Unlock instant, AI-driven research and patent intelligence for your innovation.

Adaptive synchronization method and circuit for Rikitake-system-based four-dimensional hyperchaotic system without equilibrium point

A chaotic system and ultra-chaotic technology, applied in the field of self-adaptive synchronization methods and circuits for four-dimensional hyper-chaotic systems without equilibrium points, can solve the problems that the four-dimensional hyper-chaotic system has not been proposed

Inactive Publication Date: 2016-01-20
王晓红
View PDF7 Cites 2 Cited by
  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0002] At present, the existing hyperchaotic system generally adds one dimension to the three-dimensional chaotic system with three equilibrium points to form a four-dimensional hyperchaotic system with at least one equilibrium point. It has not been proposed. On the basis of the three-dimensional Rikitake chaotic system, the present invention proposes a four-dimensional hyper-chaotic system without an equilibrium point, and designs an adaptive synchronization method and circuit, which provides a kind of new methods and ideas

Method used

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View more

Image

Smart Image Click on the blue labels to locate them in the text.
Viewing Examples
Smart Image
  • Adaptive synchronization method and circuit for Rikitake-system-based four-dimensional hyperchaotic system without equilibrium point
  • Adaptive synchronization method and circuit for Rikitake-system-based four-dimensional hyperchaotic system without equilibrium point
  • Adaptive synchronization method and circuit for Rikitake-system-based four-dimensional hyperchaotic system without equilibrium point

Examples

Experimental program
Comparison scheme
Effect test

Embodiment Construction

[0045] Below in conjunction with accompanying drawing and preferred embodiment the present invention is described in further detail, see Figure 1-Figure 6 .

[0046] 1. The self-adaptive synchronization method of four-dimensional hyperchaotic system based on the Rikitake system is characterized in that it comprises the following steps:

[0047] (1) Rikitake three-dimensional chaotic system i is:

[0048] d x / d t = - μ x + y z ...

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More

PUM

No PUM Login to View More

Abstract

The invention relates to a chaotic system and an analog circuit, and especially relates to an adaptive synchronization method and a circuit for a Rikitake-system-based four-dimensional hyperchaotic system without an equilibrium point. At present, the existing hyperchaotic system generally adds one dimension on the basis of a three-dimensional chaotic system with three equilibrium points to form a four-dimensional hyperchaotic system with at least one equilibrium point, and a four-dimensional hyperchaotic system without the equilibrium point has not been proposed; the invention discloses a four-dimensional hyperchaotic system without the equilibrium point on the basis of a three-dimensional Rikitake chaotic system, designs the adaptive synchronization method and the circuit, and provides a new method and idea for the application of the chaotic system in communication and other engineering fields.

Description

technical field [0001] The invention relates to a chaotic system and an analog circuit, in particular to an adaptive synchronization method and circuit of a four-dimensional hyper-chaotic system without an equilibrium point based on the Rikitake chaotic system. Background technique [0002] At present, the existing hyperchaotic system generally adds one dimension to the three-dimensional chaotic system with three equilibrium points to form a four-dimensional hyperchaotic system with at least one equilibrium point. It has not been proposed. On the basis of the three-dimensional Rikitake chaotic system, the present invention proposes a four-dimensional hyper-chaotic system without an equilibrium point, and designs an adaptive synchronization method and circuit, which provides a kind of New methods and ideas. Contents of the invention [0003] The technical problem to be solved in the present invention is to provide a kind of non-equilibrium hyperchaotic system adaptive sync...

Claims

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More

Application Information

Patent Timeline
no application Login to View More
Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/00
Inventor 王晓红
Owner 王晓红