Three-order fractional order chaotic system capable of generating infinite coexisting attractors and construction method thereof

A technology of a chaotic system and a construction method, applied in the fields of computer image encryption, confidential communication, and information security, can solve problems such as unfavorable chaotic teaching demonstration, complex structure of fractional-order chaotic system, long sequence generation time, etc. The effect of simple structure and fast sequence time

Pending Publication Date: 2020-09-04
DALIAN MARITIME UNIVERSITY
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Problems solved by technology

It solves the technical problems of the existing fractional-order chaotic system with infinite coexistence special physical phenomena, which is not conducive to the teaching demonstration of chaos due to its complex structure, and is not conducive to its application in real-time encryption due to the long sequence generation time

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  • Three-order fractional order chaotic system capable of generating infinite coexisting attractors and construction method thereof
  • Three-order fractional order chaotic system capable of generating infinite coexisting attractors and construction method thereof
  • Three-order fractional order chaotic system capable of generating infinite coexisting attractors and construction method thereof

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Embodiment Construction

[0046] In order to enable those skilled in the art to better understand the solutions of the present invention, the following will clearly and completely describe the technical solutions in the embodiments of the present invention in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are only It is an embodiment of a part of the present invention, but not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts shall fall within the protection scope of the present invention.

[0047] It should be noted that the terms "first" and "second" in the description and claims of the present invention and the above drawings are used to distinguish similar objects, but not necessarily used to describe a specific sequence or sequence. It is to be understood that the data so used are interchangeable under appropriate ...

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Abstract

The invention provides a three-order fractional order chaotic system capable of generating infinite coexisting attractors and a construction method thereof. The method comprises: based on Caputo calculus, constructing a mathematical model of a three-order fractional order chaotic system; obtaining a numerical solution of the three-order fractional order chaotic system by using an Adomain decomposition method; performing numerical simulation on infinite coexistence attractors generated by the third-order fractional order chaotic system; using a digital signal processing technology, tophysically realizing infinite coexisting attractors generated by the three-order fractional order chaotic system based on TMS320F28335. According to the invention, the Adomain decomposition method is utilizedto construct the third-order fractional order chaotic system with infinite coexisting attractors, the technical problems that a conventional fractional order system with the infinite coexisting special physical phenomenon is not beneficial to teaching demonstration due to the complex structure and is not beneficial to being applied to real-time encryption due to the long sequence generation timeare solved.

Description

technical field [0001] The invention relates to the technical fields of secure communication, information security, and computer image encryption, in particular to a third-order fractional-order chaotic system capable of generating infinitely many coexisting attractors and a construction method thereof. Background technique [0002] Fractional calculus is an ancient method of calculation. Due to the non-locality of the fractional derivative operator, its fractional derivative with respect to time is especially suitable for describing the process of memory, and its fractional derivative with respect to space is especially suitable for describing the process of anomalous diffusion. In recent years, a great deal of research has been done on numerical solutions of fractional diffusion equations. With the development of natural science and social science, people gradually found that traditional integral-order ordinary differential equations cannot effectively represent some char...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/00
CPCH04L9/001
Inventor 王兴元叶晓林
Owner DALIAN MARITIME UNIVERSITY
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