núm. 3, pp. 833-852
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Analytically integrable system orbitally equivalent to a semi-quasihomogeneous system
Nonlinear Analysis, Theory, Methods and Applications, Vol. 234
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
2021
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Algebraic integrability of nilpotent planar vector fields
Chaos, Solitons and Fractals, Vol. 145
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Analytical Integrability of Perturbations of Quadratic Systems
Mediterranean Journal of Mathematics, Vol. 18, Núm. 1
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Analytically Integrable Centers of Perturbations of Cubic Homogeneous Systems
Qualitative theory of dynamical systems, Vol. 20, Núm. 2
2020
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Quasi-homogeneous linearization of degenerate vector fields
Journal of Mathematical Analysis and Applications, Vol. 483, Núm. 2
2019
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Invariant curves and analytic integrability of a planar vector field
Journal of Differential Equations, Vol. 266, Núm. 2-3, pp. 1357-1376
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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
2018
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A Review on Some Bifurcations in the Lorenz System
Understanding Complex Systems (Springer Verlag), pp. 3-36
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Analytical integrability problem for perturbations of cubic Kolmogorov systems
Chaos, Solitons and Fractals, Vol. 113, pp. 1-10
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Comments on “Shilnikov chaos and Hopf bifurcation in three-dimensional differential system”
Optik, Vol. 155, pp. 251-256
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Non-formally integrable centers admitting an algebraic inverse integrating factor
Discrete and Continuous Dynamical Systems- Series A, Vol. 38, Núm. 3, pp. 967-988
2016
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Algebraic inverse integrating factors for a class of generalized nilpotent systems
SEMA SIMAI Springer Series (Springer International Publishing), pp. 287-300
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Analysis of the Hopf-zero bifurcation and their degenerations in a quasi-Lorenz system
No Lineal 2016. International Conference on Nonlinear Mathematics and Physics: 7-10, 2016. book of abstracts (Juan F.R. Archilla), pp. 22-22
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Comment on “Study on the reliable computation time of the numerical model using the sliding temporal correlation method”
Theoretical and Applied Climatology, Vol. 126, Núm. 3-4, pp. 797-799