A generalized chaotic synchronization method for controlled Rucklidge system and Lorenz system applied to secure communication is presented

Abstract

A generalized chaotic synchronization method of a controlled Rucklidge system and a Lorenz system applied to secure communicationcomprises the following steps: 1) description of the generalized chaotic synchronization problem; 2) state transformation and feedback of the response system; 3) state transition of driving system; 4) Generalized synchronization. The invention provides the generalized chaotic synchronization method of a controlled Rucklidge system and a Lorenz system applied to secure communication, with Taking Lorenz system as driving system and single input controlled Rucklidge system as response system, a chaotic synchronization algorithm is designed by using Lie derivative method of vector field in differential geometry, which realizes generalized synchronization and high control quality.

Description

Technical field

[0001] The invention belongs to the technical field of chaotic synchronization applicable to secure communication, and particularly relates to a chaotic synchronization method that uses a Lorenz chaotic system as a driving system and a single-input controlled Rucklidge system as a response system. Background technique

[0002] Chaotic motion is a branch of the nonlinear subject field, but the scope of its involvement has greatly exceeded the boundaries of the traditional nonlinear subject field. It has developed into a comprehensive, intersecting, and cross-field subject branch, which has greatly broadened people's understanding of nonlinearity. From a scientific perspective, we have a deeper understanding of nonlinear science.

[0003] Chaos is also used in laser secure communication. A typical application is chaotic modulation. Chaotic modulation is a method proposed by Halle and Hasler in 1992 to solve complex problems in secret communication. The basic idea is...

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