Dynamical analysis, circuit realization, and application in pseudorandom number generators of a fractional-order laser chaotic system*

Abstract

A new five-dimensional fractional-order laser chaotic system (FOLCS) is constructed by incorporating complex variables and fractional calculus into a Lorentz–Haken-type laser system. Dynamical behavior of the system, circuit realization and application in pseudorandom number generators are studied. Many types of multi-stable states are discovered in the system. Interestingly, there are two types of state transition phenomena in the system, one is the chaotic state degenerates to a periodical state, and the other is the intermittent chaotic oscillation. In addition, the complexity of the system when two parameters change simultaneously is measured by the spectral entropy algorithm. Moreover, a digital circuit is design and the chaotic oscillation behaviors of the system are verified on this circuit. Finally, a pseudo-random sequence generator is designed using the FOLCS, and the statistical characteristics of the generated pseudo-random sequence are tested with the NIST-800-22. This study enriches the research on the dynamics and applications of FOLCS.

Dynamical analysis, geometric control and digital hardware implementation of a complex-valued laser system with a locally active memristor

“…[1] Compared with the traditional chaotic systems, laser chaotic systems usually have larger bandwidth, lower attenuation, more complex dynamical behaviors, and greater sensitivity to parameter variations, [2,3] so they can be widely used in high-speed remote confidential communications. [4,5] Since the advent of artificial intelligence, much attention has been paid to neuroprosthetics, which aims to develop electronic devices implanted in the brain to repair missing or malfunctioning brain functions due to trauma or diseases. And we know the human brain consists of approximately 86 billion neurons interconnected in a complex way by 100-500 trillion synapses to perform computational, cognition, and memory tasks, [6] which means that the study of artificial neurons is one of the key researches in neuroprosthetic technology.…”