Further Results on Ultimate Bound on the Trajectories of the Lorenz System

Fuchen Zhang ^[1] ; Guangyun Zhang ^[2]
1. [1] Chongqing Technology and Business University
  
  Chongqing Technology and Business University
  
  China
2. [2] Southwest Petroleum University
  
  Southwest Petroleum University
  
  China
Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 15, Nº 1, 2016, págs. 221-235
Idioma: inglés
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Resumen
- This paper gives further results on ultimate bound on the trajectories of the Lorenz system based on Lyapunov function stability theory. Explicit estimations of the ultimate bounds are derived. The meaningful contribution of this article is that the results presented in this paper contain the existing results as special cases. Computer simulation results show that the proposed method is effective.