Development of a Web Application for Graphing Chaotic Attractors Using the SCRUM Methodology

Authors

  • Thalía Zárate Mora Escuela Superior Politécnica de Chimborazo
  • Ra´´ul Rosero Escuela Superior Politécnica de Chimborazo (ESPOCH)
  • Danilo Pástor Escuela Superior Politécnica de Chimborazo (ESPOCH)
  • Maricela Jiménez-Rodríguez Universidad de Guadalajara, Campus Ciénega
  • Omar S. Gómez Escuela Superior Politécnica de Chimborazo (ESPOCH)

DOI:

https://doi.org/10.47187/perspectivas.6.1.214

Keywords:

Desarrollo de Aplicaciones Web, Metodología SCRUM, Atractores Caóticos, Modelo Vista Controlador, Norma ISO/IEC 25010, Eficiencia

Abstract

The work focuses on optimizing the current process
of plotting attractors at the Software Engineering
Research Group (GrIISoft) of FIE-ESPOCH by
developing a web application that automates this
procedure using the Scrum methodology. The
application covers attractors such as Lorenz,
Rossler, Sprott, and Chen, incorporating features
such as user management and graph visualization.
Through four sprints, 17 user stories and 8
technical stories were implemented. Comparative
evaluation between GrIISoft's current procedure
and the web application revealed a significant
98.9% reduction in average response time,
decreasing from 10501.67 ms to 116.57 ms. The
application demonstrated efficiency in memory
and CPU usage on browsers like Edge and Opera,
with lower consumptions, and exhibited the
ability to handle up to 207 users simultaneously.
The results support the improvement in response
times.

Métricas

References

M. J. Sametband, “ENTRE EL ORDEN Y EL CAOS. La complejidad,” 1999.

E. I. Amaya Barrera, C. A. Suárez Parra, R. E. Huérfano Ortiz, J. D. Moreno Posada, and F. A. Parra Fuentes, “Modelo de encriptación simétrica basada en atractores caóticos,” Ingeniería, vol. 21, no. 3, 2016, doi: 10.14483/udistrital.jour.reving.2016.3.a08.

S. H. Strogatz, Nonlinear Dynamics And Chaos. 1994. Accessed: Mar. 04, 2023. [Online]. Available: http://users.uoa.gr/~pjioannou/nonlin/Strogatz,%20S.%20H.%20-%20Nonlinear%20Dynamics%20And%20Chaos.pdf

E. N. Lorenz, “Deterministic Nonperiodic Flow,” J Atmos Sci, vol. 20, no. 2, pp. 130–141, 1963, Accessed: Jan. 21, 2023. [Online]. Available: https://journals.ametsoc.org/view/journals/atsc/20/2/1520-0469_1963_020_0130_dnf_2_0_co_2.xml

I. F. Rodríguez Rodríguez, E. I. Amaya Barrera, C. A. Suarez Parra, and J. D. Moreno Posada, “Algoritmo de Encriptación de Imágenes Utilizando el Atractor Caótico de Lorenz,” Ingeniería, vol. 22, no. 3, 2017, doi: 10.14483/23448393.11976.

J. Ruiter, “Scholarship @ Claremont Practical Chaos: Using Dynamical Systems to Encrypt Audio and Visual Data,” 2019. [Online]. Available: https://scholarship.claremont.edu/scripps_theses/1389

AcademiaLab, “Atractor,” https://academia-lab.com/enciclopedia/atractor/.

M. Fuentes, “Dinámica científica y medidas de complejidad.” Accessed: Aug. 14, 2023. [Online]. Available: https://books.google.com.ec/books?id=Z8T0DwAAQBAJ&printsec=frontcover&hl=es&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false

C. Andreu, J. Echave, and G. Buela, “Psicothema,” Psicothema Vol. 10 (no 2). Accessed: Aug. 14, 2023. [Online]. Available: https://www.psicothema.com/pi?pii=168

E. Durán Ruiz, “Teoria del Caos_2.” Accessed: Jul. 29, 2023. [Online]. Available: http://recursostic.educacion.es/descartes/web/materiales_didacticos/Teoria_caos/teoria_del_caos_2.html

M. Á. Medina Torres, “La complejidad de la naturaleza: Fractales, caos y jugando a hacer montones de arena,” 2007.

S. M. Alwan, A. M. Al-Mahdi, and O. H. Odhah, “Optimal Control and Bifurcation Issues for Lorenz-Rössler Model,” Open Journal of Optimization, vol. 09, no. 03, pp. 71–85, 2020, doi: 10.4236/ojop.2020.93006.

E. Rossler, “AN EQUATION FOR CONTINUOUS CHAOS,” 1976.

C. Aguilar Ibáñez et al., “Identificación del sistema de Rössler: enfoque algebraico y algoritmos genéticos,” 2005.

G. Chen, “YET ANOTHER CHAOTIC ATTRACTOR,” 1999. [Online]. Available: www.worldscientific.com

P. Augustová and Z. Beran, “Characteristics of the Chen Attractor,” Advances in Intelligent Systems and Computing, vol. 210, pp. 305–312, 2013, doi: 10.1007/978-3-319-00542-3_31.

Q. Lai and S. Chen, “Generating multiple chaotic attractors from Sprott B System,” International Journal of Bifurcation and Chaos, vol. 26, no. 11, Oct. 2016, doi: 10.1142/S0218127416501777.

E. León -GAMALIEL, S. Tellez -CANEK, S. Ibarra -YUMA, and N. Pérez -JOSE CRUZ, “Diseño de Sistemas Caóticos de Sprott usando los Exponentes de Lyapunov

Downloads

Published

2024-02-21

How to Cite

[1]
T. Zárate Mora, R. Rosero, D. Pástor, M. Jiménez-Rodríguez, and O. S. Gómez, “Development of a Web Application for Graphing Chaotic Attractors Using the SCRUM Methodology”, Perspectivas, vol. 6, no. 1, Feb. 2024.

Issue

Vol. 6 No. 1 (2024): Revista Perspectivas

Section

Artículos arbitrados

License

Copyright (c) 2024 Thalía Zárate Mora, Ra´´ul Rosero, Danilo Pástor, Maricela Jiménez-Rodríguez, Omar S. Gómez

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Copyright

The authors of the manuscripts will retain their copyright on their articles published in Pespectivas Journal. These rights allow the authors to present their manuscripts in public, prepare derivative works, reproduce them physically by printing and distribute them on their social or research networks. These rights will remain unchanged as long as the authors respect the publication and free access policy of Perspectivas Journal.

 

Publication Rights

Perspectivas Journal reserves all first publication rights on each of the articles that the authors have sent to its review and publication process. It implies that authors will only exercise their copyright if they state the source and origin of the publication correctly, mainly when they distribute, share, present, or use their articles' total or partial content.