STRONGLY RESONANT BIFURCATIONS OF NONLINEARLY COUPLED VAN DER POL-DUFFING OSCILLATOR  

作　　者：甘春标 陆启韶 黄克累 

出　　处：《Applied Mathematics and Mechanics(English Edition)》1999年第1期68-75,共8页应用数学和力学（英文版）

摘　　要：In this paper, the strongly resonant bifurcations of a nonlinearly coupled Van der Pol-Duffing Oscillator by the classical multi-scale method are studied. It is shown that there exist periodic motions of a single oscillator, frequency-looking and quasi-periodic motions of two oscillators when the parameters vary. Meanwhile, some numerical results are given to test the theoretical ones.In this paper, the strongly resonant bifurcations of a nonlinearly coupled Van der Pol-Duffing Oscillator by the classical multi-scale method are studied. It is shown that there exist periodic motions of a single oscillator, frequency-looking and quasi-periodic motions of two oscillators when the parameters vary. Meanwhile, some numerical results are given to test the theoretical ones.

关 键 词：nonlinearly coupling multi-scale method frequency-locking QUASI-PERIODIC 

分 类 号：O322[理学—一般力学与力学基础]