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Dual-parameter constant-Lyapunov-exponent four-dimensional autonomous super-chaos system

A hyper-chaotic, dual-parameter technology, applied in digital transmission systems, transmission systems, electrical components, etc., can solve problems such as methods without a system, and achieve the effect of promoting development, simple circuit implementation, and easy integration

Inactive Publication Date: 2013-08-14
ZHENGZHOU UNIVERSITY OF LIGHT INDUSTRY
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

Currently, there is no systematic approach to the design of hyperchaos

Method used

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  • Dual-parameter constant-Lyapunov-exponent four-dimensional autonomous super-chaos system
  • Dual-parameter constant-Lyapunov-exponent four-dimensional autonomous super-chaos system
  • Dual-parameter constant-Lyapunov-exponent four-dimensional autonomous super-chaos system

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Embodiment Construction

[0037] Such as figure 1 As shown, the present invention is a four-dimensional autonomous hyperchaotic system with a constant Lyapunov exponent of two parameters, including a mathematical model and an implementation circuit, and the mathematical model is represented by formula (1):

[0038] (1)

[0039] in is the state variable of the system, is the system parameter. when parameter and When , the system exhibits hyperchaotic behavior.

[0040] Considering that the state variables of the system are in a large dynamic range, which is beyond the reasonable voltage supply range, it can be solved by the transformation of the system state variables. A proper conversion can be expressed as: , , , . Under this scale transformation, the original mathematical model can be transformed into formula (2):

[0041] (2)

[0042] The state variables of the system in the mathematical model (2) have a similar range of dynamic changes, and do not ex...

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Abstract

The invention discloses a dual-parameter constant-Lyapunov-exponent four-dimensional autonomous super-chaos system. The dual-parameter constant-Lyapunov-exponent four-dimensional autonomous super-chaos system comprises a math model and a realization circuit, and is characterized in that the realization circuit comprises a first channel circuit, a second channel circuit, a third channel circuit and a fourth channel circuit; the first channel circuit, the second channel circuit, the third channel circuit and the fourth channel circuit comprise three operational amplifiers, and auxiliary resistance and capacitor components that can realize four functions of the math model, respectively; and the realization circuit also comprises four analog multipliers used for realizing two quadratic product terms and a cubic product term of the math model. The realization circuit of the invention is simple in structure and convenient for integration, and can greatly promote the development of the chaos system in the technical fields of electronic measuring, weak signal detection, image encryption and privacy communication.

Description

technical field [0001] The invention relates to the technical fields of electronic measurement, weak signal detection, image encryption and secure communication, in particular to a mathematical model of a four-dimensional autonomous hyperchaotic system with double parameters and constant Lyapunov exponent. Background technique [0002] Rossler proposed the concept of hyperchaos in 1979 and finally proposed the hyperchaotic Rossler system. Compared with the chaotic system, the hyperchaotic system has two or more positive Lyapunov exponents, the phase trajectory is separated in multiple directions, and its dynamic behavior is more complicated. Studies have shown that chaotic signals with a positive Lyapunov exponent are easily deciphered when used as encrypted signals in secure communications, so simple chaotic signals are not suitable for encrypted signals, and complex hyperchaotic signals can improve the security of chaotic secure communications and chaotic information encry...

Claims

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Application Information

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IPC IPC(8): H04L9/00
Inventor 邓玮方洁王宏郑晓婉张昭晗
Owner ZHENGZHOU UNIVERSITY OF LIGHT INDUSTRY
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