On the Homoclinic Orbits of the Lü System
Álvarez-Ramírez, Martha (Universidad Autónoma Metropolitana-Iztapalapa (Mèxic). Departamento de Matemáticas)
García-Saldaña, Johanna Denise (Universidad Católica de la Santísima Concepción (Xile). Departamento de Matemática y Física Aplicadas)

Date:	2017
Abstract:	In this paper, the existence of homoclinic orbits of the equilibrium point (0, 0, 0) is demonstrated in the case of the Lu ̈ system for parameter values not reported by G. A. Leonov. In addition, some simulations are shown that agree with our theoretical analysis.
Note:	Agraïments: M. Alvarez-Ramírez was partially supported by the grant Red de cuerpos académicos Ecuaciones Diferenciales. Proyecto sistemas dinámicos y estabilización. PROMEP 2011-SEP, Mexico; and J. D. García-Saldaña was supported by FONDECyT postdoctoral fellowship 3150131/2015.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Bifurcation ; Chaotic ; Homoclinic orbit ; Lü system
Published in:	International journal of bifurcation and chaos in applied sciences and engineering, Vol. 27 Núm. 5 (2017) , p. 1750070, ISSN 1793-6551

DOI: 10.1142/S0218127417500705

Postprint 4 p, 262.6 KB

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