Applied Nonautonomous and Random Dynamical Systems ― Applied Dynamical Systems

系列名：Springerbriefs in Mathematics
ISBN13：9783319492469
出版社：Springer Verlag
作者：Tom憳? Han Caraballo Xiaoying
出版日：2017/01/06
裝訂：平裝
規格：23.5cm*15.9cm*1.3cm (高/寬/厚)
關鍵字： Applied Nonautonomous and Random Dynamical Systems ― Applied Dynamical Systems、 Applied、 Nonautonomous、 and、 Random、 Dynamical、 Systems、 Springer Verlag、 Tom憳? Han Caraballo Xiaoying、外文書、 Analysis、

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Analysis

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The aim of this work is to provide an introduction to the theory of non-autonomous and stochastic dynamical systems, with a focus on the importance of the theory in the Applied Sciences.

The book will start with the basic concepts from the theory of autonomous dynamical systems which are easier to understand, and can be used as the motivation for the non-autonomous and stochastic situations. Then the work will set up the framework of non-autonomous dynamical system, and in particular will describe the various approaches available to date to analyze the long time behaviour of non-autonomous problems. Major focus with be put on the novel theory of pullback attractors, which is still under development up to date. The third part will be the main body of the book, introducing the theory of random dynamical systems and random attractors and will show how it may be a suitable set-up to handle realistic models with stochasticity. Some comments on future research directions will be included as well.

作者簡介

Tomas Caraballo graduated with a degree in Mathematical Sciences in 1984, and received his Ph.D. in the same subject at the Universidad de Sevilla (Spain) in 1988. He is currently a Catedratico de Universidad (Full Professor) at the Departamento de Ecuaciones Diferenciales y Analisis Numerico, Universidad de Sevilla. He has participated in or been Principal Investigator for more than 20 research projects. He has authored or co-authored more than 180 papers, has supervised 10 doctoral theses, and has been associate or guest editor of numerous scientific journals. His current research interests are non-autonomous and random dynamical systems, both in finite and infinite dimensions, stochastic ordinary and partial differential equations with memory, delay, impulses and their applications to real models from the applied sciences.

Xiaoying Han received her Ph.D. in mathematics from the State University of New York at Buffalo in 2007. She is an associate professor of mathematics at Auburn University’s Department of Mathematics and Statistics, Alabama, USA. Her main research focuses are nonautonomous and random dynamical systems and their applications, and she is also interested in modeling, analysis and simulation of stochastic systems arising in applied sciences and engineering.

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