Mathematics: Novel techniques in bifurcation theory

using game theory techniques in self-organizing maps training

شبکه خود سازمانده پرکاربردترین شبکه عصبی برای انجام خوشه بندی و کوانتیزه نمودن برداری است. از زمان معرفی این شبکه تاکنون، از این روش در مسائل مختلف در حوزه های گوناگون استفاده و توسعه ها و بهبودهای متعددی برای آن ارائه شده است. شبکه خودسازمانده از تعدادی سلول برای تخمین تابع توزیع الگوهای ورودی در فضای چندبعدی استفاده می کند. احتمال وجود سلول مرده مشکلی اساسی در الگوریتم شبکه خودسازمانده به حسا...

Interval Mathematics Techniques for Control Theory Computations

Introduction to bifurcation theory

The theory of bifuxcation from equilibria based on center-manifold reduction and Poincare-Birkhoff normal forms is reviewed at an introductory level. Both differential equations and maps are discussed, and recent results explaining the symmetry of the normal form are derived. The emphasis is on the simplest generic bifurcations in one-parameter systems. Two applications are developed in detail:...

Automated Theory Formation in Mathematics

A program cal led " A M " is descr ibed which cai r ies on simple mathemat ics research : defining, and studying new concepts under the guidance of a large body of heuiist ic rules. The 250 h e u r K t u s communicate via an agenda mechanism, a g loba l p r i o r i t y queue of small bisk', for the program to pei f o i m and teasons why each task is plausible (e.g., "Find PENCRAHZTION. of ' p r...

Mathematics for Economic Theory

(1) Instructor: Julio Dávila, 436 McNeil, (215) 898-7788, Office hours: Monday from 16:00 to 18:00, e-mail: [email protected]. (2) Teaching Assistant: Braz Camargo, 420 McNeil, Office hours: Wednesday from 16:00 to 18:00, e-mail: [email protected]. (3) Course’s webpage: http://www.ssc.upenn.edu/ ̃davilaj/econ898.html (4) Meetings: Monday and Wednesday, from 10:30 to 12:00 at 395 McNeil. (5...