Generalised projective synchronisation of novel 3-D chaotic systems with an exponential non-linearity via active and adaptive control Online publication date: Wed, 22-Oct-2014
by Sundarapandian Vaidyanathan
International Journal of Modelling, Identification and Control (IJMIC), Vol. 22, No. 3, 2014
Abstract: Generalised projective synchronisation (GPS) of chaotic systems is a general type of synchronisation, which includes known synchronisation types such as complete synchronisation, anti-synchronisation, hybrid synchronisation and projective synchronisation as special cases. This research work also introduces a novel 3-D chaotic system with an exponential non-linearity. Phase portraits of the strange chaotic attractor for the novel chaotic system are described. The novel chaotic system is a dissipative system with fractional Lyapunov dimension. The novel chaotic system has two saddle-foci equilibrium points, which are both unstable. Since the maximal Lyapunov exponent (MLE) for the novel chaotic system has a large value, viz. L1 ? 15.4249, the novel 3-D chaotic system exhibits strong chaotic behaviour. New results are derived for the GPS of identical novel chaotic systems using Lyapunov stability theory. First, active control method is used for deriving new results for the GPS of novel chaotic systems with known parameters. Then, adaptive control method is used for derived new results for the GPS of novel chaotic systems with unknown system parameters. All the main results are established using Lyapunov stability theory. Numerical simulations are shown using MATLAB to validate and demonstrate the GPS results derived in this paper for the novel chaotic systems with an exponential non-linearity.
Online publication date: Wed, 22-Oct-2014
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 email@example.com