应六合彩网上投注app
的邀请，美国佛及尼亚州立大学Bourama Toni教授将于近期访问我院，期间将为师生做以下学术报告：
时间：2015.12.4日上午8:30
地点：中2-2232
题目：Quasi and p-Adic Limit Cycles and Applications
摘要：
We develop the concept of Quasi and p-Adic Limit Cycles (isolated periodicity) at the interface between the theories of limit cycles and quasi periodicity to include almost and pseudo-almost periodicity, almost automorphy, and p-adic almost periodicity, in both the usual Archimedean metric spaces and the p-adic (ultrametric) spaces.
We investigate the conditions of existence and uniqueness, stability and bifurcation, as well as the notion of quasi-isochrons. Illustrative examples include perturbations of the Poincaré oscillator, p-adic and adelic harmonic oscillator, and the Liénard systems under various external forcing, with applications to quasi-periodic solitary waves uncovered by transforming some hyperbolic and reaction-diffusion PDE into forced Liénard systems. Of particular interest is the transition to chaotic behavior, possibly through coupling/synchronization of quasi oscillators (e.g., forced Master-Slave systems).
Ultrametric (p-adic) spaces being totally disconnected to allow any reasonable analyticity, the concept of p-adic almost periodicity is being extended to Berkovich analytic spaces, locally compact and path-connected.
Further applications are in evolutionary Game Theory and in P-Adic NumericalAnalysis, leading respectively to the concept of Nash Limit Cycles and the development and Matlab/SAGE based implementation of a fully p-adic parallel linear solver for very large engineering systems.
报告人简介：
B. Toni 在加拿大蒙特利尔大学获博士学位，现为美国佛及尼亚州立大学数学与经济系教授，在动力系统、数值计算、生物数学等方面发表了一系列文章，并主编了Springer出版的系列丛书。
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