期刊
JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL
卷 50, 期 4, 页码 511-543出版社
PLEIADES PUBLISHING INC
DOI: 10.1134/S106423071104006X
关键词
-
类别
资金
- Ministry of Education and Science of the Russian Federation
- St. Petersburg University [6.37.98.2011]
- Academy of Finland [138488]
- Academy of Finland (AKA) [138488, 138488] Funding Source: Academy of Finland (AKA)
An algorithm for searching hidden oscillations in dynamic systems is developed to help solve the Aizerman's, Kalman's and Markus-Yamabe's conjectures well-known in control theory. The first step of the algorithm consists in applying modified harmonic linearization methods. A strict mathematical substantiation of these methods is given using special Poincare maps. Subsequent steps of the proposed algorithms rely on the modern applied theory of bifurcations and numerical methods of solving differential equations. These algorithms help find and localize hidden strange attractors (i.e., such that a basin of attraction of which does not contain neighborhoods of equilibria), as well as hidden periodic oscillations. One of these algorithms is used here to discover, for the first time, a hidden strange attractor in the dynamic system describing a nonlinear Chua's circuit, viz. an electronic circuit with nonlinear feedback. DOI: 10.1134/S106423071104006X
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