Abstract
This paper addresses the control of the n-scroll Chua’s circuit. It will be shown how chaotic systems with multiple unstable periodic orbits (UPOs) detected in the Poincar´e section can be stabilized as well as taking the system dynamics from one UPO to another.
Highlights
Controlling chaos has become a challenging topic in nonlinear dynamics
Recent research results include modifying its nonlinear characteristics by using a generalized piecewise linear function (PWL) with multiple breakpoints to generate the so-called multi-scroll chaotic attractor
It can be foreseen that multi-scroll chaotic attractors will have many unusual practical applications in such fields as digital and secure communications, synchronous prediction, random bit generation, information systems, and so on
Summary
Controlling chaos has become a challenging topic in nonlinear dynamics. It has been studied in many scientific and engineering fields such as physics, chemistry, electrical circuit, etc., and several extension and applications of the original OGY control method [1] have been reported [2,3,4,5,6]. Belmahboul great efforts have been made by many In this endeavour, Arena et al [14] experimentally verified some n-double scroll chaotic attractors by using a state-controlled CNN-based circuit. It can be foreseen that multi-scroll chaotic attractors will have many unusual practical applications in such fields as digital and secure communications, synchronous prediction, random bit generation, information systems, and so on. Controlling such systems was first reported first in [18] in which unstable fixed points were well stabilized.
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