Memristor hyperchaos system and circuit with abundant dynamic behaviors

A chaotic system and dynamics technology, applied in logic circuits, electrical components, pulse technology, etc., can solve the problems of large volume and high power consumption of chaotic systems

Inactive Publication Date: 2014-08-27
SOUTHWEST UNIVERSITY
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  • Summary
  • Abstract
  • Description
  • Claims
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Problems solved by technology

However, the chaotic system contains nonlinear parts. If the chaotic system is designed with existing components, it will generate large power consumption and the volume of the chaotic system will be relatively large.

Method used

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  • Memristor hyperchaos system and circuit with abundant dynamic behaviors
  • Memristor hyperchaos system and circuit with abundant dynamic behaviors
  • Memristor hyperchaos system and circuit with abundant dynamic behaviors

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Embodiment Construction

[0044] The present invention will be further described below in conjunction with the drawings and specific embodiments.

[0045] The dimensionless equation of the chaotic system proposed by the present invention is:

[0046] dx dτ = z dy dτ h + u dy dτ = a + w + bf ( - | x | ) du dτ = g 1 ( y ) dz dτ = - cz - du - ew + fg 2 ( x ) - - - ( 1 )

[0047] In the formula, a, b, c, d, e, f and h are constants, and c=d=e=f=0.5 are fixed coefficients, and the chaotic attractors obtained by setting different values ​​of a, b and h are different . There are three nonlinear terms in the formula. Through the derivation in the literature (Lidan Wang. MEMRISTOR MODEL AND ITS APPLICATION FOR CHAOS GENERATION. International Journal of Bifurcation and Chaos World Scientific Publishing Company), we can get the electromagnetic controlled memristor mod...

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Abstract

The invention discloses a memristor hyperchaos system and circuit with abundant dynamic behaviors. The new fifth-order memristor hyperchaos system is provided and has the abundant chaos dynamic behaviors and phase track graphs at different angles, and the different chaos behaviors such as grids and scrolls can be seen. A basic step for generating a complex dynamic chaos system through a memristor in future is made.

Description

Technical field [0001] The invention relates to a chaotic system and circuit. Background technique [0002] Memristor is a kind of non-linear resistor with memory function. It represents the relationship between electric charge and magnetic flux, and has the function of "remembering" the previous current. It was first proposed by Professor Shaotang Tsai of the University of California, Berkeley in 1971. Until May 2008, scientists at HP Labs wrote in the journal Nature that they successfully developed the world's first memristor. The existence of the memristive element increases the basic elements of circuit design from resistance, capacitance and inductance to four. The memristor provides a new development space for circuit design and its memristive circuit application. [0003] Since the first chaotic system was discovered by Lorenz in 1963, the study of chaos has continued to go deeper and more valuable. It is increasingly playing an important role in different fields. However...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H03K19/00
Inventor 李慧芳王丽丹段书凯
Owner SOUTHWEST UNIVERSITY
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