Abstract
Due to the complex behavior of a multiscroll chaotic system, it is a good candidate for the secure communications. In this paper, by adding an additional variable to the modified Lorenz-type system, a new chaotic system that includes only linear and piecewise items but can generate 4n + 4 scroll chaotic attractors via choosing the various values of natural number n is proposed. Its dynamics including bifurcation, multistability, and symmetric coexisting attractors, as well as various chaotic and periodic behaviors, are analyzed by means of attraction basin, bifurcation diagram, dynamic map, phase portrait, Lyapunov exponent spectrum, and C0 complexity in detail. The mechanism of the occurrence for generating multiscroll chaotic attractors is presented. Finally, this multiscroll chaotic system is implemented by using the Altera Cyclone IV EP4CE10F17C8 FPGA. It is found that this FPGA-based design has an advantage of requiring less resources for 0% of the embedded multipliers and 0% of the PLLs of this FPGA are occupied.
Highlights
As indicated in many open literatures, the chaotic system that can generate multishape chaotic attractors has complex dynamical behaviors so that it is difficult to decode its information when it is used in the field of secure communications
According to Chua’s circuit and using the sine function, a multiscroll chaotic system was introduced and implemented by an electronic circuit, which consists of the commercial trigonometric function chip AD639 and the corresponding auxiliary chips and basic circuit elements [1]
By using the hyperbolic tangent function series as the unique nonlinear function, a multiscroll chaotic system was presented and confirmed by an electronic circuit which is constructed by a unity gain voltage buffer, a single current-feedback operational amplifier, and a transconductor in [3]
Summary
As indicated in many open literatures, the chaotic system that can generate multishape chaotic attractors has complex dynamical behaviors so that it is difficult to decode its information when it is used in the field of secure communications. Based on the cellular neural networks and using the trigonometric function, a multiscroll chaotic system was given and analyzed in [2]. Based on the saturated function series, a multiscroll chaotic system that can generate 1D n-scroll, 2D n×m-grid scroll, and 3D n×m×l-grid scroll chaotic attractors was presented and implemented by using an electronic circuit in [8]. An improved highorder Chua’s circuit that can generate multiscroll chaotic attractor by introducing the signum function series was presented and analyzed in [10].
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