Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (2): 139-154.doi: https://doi.org/10.1007/s10483-012-1539-7

• Articles •    下一篇

Transition sets of bifurcations of dynamical systems with two state variables with constraints

李军 陈予恕   

  1. 李军 陈予恕
  • 收稿日期:2011-08-19 修回日期:2011-12-04 出版日期:2012-01-11 发布日期:2012-02-01

Transition sets of bifurcations of dynamical systems with two state variables with constraints

LI Jun, CHEN Yu-Shu   

  1. LI Jun, CHEN Yu-Shu
  • Received:2011-08-19 Revised:2011-12-04 Online:2012-01-11 Published:2012-02-01

PDF

520

被引次数

9

摘要： Bifurcation of periodic solutions widely exists in nonlinear dynamical systems. In this paper, categories of bifurcations of systems with two state variables with different types of constraints are discussed, where some new types of transition sets are added. Additionally, the bifurcation properties of two-dimensional systems without constraints are compared with the ones with constraints. The results obtained in this paper can be used by engineers for the choice of the structural parameters of the systems.

Abstract: Bifurcation of periodic solutions widely exists in nonlinear dynamical systems. In this paper, categories of bifurcations of systems with two state variables with different types of constraints are discussed, where some new types of transition sets are added. Additionally, the bifurcation properties of two-dimensional systems without constraints are compared with the ones with constraints. The results obtained in this paper can be used by engineers for the choice of the structural parameters of the systems.

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals
Total visitors:
Copyright © Applied Mathematics and Mechanics (English Edition)
Address：P. O. Box 122, Shanghai University, 99 Shangda Road, Shanghai 200444, China
E-mail： amm@department.shu.edu.cn
Technical support: Beijing Magtech Co.ltd support@magtech.com.cn