Hyper-chaotic signal source circuit of hidden Lu system based on memristor

Abstract

The invention discloses a hyper-chaotic signal source circuit of a hidden Lu system based on a memristor. A memristive term is added to a first equation of the original Lu system, and a linear feedback term and an external excitation term are added to a second equation. The system circuit comprises a memristor equivalent implementation circuit and an oscillating system. After the respective same ports of the memristor equivalent implementation circuit and the oscillating system are sequentially connected, the memristive system implemented does not have a balance point, can generate hidden oscillation phenomena of point attractors, periodic limit cycles, quasi-periodic limit cycles, chaotic attractors and hyper-chaotic attractors, etc., and can generate a hidden multi-attractor coexistencephenomenon of different periodic limit cycles or weak chaos and periodic limit cycles of a topological structure under different initial conditions, indicating that signals generated by a signal source have richer and more complex nonlinear dynamic characteristics. The system circuit facilitates circuit implementation and experimental observation, and is a new key signal generation circuit for chaotic secure communication.

Description

technical field [0001] The invention relates to a memristor hyperchaotic system containing hidden attractors, in particular to a memristor-based hidden Lü system hyperchaotic signal source circuit. Background technique [0002] In 1971, a new two-terminal circuit element, memristor, was proposed, and the existence of the relationship between memristive charge and magnetic flux was predicted theoretically. In 2008, researchers from Hewlett-Packard in the United States realized the memristive element for the first time. In 2009, Seagate researchers again invented a spin memristive system based on electron magnetism. In recent years, due to its non-linearity and memory, memristive devices have broad application prospects in the research of artificial neural networks, secure communication, memory, and biological simulation. The emergence of memristor makes it possible to continue Moore's Law, and its memory characteristics, nanoscale size, fast switching and low power consumpt...

AI Technical Summary

Problems solved by technology

Although Hewlett-Packard and Seagate have successively invented the circuit realization method of the memristive element, the high cost and the difficulty of technical realization make the memristive element unable to reach the application level of commercial production.

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