Search

Highlights • In this paper, a new small-world algorithm is proposed. • The small-world property is introduced by applying a smart pattern. • The distance existing between distant nodes is successfully reduced. • The loss of connectivity caused by the introduction of randomness in the topology is mitigated. • The resulting complex network exhibits the small-world property, i.e., short distances between nodes and relative high connectivity. Abstract This article proposes a new method to introduce the small–world property into regular networks. A smart connection pattern, achieved by rewiring and adding connections, is suggested in order to reduce the loss of connectivity produced by the introduction of randomness in the topology. The resulting complex network exhibits the small–world property, i.e., small average distance node to node and high connectivity. This model could be used as an alternative to improve the robustness of some networks created artificially. [ABSTRACT FROM AUTHOR]

Using a multi-scroll oscillator with an adjustable number of scrolls as chaos generator, this paper shows how an adequate control of the chaotic masking signal provides the basis for an improved security in private communication. We base the selection of the masking signal on two criteria related, respectively, to the energy and the spectral location of the signals in the complex synchronization network. The result is a successful encryption, transmission and retrieval of a confidential message in a two-channel communication system with multi-user modality. [ABSTRACT FROM AUTHOR]

In this paper, synchronization of a Scale-Free (SF) network of chaotic oscillators is addressed. Synchronizability is increased, while eliminating edges in a SF network. We propose two novel methods using perturbation theory as an edge selection criteria, to eliminate the least amount of edges. Also we modified one existing method from the literature. These methods yielded the best results at increasing synchronizability the most per edge eliminated, while avoiding node isolation. These three strategies were tested in SF networks with different average degrees, and compared with other five strategies found in literature. Some five criterions on the selection of the method are given. This paper is especially interested in Case 3 of the Master Stability Function, which allows synchronizability to be defined. Therefore we use chaotic Rössler oscillators as nodes in the SF networks. [ABSTRACT FROM AUTHOR]