Yingfei Yi – författare

​This collection covers a wide range of topics of infinitedimensional dynamical systems generated by parabolic partial differentialequations, hyperbolic partial differential equations, solitary equations,lattice differential equations, delay differential equations, and stochasticdifferential equations.Infinite dimensional dynamical systems are generated byevolutionary equations describing the evolutions in time of systems whosestatus must be depicted in infinite dimensional phase spaces. Studying thelong-term behaviors of such systems is important in our understanding of theirspatiotemporal pattern formation and global continuation, and has been amongmajor sources of motivation and applications of new developments of nonlinearanalysis and other mathematical theories. Theories of the infinite dimensionaldynamical systems have also found more and more important applications inphysical, chemical, and life sciences.This book collects 19 papers from 48 invited lecturers tothe International Conference on Infinite Dimensional Dynamical Systems held atYork University, Toronto, in September of 2008. As the conference was dedicatedto Professor George Sell from University of Minnesota on the occasion of his70th birthday, this collection reflects the pioneering work and influence ofProfessor Sell in a few core areas of dynamical systems, includingnon-autonomous dynamical systems, skew-product flows, invariant manifoldstheory,  infinite dimensional dynamicalsystems, approximation dynamics, and fluid flows.​

​This collection covers a wide range of topics of infinitedimensional dynamical systems generated by parabolic partial differentialequations, hyperbolic partial differential equations, solitary equations,lattice differential equations, delay differential equations, and stochasticdifferential equations.Infinite dimensional dynamical systems are generated byevolutionary equations describing the evolutions in time of systems whosestatus must be depicted in infinite dimensional phase spaces. Studying thelong-term behaviors of such systems is important in our understanding of theirspatiotemporal pattern formation and global continuation, and has been amongmajor sources of motivation and applications of new developments of nonlinearanalysis and other mathematical theories. Theories of the infinite dimensionaldynamical systems have also found more and more important applications inphysical, chemical, and life sciences.This book collects 19 papers from 48 invited lecturers tothe International Conference on Infinite Dimensional Dynamical Systems held atYork University, Toronto, in September of 2008. As the conference was dedicatedto Professor George Sell from University of Minnesota on the occasion of his70th birthday, this collection reflects the pioneering work and influence ofProfessor Sell in a few core areas of dynamical systems, includingnon-autonomous dynamical systems, skew-product flows, invariant manifoldstheory,  infinite dimensional dynamicalsystems, approximation dynamics, and fluid flows.​

​This collection covers a wide range of topics of infinitedimensional dynamical systems generated by parabolic partial differentialequations, hyperbolic partial differential equations, solitary equations,lattice differential equations, delay differential equations, and stochasticdifferential equations.Infinite dimensional dynamical systems are generated byevolutionary equations describing the evolutions in time of systems whosestatus must be depicted in infinite dimensional phase spaces. Studying thelong-term behaviors of such systems is important in our understanding of theirspatiotemporal pattern formation and global continuation, and has been amongmajor sources of motivation and applications of new developments of nonlinearanalysis and other mathematical theories. Theories of the infinite dimensionaldynamical systems have also found more and more important applications inphysical, chemical, and life sciences.This book collects 19 papers from 48 invited lecturers tothe International Conference on Infinite Dimensional Dynamical Systems held atYork University, Toronto, in September of 2008. As the conference was dedicatedto Professor George Sell from University of Minnesota on the occasion of his70th birthday, this collection reflects the pioneering work and influence ofProfessor Sell in a few core areas of dynamical systems, includingnon-autonomous dynamical systems, skew-product flows, invariant manifoldstheory,  infinite dimensional dynamicalsystems, approximation dynamics, and fluid flows.​

The book presents nine mini-courses from a summer school, Dynamics of Biological Systems, held at the University of Alberta in 2016, as part of the prestigious seminar series: Séminaire de Mathématiques Supérieures (SMS). It includes new and significant contributions in the field of Dynamical Systems and their applications in Biology, Ecology, and Medicine.The chapters of this book cover a wide range of mathematical methods and biological applications. They -       explain the process of mathematical modelling of biological systems with many examples,-       introduce advanced methods from dynamical systems theory,-       present many examples of the use of mathematical modelling to gain biological insight-       discuss innovative methods for the analysis of biological processes,-       contain extensive lists of references, which allow interested readers to continue the research on their own. Integrating the theory of dynamical systems with biological modelling, the book will appeal to researchers and graduate students in Applied Mathematics and Life Sciences.

The book presents nine mini-courses from a summer school, Dynamics of Biological Systems, held at the University of Alberta in 2016, as part of the prestigious seminar series: Séminaire de Mathématiques Supérieures (SMS). It includes new and significant contributions in the field of Dynamical Systems and their applications in Biology, Ecology, and Medicine.

The chapters of this book cover a wide range of mathematical methods and biological applications. They -       explain the process of mathematical modelling of biological systems with many examples, -       introduce advanced methods from dynamical systems theory, -       present many examples of the use of mathematical modelling to gain biological insight-       discuss innovative methods for the analysis of biological processes,-       contain extensive lists of references, which allow interested readers to continue the research on their own.

Integrating the theory of dynamical systems with biological modelling, the book will appeal to researchers and graduate students in Applied Mathematics and Life Sciences.