Transition sets of bifurcations of dynamical systems with two statevariables with constraints  

作　　者：李军 陈予恕 

机构地区：[1]School of Astronautics,Harbin Institute of Technology,P.O.Box 137

出　　处：《Applied Mathematics and Mechanics(English Edition)》2012年第2期139-154,共16页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China (No. 10632040)

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-dimensionM 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.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-dimensionM 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.

关 键 词：BIFURCATION CONSTRAINT singularity theory nonlinear dynamics two statevariables 

分 类 号：O19[理学—数学] O322[理学—基础数学]