A four-dimensional multi-stable autonomous memristive chaotic circuit

A chaotic circuit and multi-stable technology, applied in CAD circuit design, secure communication through chaotic signals, electrical components, etc., can solve the problems of complex four-dimensional memristive chaotic circuits and cannot meet the needs of secure communication, and achieve rich dynamic behavior, Improved security, the effect of complex topology

CN108737062BActive Publication Date: 2020-03-17ZHENGZHOU UNIVERSITY OF LIGHT INDUSTRY
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Publication Date
2020-03-17

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Abstract

The invention provides a four-dimensional multistable autonomous memristor chaotic circuit. Four circuit channels are established through utilization of 19 resistors, 4 capacitors, 9 operational amplifiers, 3 multipliers and 4 tangent modules. Output signals of a first channel, a second channel and a fourth channel are taken as input signals of the first channel. The output signals of the first channel, the second channel and a third channel are taken as the input signals of the second channel. The output signals of the second channel and the third channel are taken as the input signals of thethird channel. The output signals of the first channel are taken as the input signals of the fourth channel. Right sides of chaotic circuit characteristic equations are composed of tangent trigonometric function operation. Due to periodicity of trigonometric functions, a great number of unfixed attractors exist; through increase of the attractors, a topology structure is relatively complex; dynamic behaviors are relatively rich; the multistable dynamic property can be generated; the security of the secret communication is improved to a certain degree; and the technical reference is provided by a chaotic system in secret communication application.
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Description

technical field

[0001] The invention relates to the technical field of chaotic signal generators, in particular to a four-dimensional multi-stable autonomous memristor chaotic circuit. Background technique

[0002] Chaos is a seemingly random and irregular dynamic behavior in a bounded area generated in a deterministic system. It interpenetrates, promotes and develops with other disciplines. It is widely used in electronic engineering, information engineering, communication engineering, Mechanical engineering and other fields have broad application prospects.

[0003] Memristor, as an electronic component with memory function, will inevitably lead to changes in the structural system, principle, and design theory of electronic circuits, and will promote the development of new application fields in the electronics industry. In the four-dimensional memristive chaotic circuit, it is found in the memristive chaotic current that due to the intervention of memristor in the circuit...

Examples

Embodiment Construction

[0027] The following will clearly and completely describe the technical solutions in the embodiments of the present invention with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some, not all, embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.

[0028] A four-dimensional multi-stable autonomous memristive chaotic circuit uses resistors, capacitors, operational amplifiers, multipliers and tangent modules to construct four circuit channels. The chaotic circuit characteristic equations of the four circuit channels are all composed of tangent signals. The chaotic circuit characteristic equation is:

[0029]

[0030] Among them, u1, u2, u3, u4 are variables, Denote the derivatives of the independent va...