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The differential transform method (DTM) is an analytical and numerical method for solving a wide variety of differential equations and usually gets the solution in a series form. In this paper, we propose a reliable new algorithm of DTM, namely multi-step DTM, which will increase the interval of convergence for the series solution. The multi-step DTM is(More)
The chaotic dynamics of fractional-order systems has attracted much attention recently. Chaotic synchronization of fractional-order systems is further studied in this paper. We investigate the chaos synchronization of two identical systems via a suitable linear controller applied to the response system. Based on the stability results of linear(More)
— We present in this paper a generic methodology based on genetic automata for modelling community detection. With Communities, we deal with dynamic organizations which are self-organized from two aspects, the spatial one and the functional one. We propose in this paper a general methodology which extends cellular based modelling-like Schelling models-to(More)
A distributed application may be considered as a set of interacting entities continuously evolving. Such application can be modeled as a graph with one-to-one mappings between vertices and entities and between edges and communications. Performances depend directly on a good load balancing of the entities between available computing devices and on the(More)
—We are interested in the problem of mul-tiagent systems development for risk detecting and emergency response in an uncertain and partially perceived environment. The evaluation of the current situation passes by three stages inside the multiagent system. In a first time, the situation is represented in a dynamic way. The second step, consists to(More)
Evolutionary game theory is one of the key paradigms behind many scientific disciplines from science to engineering. In complex networks, because of the difficulty of formulating the replicator dynamics, most of the previous studies are confined to a numerical level. In this paper, we introduce a vectorial formulation to derive three classes of individuals'(More)
The TiM project focuses on creating games for visually impaired or blind children. In this context, the TiM platform is designed to help the creation of such games. For the modeling of games, we used active objects. This article deals with the benefits and specificities of this approach. Most game creators will not be computer programmers , and to(More)
Organization is a central concept in systems. In this paper an ant algorithm for detecting organizations is presented. In a discrete-time context, at each time-step, an organization corresponds to a set of closely interacting entities in a system. This system is mapped to a graph where nodes represent entities and edges represent interrelations. Several(More)
We described here our perception of complex systems, of how we feel the different layers of description are an important part of a correct complex system simulation. We described a rough models categorization between rules based and law based, of how these categories handled the levels of descriptions or scales. We then described our fluid flow simulation,(More)
Evolutionary game theory is one of the key paradigms behind many scientific disciplines from science to engineering. Previous studies proposed a strategy updating mechanism, which successfully demonstrated that the scale-free network can provide a framework for the emergence of cooperation. Instead, individuals in random graphs and small-world networks do(More)