Active Controller Design for the Generalized Projective Synchronization Of Three-Scroll Chaotic Systems

Abstract

This paper discusses the design of active controllers for generalized projective synchronization (GPS) of identical Wang 3-scroll chaotic systems (Wang, 2009)

Hybrid Synchronization Between 5-th Order Hyperchaotic Chua Systems

“…, which satisfies the conditions for stability (8) and (9) [ ] On figure 3, the error functions (21) are shown, which confirm the entering of the two hyperchaotic systems (17) and (19) in a regime of hybrid chaotic synchronization after a transient process of approximately 3 s. Similar results are obtained for different sets of initial conditions of the two systems.…”

“…This is the case, when the sum, and not the difference, between the corresponding pairs of variables must tend to zero. Recently, the concept of hybrid synchronization is introduced [8]. When a particular chaotic synchronization system is designed in such way, that some of the pairs of variables of the two synchronized chaotic systems are identically synchronized, and the other pairs are anti-synchronized, the two chaotic systems are said to be hybrid-synchronized.…”

“…When a particular chaotic synchronization system is designed in such way, that some of the pairs of variables of the two synchronized chaotic systems are identically synchronized, and the other pairs are anti-synchronized, the two chaotic systems are said to be hybrid-synchronized. It has been found, that if such type of synchronization system is used in a chaotic communication system instead of the more typical identical synchronization system, this can increase the degree of protection of the transmitted information [8].…”

Design of adaptive feedback control for new 3D chaotic system and its digital implementation on FPGA

“…Still the chaos synchronization is a nontrivial task interesting impact on chaos based engineering applications such as secure communications etc. In last two decades many researchers presented the chaos synchronization using master -slave methodology (11)(12)(13)(14)(15)(16)(17)(18)(19)(20)(21)(22)(23)(24)(25)(26)(27)(28)(29) . In this methodology, particular chaotic system is considered as master system and another or same chaotic system can be considered as the slave system.…”