By Jean-Pierre AUBIN,Alexandre M. Bayen,Patrick Saint-Pierre

Viability idea designs and develops mathematical and algorithmic equipment for investigating the variation to viability constraints of evolutions ruled via advanced structures less than uncertainty which are present in many domain names concerning dwelling beings, from organic evolution to economics, from environmental sciences to monetary markets, from regulate idea and robotics to cognitive sciences. It consists of interdisciplinary investigations spanning fields that experience regularly constructed in isolation. the aim of this publication is to give an initiation to functions of viability idea, explaining and motivating the most innovations and  illustrating them with a number of numerical examples taken from a number of fields.

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