1. Álvaro Castañeda; Salomón Rebollo-Perdomo, “Discrete and continuous dynamics of real 3-dimensional nilpotent polynomial vector fields”, aceptado en Archiv der Mathematik.
2. Álvaro Castañeda; Néstor Jara, “A generalization of Siegmund's normal forms theorem to systems with m-dichotomies" Journal of Differential Equations, Volumen 410, páginas 449 - 480, 2024.
3. Álvaro Castañeda; Néstor Jara, “A note on the differentiability of discrete Palmer’s linearizations”, Proceedings A of the Royal Society of Edinburgh, Volumen 154, Número 2, páginas 600 - 628, 2024.
4. Álvaro Castañeda; Pablo Monzón; Gonzalo Robledo, “Nonuniform contractions and converse stability results via a smooth topological equivalence”, Dynamical Systems, Volumen 38, Número 2, páginas 179 - 196, 2023.
5. Álvaro Castañeda; Pablo González; Gonzalo Robledo, “Topological equivalence of nonautonomous difference equations with a family of dichotomis on the half line”, Communications on Pure and Applied Analysis, Volumen 20, Número 2, páginas 511 - 532, 2021.
6. Álvaro Castañeda; Maximiliano Machado-Higuera, “Nilpotent Jacobians and Almost Global Stability”, Journal of Dynamics and Differential Equations, Volumen 268, Número 8, páginas 4544 - 4554, 2021.
7. Álvaro Castañeda; Arno van den Essen, “A new class of Nilpotent Jacobian s in any dimension”, Journal of Algebra, Volumen 566, páginas 283-301, 2021.
8. Álvaro Castañeda; Pablo Monzón; Gonzalo Robledo, “Smoothness of Topological Equivalence on the Half Line for Nonautonomous Systems”, Proceedings A of the Royal Society of Edinburgh, Volumen 150, Número 5, páginas 2484 - 2502, 2020.
9. Álvaro Castañeda; Gonzalo Robledo, “A spectral dichotomy version of the nonautonomous Markus–Yamabe conjecture”, Journal of Differential Equations, Volumen 268, Número 8, páginas 4544 - 4554, 2020.
10. Álvaro Castañeda; Ignacio Huerta, “Nonuniform Almost Reducibility of Nonautonomous Linear Differential Equations”, Journal of Mathematical Analysis and Applications, Volumen 485, Número 2, 123822, 22 pp., 2020.
11. Álvaro Castañeda; Gonzalo Robledo, “Dichotomy spectrum and almost topological conjugacy on nonautonomous unbounded difference systems”, Discrete and Continuous Dynamical Systems (Series A). Volumen 38, Número 5, páginas 2287-2304, 2018.
12. Álvaro Castañeda; Gonzalo Robledo, “Almost reducibility of linear difference systems from a spectral point of view”, Communications on Pure and Applied Analysis, Volumen 16, Número 6, páginas 1977-1988, 2017.
13. Álvaro Castañeda; Víctor Guíñez, “Injectivity and Almost Global Asymptotic Stability of Hurwitz Vector Fields”. Journal of Mathematical Analysis and Applications. Volumen 449, Número 2, páginas 1670-1683, 2017.
14. Álvaro Castañeda; Gonzalo Robledo, “A topological equivalence result for a family of nonlinear difference systems having generalized exponential dichotomy”, Journal of Difference Equations and Applications. Volumen 22, Número 9, páginas 1271-1291, 2016.
15. Álvaro Castañeda; Gonzalo Robledo, “Differentiability of Palmer’s linearization theorem and converse result for density functions”, Journal of Differential Equations, Volumen 259, Número 9, páginas 4634- 4650, 2015.
16. Álvaro Castañeda; Víctor Guíñez, “Some results about Global Asymptotic Stability”, Qualitative Theory of Dynamical Systems. Volumen 12, Número 2, páginas 427-441, 2014.
17. Álvaro Castañeda, “Dynamics of a Particular Real Rational Function”, Far East Journal of Dynamical Systems, Volumen 18, Número 2, páginas 91-118, 2012.
18. Víctor Guíñez; Álvaro Castañeda, “A Bounded Hurwitz Vector Field in R⁴ Having a Periodic Orbit”, Dynamics of Continuous, Discrete and Impulsive Systems, Volumen 18, Número 3, Páginas 311-317, 2011.
19. Víctor Guíñez; Álvaro Castañeda, “A Polynomial Class of Markus-Yamabe Counterexamples and Examples in R³”, Applicable Analysis, Volumen 90, Número 5, Páginas 787-798, 2011.
20. Carlos Gutiérrez; Víctor Guíñez; Álvaro Castañeda, “Quartic Differential Forms and Transversal Nets with Singularities”, Discrete and Continuous Dynamical Systems (Series A), Volumen 26, Número 1, Páginas 225-249, 2010.