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Analog circuit based on four-dimensional conservative chaotic system

A chaotic system and analog circuit technology, applied in the field of communication engineering, can solve problems such as difficult circuit implementation and complex structure, and achieve the effects of strong anti-noise interference, large key space, and wide key distribution range

Pending Publication Date: 2022-07-08
LANZHOU UNIVERSITY
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Problems solved by technology

[0003] The purpose of the present invention is to provide a four-dimensional conservative chaotic system for the problems existing in the prior art, and realize it with analog circuit devices, which solves the technical problem that the existing conservative chaotic system has a complex structure and is not easy to realize with circuits

Method used

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  • Analog circuit based on four-dimensional conservative chaotic system
  • Analog circuit based on four-dimensional conservative chaotic system
  • Analog circuit based on four-dimensional conservative chaotic system

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Embodiment Construction

[0029] The technical solutions of the present invention will be described below with reference to the accompanying drawings and implementation methods.

[0030] The invention constructs an analog circuit based on a four-dimensional conservative chaotic system. Compared with the existing four-dimensional conservative chaotic system, the system has five linear terms and one nonlinear function term, and has a simple structure and is easy to realize in a circuit.

[0031] In the following, the conservative and chaotic properties of the chaotic system are confirmed through the analysis of the dissipative properties, phase diagram, equilibrium point, Lyapunov exponent spectrum and bifurcation diagram of the chaotic system. Compared with the ordinary dissipative chaotic system, the The chaotic system has a wider chaotic parameter interval.

[0032] The four-dimensional conservative chaotic system equation realized by this circuit is as follows:

[0033]

[0034] Among them, (x, y...

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Abstract

Compared with an existing four-dimensional conservative chaotic system, the analog circuit based on the four-dimensional conservative chaotic system has five linear terms and one nonlinear function term, and is simple in structure and easy to realize. And the conservative property and chaos property of the system are confirmed by analyzing the dynamic characteristics such as dissipative property, phase diagram, equilibrium point, Lyapunov exponential spectrum and bifurcation diagram of the system. Compared with a common dissipative chaotic system, the method has a wider chaotic parameter interval, and a more reliable selection scheme can be provided for application of a conservative chaotic system in the fields of communication encryption and the like.

Description

technical field [0001] The invention belongs to the technical field of communication engineering, and relates to an analog circuit based on a four-dimensional conservative chaotic system. Background technique [0002] Nonlinear problems exist widely in various disciplines such as nature and society, and are changing people's traditional view of the real physical world. Since the publication of an article entitled "Cycle 3 Implies Chaos" in 1975, and the word chaos was formally established, chaos theory has received extensive attention and research as an important part of nonlinear science. However, although a large number of chaotic and hyperchaotic systems have been proposed, the development of various research directions is uneven, most of which are dissipative chaotic systems, and conservative chaotic systems are very rare. Different from dissipative chaotic systems, conservative chaotic systems have no attractors, have better ergodicity, and are more suitable for applic...

Claims

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Application Information

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IPC IPC(8): H04L9/00
CPCH04L9/001
Inventor 杜娟杜久龙卢保庆李守亮李浩然赵泽洋
Owner LANZHOU UNIVERSITY
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