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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)
Aquatic ecosystems are natural complex systems. They are the site of a great number of phenomena. Thus, many studies model each of these phenomena, using law-based approach (most of the time differential equations) or rule-based approach (individual-based models in particular). Owing to their complex nature, aquatic ecosystems are hard to study and resist a(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)
The aim of this paper is to contribute to the modeling and analysis of complex systems, taking into account the nature of complexity at different stages of the system life-cycle: from its genesis to its evolution. Therefore, some structural aspects of the complexity dynamics are highlighted, leading (i) to implement the morphogenesis of emergent complex(More)
In this paper, we deal with some specific domains of applications to game theory. This is one of the major class of models in the new approaches of modelling in the economic domain. For that, we use genetic automata which allow to buid adaptive strategies for the players. We explain how the automata-based formalism proposed-matrix representation of automata(More)
We present in this work an agent−based simulation for hydrodynamic flow in heterogeneous environment. Vortex methods are our distributed formulations allowing a decentralizated computation for the entities interactions. Some processes for the detection of emergent organisations are described. The aim of this work is to be able to manage such computed(More)
In distributed simulations, many entities (mobile agents, distributed objects, processes) communicate and may evolve continuously. Volumes of communications, groups of communicating entities, as well as computational needs may vary a lot during the execution. Due to these dynamic characteristics , the need of a migration for one or several entities is(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 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)