Frequency-Domain Approach to Hopf Bifurcation Analysis:Continuous Time-Delayed Systems(World Scientific Series on Nonlinear Science Series A)

HOPF分岔分析的频域方法:连续时滞系统

基础力学

原   价:
1536.00
售   价:
1152.00
发货周期:预计3-5周发货
作      者
出  版 社
出版时间
2019年10月08日
装      帧
精装
ISBN
9789811205460
复制
页      码
350
语      种
英文
综合评分
暂无评分
我 要 买
- +
库存 30 本
  • 图书详情
  • 目次
  • 买家须知
  • 书评(0)
  • 权威书评(0)
图书简介
This book is devoted to the study of an effective frequency-domain approach, based on systems control theory, to compute and analyze several types of standard bifurcation conditions for general continuous-time nonlinear dynamical systems. A very rich pictorial gallery of local bifurcation diagrams for such nonlinear systems under simultaneous variations of several system parameters is presented. Some higher-order harmonic balance approximation formulas are derived for analyzing the oscillatory dynamics in small neighborhoods of certain types of Hopf and degenerate Hopf bifurcations. The frequency-domain approach is then extended to the large class of delay-differential equations, where the time delays can be either discrete or distributed. For the case of discrete delays, two alternatives are presented, depending on the structure of the underlying dynamical system, where the more general setting is then extended to the case of distributed time-delayed systems. Some representative examples in engineering and biology are discussed. Key Features: ○Offers an enlightening graphical representation for several types of Hopf and degenerate Hopf bifurcations ○Enables the approximation of a periodic solution with higher-order precision in the vicinity of the singularity through the methodology ○Presents a unified view for nonlinear control systems by using the harmonic balance method for continuous time-delayed feedback systems
本书暂无推荐
本书暂无推荐
看了又看
  • 上一个
  • 下一个