Resumen de Some New Results for the Generalized Lorenz System

Fuchen Zhang, Xiaofeng Liao, Guangyun Zhang

• The bound of a chaotic dynamical system is important for chaos control, chaos synchronization, estimating the dimensions of chaotic attractors, and other engineering applications. It is a difficult work to get the bounds of a chaotic dynamical system. This paper further studies the bounds of the generalized Lorenz system (2) for a11 < 0, a22 > 0, λ3 < 0 based on Lyapunov stability theory. To the best of our knowledge, it is a very difficult task to study the bounds of the system (2) for a11 < 0, a22 > 0, λ3 < 0 and there are few papers to study the bounds of chaotic systems for this case.