Synchronization Method of Point Product Function Projection Based on Bowtie Laser Complex Chaotic System

Abstract

The present invention proposes a point product function projection synchronization method based on a bowtie laser complex chaotic system. First, the point product operation is designed based on the vector dot product operation, and the state error model of the synchronization system is constructed by using the point product remote calculation, wherein the synchronization The system includes the first drive system, the second drive system and the response system; secondly, the sliding mode controller is designed according to the state error model of the synchronization system, and the sliding mode controller is added to the response system to obtain the point product function projection synchronization model; finally , the four-dimensional laser hyperchaotic system is extended from the real number domain to the complex number domain, and a laser complex chaotic system with a bow-tie chaotic attractor is obtained, and the laser complex chaotic system is used to simulate the point product function projection synchronization model. The invention proposes a point product function projection synchronization method, realizes the point product function projection synchronization of the bowtie laser complex chaos system based on the sliding mode control method, and lays a foundation for the laser complex chaos system to be applied to the fields of optical security communication and the like.

Description

technical field [0001] The invention relates to the technical field of chaotic systems, in particular to a point product function projection synchronization method based on a bowtie laser complex chaotic system. Background technique [0002] Chaos is an inherent characteristic of nonlinear dynamical systems, and is a ubiquitous phenomenon in nonlinear systems. Newton's deterministic theory can deal with linear systems, and linear systems are mostly simplified by nonlinear systems. In real life and practical engineering technology problems, chaos is ubiquitous. At present, chaos theory has been widely used in mathematics, biology, information technology, economics, engineering, physics, and many other scientific disciplines. [0003] Under the trend of rapid development of modern communication technology, especially all-optical network, optical chaos and its secure communication technology have attracted widespread attention at home and abroad because of its unique advantag...

AI Technical Summary

Problems solved by technology

Most of the existing complex chaotic systems and their synchronization research are based on complex chaotic circuits, and there is no relevant report on laser complex chaotic systems.

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