期刊
BIOLOGICAL CYBERNETICS
卷 113, 期 1-2, 页码 11-46出版社
SPRINGER
DOI: 10.1007/s00422-018-0780-z
关键词
Phase reduction; Optimal control; Nonlinear oscillators; Control of biological systems
资金
- National Science Foundation [NSF-1635542, NSF-1602841]
A powerful technique for the analysis of nonlinear oscillators is the rigorous reduction to phase models, with a single variable describing the phase of the oscillation with respect to some reference state. An analog to phase reduction has recently been proposed for systems with a stable fixed point, and phase reduction for periodic orbits has recently been extended to take into account transverse directions and higher-order terms. This tutorial gives a unified treatment of such phase reduction techniques and illustrates their use through mathematical and biological examples. It also covers the use of phase reduction for designing control algorithms which optimally change properties of the system, such as the phase of the oscillation. The control techniques are illustrated for example neural and cardiac systems.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据