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Hash function construction using weighted complex dynamical networks

Chinese Physics B 2013年第4期22卷 172-177页

作者：宋玉蓉蒋国平 College of Automation Nanjing University of Posts and Telecommunications

A novel scheme to construct a hash function based on a weighted complex dynamical network （WCDN） generated from an original message is proposed in this paper. First, the original message is divided into blocks. Then, each block is divided into components, and the nodes and weighted edges are well defined from these components and their relations. Namely, the WCDN closely related to the original message is established. Furthermore, the node dynamics of the WCDN are chosen as a chaotic map. After chaotic iterations, quantization and exclusive-or operations, the fixed-length hash value is obtained. This scheme has the property that any tiny change in message can be diffused rapidly through the WCDN, leading to very different hash values. Analysis and simulation show that the scheme possesses good statistical properties, excellent confusion and diffusion, strong collision resistance and high efficiency.

关键词： hash function weighted complex dynamical networks chaotic map cryptography

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Synchronization of weighted general complex dynamical networks with coupling delays

Synchronization of weighted general complex dynamical networ...

引用

2010 Chinese Control and Decision Conference

作者： Hongjie Li College of Mathematics and Information Engineering,Jiaxing University,Jiaxing Zhejiang 314001

＜正＞A weighted general complex dynamical networks with coupling delay is proposed,which is undirected and *** some transformation,the synchronization of the complex networks is transferred equally into the asymptotical stability problem of a group of uncorrelated delay functional differential *** of such networks is investigated by applying local feedback injections to a fraction of network nodes for continuous ***, the less conservative sufficient conditions for delay-dependent asymptotical synchronization stability criteria are derived in the form of linear matrix inequalities based on the reformulation of the system and the technique of a discretization scheme of the *** is also shown that the whole networks can be stabilized by controlling only one *** examples are given to illustrate the effectiveness of the proposed approach.

关键词： Pinning control weighted complex dynamical networks Synchronization Coupling delay Linear matrix inequality(LMI)

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