CAJ | 학술논문

研究了一类拟 Hamilton碰振系统的全局动力学特性，参照同宿轨道的 Melni-kov函数形式，构造了周期轨道次谐Melnikov函数。并用一类拟 Hamilton碰振系统详细介绍了其计算方法和运用，数值结果验证了构造的次谐 Melnikov 函数的有效性。另外用改进的胞映射方法对这类系统的全局分岔和多解共存现象进行了分析，发现随着外激励力的变动吸引子数量发生变化，各个吸引域形态复杂且相互缠绕。
연구료일류의 Hamilton팽진계통적전국동역학특성，삼조동숙궤도적 Melni-kov함수형식，구조료주기궤도차해Melnikov함수。병용일류의 Hamilton팽진계통상세개소료기계산방법화운용，수치결과험증료구조적차해 Melnikov 함수적유효성。령외용개진적포영사방법대저류계통적전국분차화다해공존현상진행료분석，발현수착외격려력적변동흡인자수량발생변화，각개흡인역형태복잡차상호전요。
This paper studied the global dynamic properties of a quasi-Hamiltonian vibro-impact sys-tem.By referring to Melnikov function for homoclinic orbit in the quasi-Hamiltonian system,the subhar-monic Melnikov function for periodic orbit was constructed.A quasi-Hamiltonian vibro-impact system was given to illustrate the application of the procedures,and the validity of the function was verified with nu-merical results.At the same time,the global bifurcations and coexistence of multiple solutions for this vi-bro-impact system were analyzed in the improved cell mapping method.The number of coexistent attractor changes with the change of external excitation force,and domains of attraction with complicated fractal boundaries are intertwined.