Generalized synchronizing method of isomer time-delay chaotic systems

A chaotic system and chaotic synchronization technology, which is applied in transmission systems, synchronization devices, digital transmission systems, etc., can solve the problems of complex dynamic characteristics and few reports of time-delay systems, and achieve the effect of easy implementation and wide application prospects

Inactive Publication Date: 2013-07-10
王少夫
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Problems solved by technology

[0002] Chaos synchronization is one of the research hotspots in the field of nonlinear science. Since Pecora and Carroll proposed chaos synchronization in 1990 and realized the self-synchronization of coupled chaotic systems in circuit experiments, a large number of methods of chaos synchronization have emerged. The dynamics of non-delayed systems are more complicated. Since Mackey discovered chaos in time-delayed systems, there have been few reports on the synchronization of time-delayed systems.

Method used

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  • Generalized synchronizing method of isomer time-delay chaotic systems
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  • Generalized synchronizing method of isomer time-delay chaotic systems

Examples

Experimental program
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Embodiment

[0019] Embodiment: two-dimensional time-delay system, its kinetic equation is:

[0020]

[0021] (1)

[0022] when , When , the system is in a chaotic state, and its time domain sequence and chaotic attractor are as follows: figure 1 , figure 2 shown.

[0023] Assuming that system (1) is a driving system, its response system equation is:

[0024]

[0025] (2)

[0026] in is the input controller. when And the parameter , When , the system (2) exhibits chaotic characteristics, and its time domain sequence and chaotic attractor are as follows image 3 , Figure 4 shown.

[0027] Theorem 1. If the input controller

[0028]

[0029] (3)

[0030] Then the drive system (3) and the response system (4) are asymptotically synchronized.

...

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Abstract

The invention relates to a generalized synchronizing method of isomer time-delay chaotic systems. The generalized synchronizing method of the isomer time-delay chaotic systems is based on a functional differential equation stability theory and a generalized chaotic synchronizing method is used, so that generalized synchronization of the two isomeric two-dimension time-delay chaotic systems is achieved. The generalized synchronizing method of the isomer time-delay chaotic systems is easy to achieve and has wide application prospect and important practical value in the fields of radars, secret communication, electronic countermeasures and the like.

Description

technical field [0001] The invention relates to a generalized synchronization method for time-delay chaotic systems of isomers, which belongs to the field of electronic communication and nonlinear control. Background technique [0002] Chaos synchronization is one of the research hotspots in the field of nonlinear science. Since Pecora and Carroll proposed chaos synchronization in 1990 and realized self-synchronization of coupled chaotic systems in circuit experiments, a large number of methods of chaos synchronization have emerged. The dynamics of non-delayed systems are more complex. Since Mackey discovered chaos in time-delayed systems, there have been few reports on the synchronization of time-delayed systems. [0003] Based on the stability theory of functional differential equations, the invention realizes the generalized chaos synchronization of two heterogeneous two-dimensional time-delay systems by using the generalized chaos synchronization method. The method is ea...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L7/00
Inventor 不公告发明人
Owner 王少夫
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