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Hamilton energy conservative chaotic signal generator

A Hamiltonian and chaotic signal technology, which is applied in the field of Hamiltonian energy conservative chaotic signal generators, can solve problems affecting public information security and other issues, and achieve the effect of fewer components, compact circuit structure, and easy integration

Pending Publication Date: 2020-09-04
TIANJIN UNIV OF SCI & TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

Encryption algorithms based on dissipative chaotic systems have fixed attractors and are easily cracked by attackers through spatial reconstruction, which seriously affects the security of public information.

Method used

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  • Hamilton energy conservative chaotic signal generator
  • Hamilton energy conservative chaotic signal generator
  • Hamilton energy conservative chaotic signal generator

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Experimental program
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specific Embodiment approach 1

[0023] Specific implementation mode 1: This implementation mode describes in detail the Hamiltonian energy conservative chaotic system model proposed by the present invention:

[0024] 1. The present invention has designed the chaotic dynamics equation of the Hamiltonian energy conservative chaotic system, as follows:

[0025]

[0026] where x, y, z, w are state variables. The system has 5 non-linear terms, of which there are three cross-product terms and two square terms.

[0027] 2. Dynamic characteristics of the system

[0028] Compared with other known chaotic systems, the system is mainly characterized by:

[0029] (1) Conservative features

[0030] This system is a conservative chaotic system in a stricter sense.

[0031] 1) Through the system chaotic dynamics equation (1), it can be found that the divergence of the system is 0, namely When the system parameter a=1 and the initial value is (1, 1, 1, 1), the Lyapunov exponent graph changing with the system parame...

specific Embodiment approach 2

[0042] Specific embodiment 2: This embodiment describes in detail the analog circuit of a kind of Hamiltonian energy conservative chaotic signal generator proposed by the present invention:

[0043]The present invention realizes the above-mentioned chaotic system through a four-way anti-phase integral summing operation circuit, and provides an experimental basis for future engineering applications. circuit diagram as Figure 6 shown, according to Figure 6 The corresponding circuit equation can be obtained as follows:

[0044]

[0045] The circuit equations agree with the dynamic equations of the system. The chaotic signal source circuit is divided into four branches:

[0046] The first branch includes two analog operational amplifiers U1A and U1B, an analog multiplier A1, a capacitor C1 and four resistors R1, R3, R4 and R5. The negative pole of the analog operational amplifier U1A is connected to the output terminal of the analog operational amplifier U2B through the r...

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Abstract

The invention discloses a Hamilton energy conservative chaotic signal generator. Firstly, the divergence of the system is 0, and the Lyapunov index of the system is symmetrical about a transverse axis, which indicates that the volume of the system is conservative. Secondly, the derivative of the Hamilton energy function of the system is 0, which indicates that the Hamilton energy of the system isconservative. In addition, the Hamilton conservative chaotic system provided by the invention has a line balance point and a multistable phenomenon, and is complex in dynamic behavior. Finally, the Hamilton energy conservative chaotic circuit is only composed of seven TF347N type analog operational amplifiers, five analog multipliers, four capacitors, a small number of linear resistors and a fixedpower supply. The circuit is simple and compact in structure, few in used components, convenient to integrate and high in reliability. An experimental result of the designed circuit is consistent with a MATLAB numerical analysis result. Therefore, an effective circuit model is provided for engineering application, and technical preparation is provided for application of the system in the aspectsof secret communication, data hiding and the like.

Description

technical field [0001] The invention provides a Hamiltonian energy conservative chaotic signal generator, which belongs to the technical field of chaotic signal generator design. Background technique [0002] With the rapid development of the Internet in today's world and the rapid increase in the amount of information dissemination, people pay more and more attention to information security issues. With the deepening of the research of chaos theory, the application of chaos system in the field of secure communication is becoming more and more extensive. Chaos is an irregular movement with the characteristics of initial value sensitivity, ergodicity and pseudo-randomness, and long-term unpredictability. At present, most of the chaotic systems studied in the field of secure communication are dissipative systems. Encryption algorithms based on dissipative chaotic systems have fixed attractors and are easily cracked by attackers through spatial reconstruction, which seriously...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/00
CPCH04L9/001
Inventor 贾红艳石文欣王磊
Owner TIANJIN UNIV OF SCI & TECH
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