A Fractional Order Nonlinear Chaotic System Circuit

Abstract

The invention discloses a fractional order non-linear chaotic system circuit having an absolute value item. The fractional order non-linear chaotic system circuit comprises a first channel circuit, a second channel circuit and a third channel circuit, wherein the first channel circuit has two input ends and one output end, the second channel circuit has three input ends and two output ends, the third channel circuit has one input end and one output end, the input ends and the output ends of the three channel circuits are mutually connected to form the fractional order non-linear chaotic system circuit, the output end x of the first channel circuit is taken as an input end x of the second channel circuit, the output end y of the second channel circuit is taken as an input end y of the first channel circuit and an input end y of the third channel circuit, the output end y' of the second channel circuit is taken as an input end y' of the second channel circuit, and the output end z' of the third channel circuit is taken as an input end z' of the first channel circuit and an input end z' of the second channel circuit. The fractional order non-linear chaotic system circuit is advantaged in that a non-continuous chaotic system is convenient to construct, a chaotic state is stable, the circuit is easy for realization, and the fractional order non-linear chaotic system circuit has relatively good application prospects in the engineering field.

Description

technical field [0001] The invention belongs to the field of information encryption, in particular to a fractional nonlinear chaotic system circuit. Background technique [0002] Nonlinear science has been called the "third revolution" in the scientific world. Nonlinear science is closely related to all areas of people's lives, and has gradually changed people's world outlook. It makes people's thinking more active, and their consideration of problems is more comprehensive and rational. Scholars generally believe that nonlinearity is mainly composed of three parts, which are chaos, fractals and solitons. Therefore, chaos theory plays an important role in nonlinear disciplines. The study of chaotic systems has great potential value for the progress of science and technology. [0003] Chaos is a deterministic behavior exhibited by a definite nonlinear dynamical system, and it is a manifestation of irregular motion in a regular system. In 1963, Professor Lorenz discovered th...

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Problems solved by technology

However, there are still some differences between the numerical simulation and the actual circuit structure, especially due to the limitation of the physical characteristics of the actual components, the theoretically derived chaotic circuit may not be successfully reproduced in the actual circuit.

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