周期轨道
模块化设计
数学
多样性(控制论)
数学分析
计算机科学
统计
操作系统
出处
期刊:The IMA volumes in mathematics and its applications
日期:2001-01-01
卷期号:: 141-202
被引量:9
标识
DOI:10.1007/978-1-4613-0117-2_6
摘要
In this work, we establish a modular geometric method to demonstrate the existence of periodic orbits in singularly perturbed systems of differential equations. These orbits have alternating fast and slow segments, reflecting the two time scales in the problems. The method involves converting the periodic orbit problem into a boundary value problem in an appropriately augmented system, and it employs several versions of the exchange lemmas due to Jones, Kopell, Kaper and Tin. It is applicable to models that arise in a wide variety of scientific disciplines, and applications are given to the FitzHugh-Nagumo, Hodgkin-Huxley, and Gray-Scott systems.
科研通智能强力驱动
Strongly Powered by AbleSci AI