COEXISTING PERIODIC ORBITS IN VIBRO-IMPACTING DYNAMICAL SYSTEMS  

作　　者：李群宏 陆启韶 

机构地区：[1]School of Science,Beijing University of Aeronautics and Astronautics

出　　处：《Applied Mathematics and Mechanics(English Edition)》2003年第3期261-273,共13页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina ( 1 9990 51 0 ,1 9872 0 1 0 ) ;theDoctoralFoundationofNationalEducationalMinistryofChina ( 980 0 0 61 9)

摘　　要：A method is presented to seek for coexisting periodic orbits which may be stable or unstable in piecewise-linear vibro-impacting systems. The conditions for coexistence of single impact periodic orbits are derived, and in particular, it is investigated in details how to assure that no other impacts will happen in an evolution period of a single impact periodic motion. Furthermore, some criteria for nonexistence of single impact periodic orbits with specific periods are also established. Finally, the stability of coexisting periodic orbits is discussed, and the corresponding computation formula is given. Examples of numerical simulation are in good agreement with the theoretic analysis.A method is presented to seek for coexisting periodic orbits which may be stable or unstable in piecewise-linear vibro-impacting systems. The conditions for coexistence of single impact periodic orbits are derived, and in particular, it is investigated in details how to assure that no other impacts will happen in an evolution period of a single impact periodic motion. Furthermore, some criteria for nonexistence of single impact periodic orbits with specific periods are also established. Finally, the stability of coexisting periodic orbits is discussed, and the corresponding computation formula is given. Examples of numerical simulation are in good agreement with the theoretic analysis.

关 键 词：vibro-impact system periodic orbit EXISTENCE STABILITY 

分 类 号：O322[理学—一般力学与力学基础]