Abstract
SHS investigation development is considered from the geographical and historical viewpoint. 3 stages are described. Within Stage 1 the work was carried out in the Department of the Institute of Chemical Physics in Chernogolovka where the scientific discovery had been made. At Stage 2 the interest to SHS arose in different cities and towns of the former USSR. Within Stage 3 SHS entered the international scene. Now SHS processes and products are being studied in more than 50 countries.
Abstract
This research article establishes anti-synchronization between the three-dimensional
non-identical nonlinear Chen-Lee, Lorenz-Stenflo and Liu-Chen chaotic systems via active
nonlinear control techniques. Phase portraits of master and slave systems in the form of antisynchronization are investigated. The stability results are discussed by the stability theory of
Lyapunov function. Anti-synchronization of chaotic Chen-Lee system and chaotic Lorenzstenflo systems as well as anti-synchronization of chaotic Chen-Lee and Liu-Chen systems have
been established using active control methodologies. The active control method is more
efficient to obtain the anti-synchronization between different chaotic systems. Numerical
results are also discussed by the proposed method.
Keywords:
Chen-Lee systems; Lorenz-Stenflo systems; Liu-Chen systems; Active control; Stability theory.
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Authors:Bentham Science Books