Author’s reply to: Comments on 'Asymptotically stable equilibrium points in new chaotic systems'

Autor: K. Casas-García, L. A. Quezada-Téllez, S. Carrillo-Moreno, J. J. Flores-Godoy, Guillermo Fernández-Anaya
Jazyk: English<br />Spanish; Castilian
Rok vydání: 2017
Předmět:
Zdroj: Nova Scientia, Vol 9, Iss 19 (2017)
Druh dokumentu: article
ISSN: 2007-0705
DOI: 10.21640/ns.v9i19.1208
Popis: Since theorem 1 of (Elhadj and Sprott, 2012) is incorrect, some of the systems found in the article (Casas-García et al. 2016) may have homoclinic or heteroclinic orbits and may seem chaos in the Shilnikov sense. However, the fundamental contribution of our paper was to find ten simple, three-dimensional dynamic systems with non-linear quadratic terms that have an asymptotically stable equilibrium point and are chaotic, which was achieved. These were obtained using the Monte Carlo method applied specifically for the search of these systems.
Databáze: Directory of Open Access Journals