Two-dimensional complex number chaotic system

A technology of chaotic systems and complex numbers, applied in the field of two-dimensional complex chaotic systems, can solve problems such as few reports on the research of complex chaotic systems, and achieve the effect of wide application value

Inactive Publication Date: 2013-07-10
王少夫
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0003] In recent years, various methods of constructing chaos and chaotic systems have attracted people's attention, but there are few reports on the research of complex chaotic systems

Method used

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  • Two-dimensional complex number chaotic system
  • Two-dimensional complex number chaotic system
  • Two-dimensional complex number chaotic system

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Experimental program
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Embodiment Construction

[0019] By constructing a two-dimensional complex chaotic system with three parameters, its mathematical model is described as

[0020] (1)

[0021] in is plural, is a real number, "*" means a conjugate complex number, is a state variable. when parameter , , When , the real and imaginary parts of the complex system variables can generate two-winged chaotic attractors such as figure 1 , figure 2 shown.

[0022] let parameters exist Change within the range, other parameters are fixed, image 3 , Figure 4 are system dependent parameters Spectral bifurcation diagram of the changing Lyapunov exponent.

[0023] Through the detailed analysis of the above bifurcation diagram and Lyapunov exponent spectrum, it can be seen that the system parameters are very sensitive, and the influence of different parameters is also different. As the parameters change, the system experiences different processes, including quasi-periodic, periodic and chaos. Therefore, the ...

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Abstract

The invention relates to a two-dimensional complex number chaotic system. A two-dimensional chaotic system of a complex number field is provided by introducing of three diameters, the chaotic system of the complex number field has complex dynamic behavior, and the parameters are adjusted by analyzing a Lyapuvov index and a bifurcation diagram of the chaotic system to enable the chaotic system to produce both-wing chaotic attractors. The simple two-dimensional complex number chaotic system has wide application prospect and important application value in the fields such as radar, quantum secret communication and electronic countermeasures.

Description

technical field [0001] The invention relates to a two-dimensional complex chaotic system with three parameters, which belongs to the field of quantum and electronic communication. Background technique [0002] Since the 1980s, people began to realize the importance of complex chaos. Through a series of studies on complex number chaos, people have some understanding of some characteristics of complex number chaos. However, some fundamental questions about complex chaos remain unsolved. Some research works in recent years have found that there is chaos in the dynamics of complex entanglement. Researchers have used many methods to study complex entanglement, including linear entropy, decoherence, etc., and the dynamical evolution of complex chaos, complex entanglement, and complex spin compression. There are inherent essential connections in properties such as energy spectrum statistics and steady-state wave function morphology. [0003] In recent years, various methods of ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/00H04L27/00
Inventor 不公告发明人
Owner 王少夫
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