Generalized synchronization of fractional-order hyperchaotic systems and its DSP implementation

Synchronization of Fractional-Order Complex Chaotic Systems Based on Observers

“…In this paper, we only study the CMPS of FOCCS theoretically but do not study hardware implementation. Recently, there are many papers considering the implementation of the fractional-order operator and fractional-order synchronization scheme [40][41][42][43], which provide good research ideas for the implementation of the CMPS proposed in this paper. Therefore, we will further investigate the hardware implementation of the CMPS of FOCCS in future work.…”

Coexisting Three-Scroll and Four-Scroll Chaotic Attractors in a Fractional-Order System by a Three-Scroll Integer-Order Memristive Chaotic System and Chaos Control

“…For example, a fractional-order memristor-based simplest chaotic circuit with double-scroll and four-scroll attractors using fourth-degree polynomial [21] was reported by Teng et al and a fractional-order memristor-based chaotic system with single-scroll attractor and a stable equilibrium point [28] was reported by Prakash et al, and a fractional-order memristor-based chaotic system with coexisting attractors [1] was reported by Zhou and Ke. Moreover, some fractional-order chaotic systems have been implemented by electronic circuit, e.g., a fractional-order Lorenz hyperchaotic system has been implemented by DSP [29], a 4-D nonequilibrium fractional-order chaotic system has been implemented by EWB [30], and the fractional-order Complexity 2 chaotic systems with two equilibriums and no equilibrium have been realized by FPGA [31].…”

Secure Communications Based on the Projective Synchronization of Four-Dimensional Hyperchaotic Systems

“…Nowadays using computers and DSP chips to implement controllers of discrete-time systems has become very common and simple. Hence, several researchers have designed and implemented discrete-time secure communication systems [44][45][46].…”

“…The design of chaos based secure communication schemes has been tackled by many researchers. Several communication schemes were proposed in the unidirectional configuration [36] and the bidirectional configuration [47] for continuous-time systems [36,48] and for discrete-time systems [47], using chaos synchronization [36], hyperchaos synchronization [45], projective synchronization [47], and other types of synchronization [36]. However, several techniques can be combined to further enhance the security and to make it easier to implement the proposed schemes.…”