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Holmes-Duffing chaos system and FPGA digital circuit

A chaotic system and digital circuit technology, applied in transmission systems, digital transmission systems, secure communication through chaotic signals, etc., can solve the problem of less Duffing chaotic circuits, and achieve strong scalability and flexibility, wide application, and low cost. Effect

Inactive Publication Date: 2016-08-03
马英杰
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  • Application Information

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Problems solved by technology

[0003] However, according to the existing literature reports, the research of Duffing chaotic system mainly focuses on theoretical research, and there are few studies on the realization of Duffing chaotic circuits, especially it is not easy to generate Duffing chaotic attractors from actual digital circuits

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  • Holmes-Duffing chaos system and FPGA digital circuit
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  • Holmes-Duffing chaos system and FPGA digital circuit

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Embodiment Construction

[0021] Below in conjunction with accompanying drawing and preferred embodiment the present invention is described in further detail, see Figure 1-Figure 3 .

[0022] 1. A Holmes-Duffing chaotic system and FPGA digital circuit is characterized in that, comprises the following steps:

[0023] (1) The dimensionless state equation of the Holmes-Duffing chaotic system is:

[0024]

[0025] Among them, x, y are the state variables of the system, the system parameter a=1, the system parameter b=1, the damping coefficient c=0.2, the amplitude d=38 of the external periodic excitation signal, the frequency ω=0.6 of the external periodic excitation signal, the system in a state of chaos.

[0026] (2) Discretize the continuous-time chaotic system of formula (1), and obtain the discretization equation of the Holmes-Duffing chaotic system as follows:

[0027]

[0028] Among them, AT is the discrete sampling time step.

[0029] (3) Adopt the DSPBuilder11.1 development platform to ...

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Abstract

The invention provides a Holmes-Duffing chaotic system and FPGA digital circuit, constructs the dimensionless state equation of the Holmes-Duffing chaotic system, and constructs the discretization equation of the chaotic system by discretizing the continuous-time chaotic system, and designs an external Periodic excitation signal module, designed a chaotic system module circuit based on DSP Builder, built a hardware platform including FPGA chaotic system and D / A module, the hardware experiment results are consistent with the theoretical analysis and simulation results, thus verifying the correctness of the system , effectiveness and feasibility. The calculations adopted by this digital circuit are all simple logic and algebraic operations, the structure is simple, it is easy to implement with hardware, the scalability and flexibility are strong, the cost is relatively low, and it can be widely used in the fields of hardware encryption and chaotic secure communication.

Description

technical field [0001] The invention relates to a chaotic generating system and FPGA digital circuit, in particular to a Holmes-Duffing chaotic system and FPGA digital circuit. Background technique [0002] Due to the extreme sensitivity of the dynamic behavior of chaotic dynamical systems to the initial parameters, the use of chaotic oscillators for weak signal detection and extraction has attracted more and more attention. In recent years, the use of Duffing oscillator parameter sensitivity to detect weak signals has become a research hotspot. Since Ueda and others first revealed that there is chaos in the stable Duffing equation, people have done a lot of research work on various forms of Duffing equation. [0003] However, according to the existing literature reports, the research of Duffing chaotic system mainly focuses on theoretical research, and there are few studies on the realization of Duffing chaotic circuits, especially it is not easy to generate Duffing chaoti...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/00
CPCH04L9/001
Inventor 马英杰
Owner 马英杰