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Hidden multi-attractor generation circuit based on balance-point-free memristor system

A technology for generating circuits and attractors, applied in transmission systems, digital transmission systems, electrical components, etc., can solve problems such as unreachable commercial use, high overall cost, and difficult technical realization, and achieve large engineering application value and easy theoretical analysis , Ease of circuit integration

Inactive Publication Date: 2016-08-03
CHANGZHOU UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

The newly realized memristor is a nano-scale passive component, which is difficult to realize technically, and the overall cost is high, so it cannot be commercialized in a short period of time.

Method used

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  • Hidden multi-attractor generation circuit based on balance-point-free memristor system
  • Hidden multi-attractor generation circuit based on balance-point-free memristor system
  • Hidden multi-attractor generation circuit based on balance-point-free memristor system

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Embodiment Construction

[0023] Mathematical modeling: In order to facilitate analysis and circuit experiment verification, the constant term representing the strength of positive feedback in the three-dimensional self-excited oscillation system is set to 0, and the simplified mathematical model can be described as

[0024] x ·· = ( z + x 2 - βx 4 ) x · - ω 0 2 ...

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Abstract

The invention discloses a hidden multi-attractor generating circuit based on a non-equilibrium point memristive system realized by replacing a three-dimensional self-excited oscillation system with a voltage-controlled memristor to realize the linear coupling resistance at the input end of the integration circuit, including two parts: The voltage-controlled memristor equivalent realizes the circuit a and the three-dimensional self-excited oscillation system b; where the same ports of the circuit a and the circuit b are connected in sequence, the realized memristive system can present periodic limit cycles, quasi-periodic limit cycles, and chaotic attractors and hidden oscillation phenomena such as coexisting attractors. The circuit system is easy for numerical simulation, circuit simulation and experimental observation, and plays a great role in promoting the research and development of hidden multi-attractors.

Description

technical field [0001] The invention relates to a voltage-controlled memristor to replace a three-dimensional self-excited oscillation system to realize a linear coupling resistor at the input end of an integral circuit in a circuit, and realizes a hidden multi-attractor generating circuit based on a non-equilibrium point memristor system. Background technique [0002] For a long time, the research and exploration of chaotic systems composed of completely definite ordinary differential equations has never stopped in academic circles. Among them, the most widely studied is continuous chaotic systems represented by autonomous ordinary differential equations. Typical examples are Lorenz system and Chen system. and the Lü system et al. Based on the organic combination of operational amplifiers, resistors and capacitors, the addition, subtraction and integral operations of the chaotic system can be realized, and the nonlinear operation of the chaotic system can be realized based ...

Claims

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Application Information

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IPC IPC(8): H04L9/00G11C13/00
CPCH04L9/001G11C13/0069
Inventor 包伯成林毅徐权包涵张琴玲
Owner CHANGZHOU UNIV
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