Four-dimensional fractional chaotic system circuit with memristor

Abstract

The invention discloses a four-dimensional fractional order chaotic system circuit with a memristor. The circuit comprises four channel circuits. The first channel circuit is composed of a multiplying unit A1, a phase inverter U1, a phase-reversing integrator U2 with fractional order number of 0.01 to 0.10, and a resistor. The second channel circuit is composed of a multiplying unit A2, a multiplying unit A3, a phase inverter U3, a phase-reversing integrator U4 with fractional order number of 0.01 to 0.10, and a resistor. The third channel circuit is composed of a multiplying unit A4, a phase-reversing integrator U5 with fractional order number of 0.01 to 0.10, a phase inverter U6 and a resistor. The fourth channel circuit is composed of a phase-reversing integrator U7 with fractional order number of 0.01 to 0.10, a phase inverter U8, a voltage-current converter U9, a reverse differentiator U10 and a resistor. The memristor is composed of a voltage-current converter U9 and a reverse differentiator U10. By adding the memristor on the basis of a traditional chaotic system circuit and expanding the system circuit to the field of fractional orders, actual research value is achieved better.

Description

technical field [0001] The invention relates to a four-dimensional fractional order chaotic system circuit containing a memristor, belongs to the technical field of chaotic signal generator design, and specifically relates to a construction method and circuit realization of a novel four-dimensional fractional order memristor chaotic system. Background technique [0002] Memristor is a kind of resistor with memory function. With its unique electrical properties and memory function, it plays an important role in artificial intelligence, new memory and field programmable gate array, artificial neural network and new brain-like system, chaotic circuit design, etc. With more and more important roles, it has brought surprises to people time and time again. The memristive chaotic signal has stronger aperiodic and noise-like characteristics, and also has more complex dynamic characteristics. However, the research on memristive chaotic systems mostly stays at the integer order, and ...

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Problems solved by technology

However, the research on the memristive chaotic system mostly stays at the integer order, and the research related to the fractional order is still rare.

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