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EAE Editorial Academia Espanola Sistemas diferenciales monótonos y convexos: Un estudio de las dinámicas casi periódica y casi automórfica

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Description

Desde los trabajos de M. Hirsch que dan inicio a la teoría general de sistemas dinámicos monótonos en los años ochenta, se ha generalizado la aplicación de métodos dinámicos al estudio de sistemas diferenciales monótonos. Aplicando este tipo de técnicas para sistemas dinámicos no autónomos monótonos, junto con herramientas de dinámica topológica, cálculo diferencial y teoría ergódica, realizamos un estudio cualitativo de las soluciones de los sistemas de ecuaciones diferenciales, ordinarias o con retardo, no autónomos monótonos y convexos objeto de estudio. Prestamos especial atención al efecto que produce la casi periodicidad de los coeficientes en la dinámica de las soluciones, estudiando la posible presencia de dinámicas casi periódica y casi automórfica. Además, aportamos teoremas de atracción para sistemas dinámicos no autónomos monótonos y convexos en los que existe una región invariante acotada, limitada por dos conjuntos minimales ordenados. Aparte del interés puramente teórico de esta situación, destacamos su aplicación práctica a numerosos problemas de biología matemática, ingeniería y otras ciencias, a la que se dedica la parte final del libro.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
08 December 2011
Listed Since
14 December 2011

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