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Titlebook: Emergent Properties in Natural and Artificial Dynamical Systems; M.A. Aziz-Alaoui,C. Bertelle Book 2006 Springer-Verlag Berlin Heidelberg

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Competing Ants for Organization Detection Application to Dynamic Distributionowever, both objectives are contradictory and good performances may be achieved if and only if a good trade off is found. Our method for finding such a trade off leans on a bio-inspired method. We use competitive colonies of numerical ants, each one depositing colored pheromones, to find organizations of highly communicating entities.
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Slow Manifold of a Neuronal Bursting Modelslow manifold equation. Application is made for the three-variables model of neuronal bursting elaborated by Hindmarsh and Rose which is one of the most used mathematical representation of the widespread phenomenon of oscillatory burst discharges that occur in real neuronal cells.
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Changing Levels of Description in a Fluid Flow Simulation or scales. We then describe our fluid flow simulation, which combines different fineness of grain in a mixed approach of these categories. This simulation is built keeping in mind an ulterior use inside a more general aquatic ecosystem.
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Automata-Based Adaptive Behavior for Economic Modelling Using Game Theory-based formalism proposed – matrix representation of automata with multiplicities – allows to define a semi-distance between the strategy behaviors. With that tools, we are able to generate an automatic processus to compute emergent systems of entities whose behaviors are represented by these genetic automata.
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Computer Algebra and , , Spline Functions: A Combined Tools toSolve Nonlinear Differential Problemsplied nonlinear differential problems. The computation of functions involved in nonlinear dynamical problem uses the algebraic methods known as Gröbner Bases, which are more robust, more accurate and often more efficient than the purely numerical methods. An example on solving nonlinear differential equations using these methods is presented.
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