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Four-dimensional fractional-order time-delay chaotic circuit with three-time magnetic control memristor

A memristor and fractional-order technology, applied in the design field of chaotic signal generators, can solve the problems of staying in the integer-order stage and few memristive chaotic systems, and achieves the effect of improving confidentiality and wide application prospects.

Active Publication Date: 2017-08-18
NANJING NORMAL UNIVERSITY
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Problems solved by technology

However, most of the current research on memristive chaotic systems stays at the stage of integer order, and there are still a few related studies on fractional order, and there are even fewer studies on fractional order time-delay memristive chaotic systems.

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  • Four-dimensional fractional-order time-delay chaotic circuit with three-time magnetic control memristor
  • Four-dimensional fractional-order time-delay chaotic circuit with three-time magnetic control memristor
  • Four-dimensional fractional-order time-delay chaotic circuit with three-time magnetic control memristor

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Embodiment Construction

[0031] The technical solutions and beneficial effects of the present invention will be described in detail below in conjunction with the accompanying drawings.

[0032] Such as figure 1 As shown, the present invention provides a four-dimensional fractional time-delay chaotic circuit containing a cubic magnetron memristor, including first to fifth channel circuits, which will be introduced separately below.

[0033] The first channel circuit includes a multiplier A1, an inverter U1A, an inverter U2A, a resistor R1, a resistor R2, a resistor R3, a resistor R4 and a resistor R5, wherein the two input terminals of the multiplier A1 are connected to the fifth channel circuit The output terminal of the multiplier A1 is connected to the inverting input terminal of the inverter U1A through the resistor R1, the negative pole of the power supply V1 is grounded, the positive pole of the power supply V1 is connected to one end of the resistor R2, and the other end of the resistor R2 is co...

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Abstract

The invention discloses a four-dimensional fractional-order time-delay chaotic circuit with a three-time magnetic control memristor. The four-dimensional fractional-order time-delay chaotic circuit comprises first to five channel circuits. According to the four-dimensional fractional-order time-delay chaotic circuit disclosed by the invention, on the basis of a deformed Lorenz system, a memristor unit is added, so that the non-linear characteristic of the system is enhanced; a time-delay unit is added; furthermore, fractional-order expansion of an integer-order system is carried out; therefore, the richness of the dynamic characteristic of the system is improved; different chaotic system circuits can be designed by combination of the order of a chaotic system and the structural type of a circuit unit; each circuit has the special dynamic behaviour; the output signal of the circuit has relatively high chaotic characteristic; this kind of fractional-order time-delay memristive chaotic system is applied to image encryption and secret communication; and thus, the complexity of a key and the anti-deciphering capability of the system are improved.

Description

technical field [0001] The invention belongs to the field of chaotic signal generator design, and relates to a four-dimensional fractional-order time-delay chaotic circuit containing a three-dimensional magnetic control memristor, in particular to a construction method and circuit realization of a fractional-order time-delay chaotic circuit containing a memristor . Background technique [0002] Chaos is a deterministic, random-like phenomenon that occurs in nonlinear systems. Chaotic signals have characteristics such as aperiodic and noise-like, which can provide a wealth of signal design and occurrence mechanisms. , so that it can generate an infinite-dimensional state space, so that the system has more abundant dynamic characteristics. Compared with the integer order, the fractional order can reflect various dynamic behaviors and characteristics of the chaotic system more accurately, and the chaotic characteristics of the system are stronger. The continuous construction ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/00
CPCH04L9/001H04L2209/12
Inventor 闵富红彭光娅王恩荣
Owner NANJING NORMAL UNIVERSITY
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