Different-dimensional switchable chaotic system design method and circuit

A chaotic system and design method technology, applied in the field of digital random sequence cryptography, can solve the problems of limited chaotic signals, inability to realize circuit switching between chaotic systems of different dimensions and ultra-chaotic systems, etc.

Inactive Publication Date: 2012-01-25
JIANGXI UNIV OF SCI & TECH
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Problems solved by technology

However, in the literature, the switch of the nonlinear term is controlled by the switch selector to realize the switching of the chaotic circuit, and it is only switched between two three-dimensional chaotic circuits. The chaotic signal generated by the switching circuit is limited, and different dimensions cannot be realized. Switching Between Chaotic System and Hyperchaotic System Circuits

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  • Different-dimensional switchable chaotic system design method and circuit
  • Different-dimensional switchable chaotic system design method and circuit
  • Different-dimensional switchable chaotic system design method and circuit

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Embodiment Construction

[0062] The present invention will be further illustrated by the following examples in conjunction with the accompanying tables and accompanying drawings.

[0063] Example. Design and realize the switching circuit of different-dimensional hyperchaotic system.

[0064] The invention designs a hyperchaotic system switching circuit based on a system switching method. Through the method of S(4) and S(5), a new system equation is obtained:

[0065] (6).

[0066] Then according to the circuit theory and the characteristics of each component, the circuit equation is obtained as:

[0067] (7).

[0068] The values ​​of components such as resistors and capacitors in formula (7) are as follows: figure 1 (or figure 2 and image 3 ) shown. where C=10nF, R=10 , R 1 =10.5 , R 2 =R 3 =19.6 , R 4 =392 , R 5 =R 6 =3 , R 7 =3 , R 8 =10 , R 9...

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Abstract

The invention relates to a different-dimensional switchable chaotic system design method and a circuit; a four-dimensional hyper-chaos system is constructed by adding variables and feeding back control items based on a three-dimensional generalized Lorenz system family; and a switchable different-dimensional chaotic circuit is designed through a plurality of switch controllers in Multisim software. An analog circuit constructed by the invention is convenient to use and easy to realize by hardware, and has relatively lower cost; the designed switchable circuit not only can flexibly realize the switching between a three-dimensional chaotic system and the four-dimensional hyper-chaos system, but also can return to realize the switch among three chaotic systems in the same dimension; and the systems can serve as practical chaotic modulation and chaotic encryption signals, and can be widely applied to the field of information security cryptography with higher requirements on confidentiality and reliability.

Description

technical field [0001] The invention belongs to the chaotic synchronous control technology in nonlinear dynamics, in particular to the field of digital random sequence cryptography in information security cryptography. Background technique [0002] Lorenz Equation was the first chaos model and became the paradigm of later chaos research. Positivity of classical low-dimensional chaotic systems Lyapunov The number of exponents is small, and the complexity of the system is not enough, which will be limited due to the narrow bandwidth in specific practical applications. A hyperchaotic system proposed by feedback extending the system dimension, with two or more positive Lyapunov The index, the phase space trajectory is separated in more directions, and its dynamic behavior is more complex, which can better meet the practical needs of spread spectrum, secure communication, and radar synchronization control. In recent years, researchers have carried out fruitful explorations ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/00
Inventor 张小红高杰
Owner JIANGXI UNIV OF SCI & TECH
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