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SEMINARS
Evolution of exterior products in dynamics I: Finite Dimensional Systems
时间  Datetime
 
地点  Venue
报告人  Speaker
Prof. James Muldowney
单位  Affiliation
University of Alberta,Canada
邀请人  Host
常微分方程和动力系统课题组
报告摘要  Abstract
The evolution in dynamical systems of differential k-forms has proved to be a versatile tool. It facilitates the investigation of local and global properties as well as steady state behaviour; topics such as existence and stability of periodic orbits and questions of dimension of invariant sets especially global attractors. The main tools in finite dimensional dynamics have been multiplicative and additive k-compound matrices whose algebraic, metric and spectral properties have provided useful insights. These allow us to elicit much new information from linearized systems through associated compound differential equations. The first lecture will discuss the finite dimensional theory and applications including a higher dimensional generalization of the Bendixson-Dulac condition for the non-existence of periodic orbits.