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GCCS judgment method of three-node VCSEL network under delay coupling

A judgment method and a three-node technology, applied in the field of VCSEL network, can solve problems such as complex judgment of GCCS, complex nonlinear dynamic behavior polarization conversion characteristics, etc., and achieve the effect of solving difficult judgment problems

Inactive Publication Date: 2018-11-13
WUYI UNIV
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Problems solved by technology

However, VCSELs also have more complex nonlinear dynamic behavior and unique polarization conversion characteristics
In addition to these situations, the diversity of three-node VCSEL network topology modules will also make the determination of GCCS more complicated. Therefore, the determination of GCCS in VCSEL networks is a key technical problem that needs to be solved urgently

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  • GCCS judgment method of three-node VCSEL network under delay coupling
  • GCCS judgment method of three-node VCSEL network under delay coupling
  • GCCS judgment method of three-node VCSEL network under delay coupling

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Embodiment Construction

[0047] The technical solution of the present invention will be further described in detail below in conjunction with the accompanying drawings, but the protection scope of the present invention is not limited to the following description.

[0048] like figure 1 Shown, a kind of GCCS judgment method of three-node VCSEL network under delay coupling, comprises the following steps:

[0049] Step 1. A delay-coupled VCSEL network composed of three identical nodes is given. The dynamic equation of the network is as follows:

[0050]

[0051] where X i (t)=[X i1 (t),X i2 (t),X i3 (t),X i4 (t),X i5 (t),X i6 (t)] T ∈R 6 Indicates the state variable of the i node; F:R 6 →R 6 Non-linear vector-valued function representing independent nodes; H:R 6 × R 6 →R 6 Represents the internal coupling function of node i and node j; τ is the coupling time delay, for all links, it is assumed that the time delay is the same; K=(K ij ) 3×3 ∈R 3 ×3 is the outcoupling matrix describing...

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Abstract

The invention discloses a GCCS judgment method of a three-node VCSEL network under delay coupling. The method comprises the following steps: giving out a delay-coupled VCSEL network composed of threesame nodes, and a dynamic equation of the network; giving the outer coupling matrix and unitary matrix assumption under the dynamic equation of the network; determining a rate equation expression of i-VCSEL in the three-node VCSEL network, determining a dynamic equation of the synchronization manifold, and determining a master stability equation; computing three maximum Lyapunov indexes; judging the stability of the synchronization state of the three-node VCSEL network and whether the synchronization manifold of the network is chaotic waveform. For various three-node vertical cavity surface emitting laser (VCSEL) networks with same time delay coupling, a new judgment method capable of achieving globally complete chaos synchronization (GCCS) among all node lasers is proposed through the master stability function (MSF), and a judgment problem of the GCCS in the VCSEL network is solved.

Description

technical field [0001] The invention relates to a VCSEL network, in particular to a GCCS determination method for a three-node VCSEL network under delay coupling. Background technique [0002] Chaotic secure communication based on semiconductor lasers has obvious advantages, such as large bandwidth, high speed, low loss and high security. In the future, it will have potential applications in all-optical chaotic communication with extremely large bandwidth and high speed. In the past 24 years, great achievements have been made in the development of chaotic secure communication systems based on semiconductor lasers. For topology, its development process is as follows: point-to-point, point-to-multipoint, multipoint-to-multipoint, complex network. Many studies have explored different topologies for secure communication of semiconductor lasers and their chaotic synchronization schemes. These researches on topology mainly focus on the delay connections between two nodes, three...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/00H04B10/079H04B10/272H04B10/275
CPCH04B10/0795H04B10/272H04B10/275H04L9/001H01S5/4006H01S5/423H01S5/0656H01S5/005H01S5/0071H01S5/0064H01S5/18355H04L27/001
Inventor 钟东洲肖珍珍杨广泽
Owner WUYI UNIV
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