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Chaotic circuit with constant Liapunov exponent spectrum

A chaotic circuit and exponential spectrum technology, applied in electrical components, digital transmission systems, transmission systems, etc., to achieve the effects of high accuracy, simple structure and low cost

Active Publication Date: 2018-01-23
HUNAN UNIV OF SCI & TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

However, the current chaotic signal generation circuit cannot realize the conversion of various theoretical parameter values ​​in the state equation into actual circuit parameter values ​​through transformation.

Method used

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  • Chaotic circuit with constant Liapunov exponent spectrum
  • Chaotic circuit with constant Liapunov exponent spectrum
  • Chaotic circuit with constant Liapunov exponent spectrum

Examples

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Embodiment Construction

[0027] The present invention will be further described below in conjunction with the accompanying drawings and embodiments.

[0028] Such as figure 1 As shown, a chaotic circuit with a constant Lyapunov exponent spectrum, including a signal source module 1, a linear module, a piecewise linear function module 2 and a negative resistance module 3, the output of the signal source module 1 and the linear module, the negative resistance The modules 3 are connected, the output terminal of the piecewise linear function module 2 is connected with the linear module, and the negative resistance module 3 is connected with the linear module.

[0029] Such as figure 2 As shown, the piecewise linear function module 2 includes first to fifth operational amplifiers and first to thirteenth resistors, the inverting input terminal of the first operational amplifier U1 is grounded after passing through the first resistor R1, and the second resistor R2 Connected between the inverting input term...

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Abstract

The invention discloses a chaotic circuit with constant Liapunov exponent spectrum. The chaotic circuit comprises a signal source module, a linear module, a piecewise linear function module and a negative resistor module. The signal source module is connected with the linear module and the negative resistor module. The piecewise linear function module is connected with the linear module. The negative resistor module is connected with the linear module. The chaotic circuit comprises the linear module, the piecewise linear function module and the negative resistor module. A nonlinear component is added to the linear module, various theoretical parameter values in a state equation are converted into practically demanded circuit parameter values, the obtained circuit parameters are high in accuracy, and it is proved that the method of generating chaotic attractors through utilization of a circuit experiment is feasible. According to the chaotic circuit, various theoretical researches are carried out on the state equation of the chaotic circuit, a Liapunov exponent, a bifurcation diagram, a chaotic phase diagram and the like are obtained, and it is proved that the new chaotic circuit with the constant Liapunov exponent spectrum can be generated.

Description

technical field [0001] The invention relates to a chaotic circuit, in particular to a chaotic circuit with a constant Lyapunov exponent spectrum. Background technique [0002] In 1963, E.N. Lorenz, the father of chaos, discovered the first chaotic system, which was a simplified model of atmospheric convection and became the starting point and cornerstone of future research on chaos theory. Afterwards, S. Smale proposed 18 famous mathematical problems in the 21st century, and the 14th problem is about the study of the Lorenz system. It can be seen that the scientific significance and research value of the Lorenz system are very important. With the development of chaos theory research, the application of chaos is also expanding rapidly in various fields. At present, the application research of chaos science has developed to how to effectively use chaos, and the application research of chaos in dynamical systems in communication technology and signal processing is more It is i...

Claims

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Application Information

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IPC IPC(8): H04L9/00
Inventor 崔力欧青立彭伟濮振华
Owner HUNAN UNIV OF SCI & TECH
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