Analysis, properties and control of an eight-term 3-D chaotic system with an exponential nonlinearity Online publication date: Thu, 16-Apr-2015
by Sundarapandian Vaidyanathan
International Journal of Modelling, Identification and Control (IJMIC), Vol. 23, No. 2, 2015
Abstract: In this research work, an eight-term 3-D novel chaotic system with an exponential nonlinearity has been derived. The basic qualitative properties of the 3-D chaotic system have been discussed in detail. The new chaotic system has only one equilibrium point, which is a saddle-point. Hence, the system has an unstable equilibrium. The Lyapunov exponents of the 3-D chaotic system are obtained as L1 = 14.0893, L2 = 0 and L3 = -33.9828. Since the maximal Lyapunov exponent of the novel chaotic system is L1 = 14.0893, which is a large value, the novel chaotic system has strong chaotic behaviour. The Lyapunov dimension of the chaotic system is obtained as DL = 2.4146. Next, an adaptive control law has been designed to stabilise the unstable chaotic system with unknown system parameters. The adaptive control result has been established using Lyapunov stability theory. MATLAB simulations have been shown in detail to illustrate the phase portraits and adaptive control results for the novel chaotic system.
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Modelling, Identification and Control (IJMIC):
Login with your Inderscience username and password:
Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.
If you still need assistance, please email subs@inderscience.com
Our Blog 
Follow us on Twitter 
Visit us on Facebook