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A realization circuit of a fourth-order complex-valued hyperchaotic system

A hyper-chaotic and complex-valued technology, which is applied in the field of mathematical models of fourth-order complex-valued hyper-chaotic systems and the realization of circuits, can solve problems such as difficulty in reconstruction of phase space, and achieve easy integration, rich complex dynamic behavior, and circuit structure. simple effect

Active Publication Date: 2022-08-05
ZHENGZHOU UNIVERSITY OF LIGHT INDUSTRY
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Problems solved by technology

In addition, compared with the low-dimensional chaotic system, the output sequence of the hyperchaotic system has multiple positive Lyapunov exponents, and its phase space is more difficult to reconstruct

Method used

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  • A realization circuit of a fourth-order complex-valued hyperchaotic system
  • A realization circuit of a fourth-order complex-valued hyperchaotic system
  • A realization circuit of a fourth-order complex-valued hyperchaotic system

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Embodiment Construction

[0040] The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, but not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.

[0041] The invention provides a mathematical model of a fourth-order complex-valued hyperchaotic system as follows:

[0042]

[0043] Among them, x, y, z, w are system state complex variables, a, b, c, d, r, e are system parameters; Both represent the derivative of the complex variable of the system state with respect to time.

[0044] Let x=x 1 +jx 2 , y=x 3 +jx 4 , z=x 5 +jx 6 , w=x 7 , separate the real and imaginary ...

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Abstract

The present invention proposes a mathematical model and implementation circuit of the four -order releasing super chaos system.The constructed reproduction ultra -chaos system has three positive Li Yapino index and has a very rich chaos dynamic behavior.The implementation of the circuit from 23 operations amplifiers, 6 multiplications, 54 resistors, and 7 capacitors to build seven channel circuits, and 6 analog multiplication instruments are used to realize the four secondary multiplication of the repetition system;, 54 resistors and 7 capacitors are used to complete addition, reduction, voltage reversal and integral functions, respectively.The implementation circuit is simple and convenient for integration, which lays the foundation for the application of the override system in the field of information science and confidentiality communication.

Description

technical field [0001] The invention relates to the technical field of secure communication, in particular to a mathematical model and a realization circuit of a fourth-order complex-valued hyperchaotic system. Background technique [0002] Chaos refers to the uncertain or unpredictable random phenomenon presented by a definite nonlinear system under certain conditions, which reflects the combination of certainty and uncertainty, order and disorder, or regularity and irregularity. organic unity. The long-term unpredictability, ergodicity, and extreme sensitivity to initial conditions of chaos indicate that chaos will be widely used in cryptography. [0003] Complex chaotic system is the generalization and extension of the research field of chaotic system from the real number field to the complex number field. There are complex variables in the complex chaotic system. The complex variables have double the number of variables after separation of the virtual and real parts, a...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06N7/08
CPCG06N7/08
Inventor 刘娜刘鹏李宗翰邓玮方洁栗三一孙军伟王国印
Owner ZHENGZHOU UNIVERSITY OF LIGHT INDUSTRY
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