Circuit implementation and multiform intermittency in ahyper-chaotic model extended from Lorenz system
ChenZeng-Qianga, Wu Wen-Juana, Cang Shi-Jianb
a Department of Automation, Nankai University, Tianjin
300071, China; b Department of Industry Design, Tianjin
University of Science and Technology, Tianjin 300222,
China;Department of Automation, Nankai University, Tianjin
300071, China
Abstract This paper presents a non-autonomous hyper-chaotic system, which is
formed by adding a periodic driving signal to a four-dimensional
chaotic model extended from the Lorenz system. The resulting
non-autonomous hyper-chaotic system can display any dynamic behaviour
among the periodic orbits, intermittency, chaos and hyper-chaos by
controlling the frequency of the periodic signal. The phenomenon has been
well demonstrated by numerical simulations, bifurcation analysis and
electronic circuit realization. Moreover, the system is concrete
evidence for the presence of Pomeau--Manneville Type-I intermittency and
crisis-induced intermittency. The emergence of a different type of
intermittency is similarly subjected to the frequency of periodic
forcing. By statistical analysis, power scaling laws consisting in
different intermittency are obtained for the lifetime in the laminar
state between burst states.
Received: 25 August 2008
Revised: 26 November 2008
Published: 20 May 2009
Fund: Project supported in
part by the
National Natural Science Foundation of China (Grant Nos 60774088 and 10772135),
the Program for New Century Excellent Talents in University of China
(NCET), the Foundation of the Application Base and Frontier
Technology R
Cite this article:
Cang Shi-Jian, ChenZeng-Qiang, Wu Wen-Juan Circuit implementation and multiform intermittency in ahyper-chaotic model extended from Lorenz system 2009 Chin. Phys. B 18 01792
