Publications

Monographs

1. "Characterization of the unfolding of a weak focus and modulus of analytic classification", Papyrus, University of Montreal, Montreal, Quebec, December 2010.

2. "Topological asymptotic linking number of solenoids embedded in the solid torus", University of Chile, Santiago de Chile, December 2005.

Peer reviewed Scopus/WOS papers

2011

1. Arriagada W. and Rousseau C. The modulus of analytic classification for the unfolding of the codimension-one flip and Hopf bifurcations. Ann. Fac. Sc. Toulouse, Vol. 20, No. 3, pp. 541- 580, 2011.

2012

2. Arriagada W. Characterization of the generic unfolding of a weak focus. J. Diff. Eqs., 253, No. 6, pp. 1692- 1708, 2012.

2013

3. Arriagada W. Analytic obstructions to isochronicity in codimension 1. Proc. A Royal Soc. Edinburgh, 143, No. 4, pp. 669-688, 2013.

4. Arriagada W. and Huentutripay J. Embedding of the codimension-k flip bifurcation. F. East. Jour. Dyn. Syst., 22, No. 1, pp. 33-54, 2013.

2014

5. Arriagada, W. and Huentutripay J. Blow-up rates of large solutions for a phi-Laplacian problem with gradient term. Proc. A Royal Soc. Edinburgh, 144, No. 1, pp. 1-21, 2014.

6. Arriagada W. Temporally normalizable generic unfoldings of order-1 weak foci. J. Dyn. and Cont. Systems, Volume 21, Issue 2 (2014), Pages 239-256.

2015

7. Arriagada W. and Ramirez H. Centers of skew-polynomial rings. Pub. Inst. Math. Beograde, Nouvelle Serie, Vol. 97(111), 181-186 (2015).

8. Arriagada W. Linking invariants for smooth minimal solenoids. Dyn. Systems, Vol. 30, No. 03, 297-309, 2015.

2016

9. Arriagada W. and Fialho J. Parametric rigidness of germs of analytic unfoldings with a Hopf bifurcation. Portugaliae Mathematica, European Mathematical Society, Vol. 73, Fasc. 2, 2016, 153–170.

2017

10. Arriagada W. and Huentutripay J. Characterization of a homogeneous Orlicz space. Electron. J. Differential Equations, Vol. 2017 (2017), No. 49, pp. 1–17.

11. Arriagada W. and Huentutripay J. Regularity, positivity and asymptotic vanishing of solutions of a φ-Laplacian. Anal. St. Univ. Ovidius Constanta, Ser. Mat., Vol. 25(3), 2017, 59–72.

12. Arriagada W. and Ramirez H. A note on involutions in Ore extensions. Boletin de Matematicas, 24, No. 1, 29-35, 2017.

2018

13. Arriagada W. and Huentutripay J. A Harnack's inequality in Orlicz-Sobolev spaces. Studia Mathematica 243 (2018) , 117-137.

14. Arriagada W and J. Huentutripay. Improved bounds for solutions of $\phi$-Laplacians. Opuscula Math. 38, no. 6 (2018), 765-777.

2019

15. Arriagada W. and Huentutripay J. Existence and local boundedness of solutions of a φ-Laplacian problem. Applicable Analysis, 98, no. 4, 2019, 667-681.

16. Arriagada W. Parametric rigidity of real families of conformal diffeomorphisms tangent to x--> -x. Proceedings of the Royal Society of Edinburgh, Vol. 149, No. 1, 261–277, 2019.

17. Arriagada W and Skrzypacz P. Z2-equivariant foliations. Revue Roumaine de Mathematiques Pures et Appliquees (Romanian Journal of Pure and Applied Mathematics), Tome LXIV (2019), No.1, 7-24.

2020

18. Arriagada W and J. Huentutripay. Asymptotic properties of a φ-Laplacian and Rayleigh quotient. Comment.Math.Univ.Carolin. 61,3 (2020) 345-362.

2021

19. Arriagada W. Matuszewska-Orlicz indices of the Sobolev conjugate Young function, Part. Diff. Eqs. in Applied Mathematics, Elsevier, Volume 3, June 2021, 100029, 2021. (Available online at https://www.sciencedirect.com/science/article/pii/S2666818121000097)

20. Alkatheeri A. and Arriagada W. An algebraic note on Print Gallery. Applied Mathematics E-Notes (AMEN), No. 21 (2021), 669-677.

2022

21. Arriagada, W. Parametric rigidity of the Hopf bifurcation up to analytic conjugacy. Period Math Hung 84, 1–17 (2022). Available online at https://doi.org/10.1007/s10998-021-00385-y

2024

22. Arriagada W. On local fractal functions of higher order. MATEMATIČKI VESNIK, 77, 3 (2025), 210-220. (Published online August 2024). DOI: 10.57016/MV-v49CIA71

2025

23. Arriagada W. The Read-Bajraktarevic operator on Hardy-Orlicz spaces, Fixed Point Theory and Algorithms for Sciences and Engineering, Springer Nature, 2025(18), 2025.

In press

24. Arriagada W. Local fractal functions on Orlic-Sobolev spaces. To appear, Studia Universitatis Babeș-Bolyai Mathematica, 2025.

Submitted

25. Arriagada W. Convergence properties of a φ-Laplacian under natural constraints, Portugalia Matematica 2025.

26. Arriagada W, and Guo Xuanhan. Euler characteristic of Print Gallery. CUBO- A Mathematical Journal, 2025.

27. Arriagada W, Zhu Y. Addendum to fractal functions of higher order. Rivista di Matematica della Università di Parma, 2025. 

In preparation

28. W. Arriagada, T. Zhang and X. Guo. Arts, dynamics and the Gram matrix.

29. Arriagada W. A class of φ-Laplacians with Caratheodory right-hand side.

30. Arriagada W. Monodromic distributions via quasiconformal surgery.