拟哈密顿系统的随机稳定性
摘要
迄今，有关随机稳定性的具体研究成果在多限于单自由度或二维线性随机系统。本文简要介绍近来我们在多自由度拟哈密顿系统（在弱随机激励与小耗散力作用下的哈密顿系统）的随机性上取得的一些新成果。
参考文献17
-
1朱位秋.随机激励的可积与不可积Hamilton系统的精确平稳解[J].科学通报,1995,40(21):1942-1946. 被引量：2
-
2Zhu W Q,Yang Y Q,Exact stationary solutions of stochastically exclted and dissipated integable Hamlltonlan systms,Journal of Applied Mechanics,ASME,1996,63:493-500.
-
3Zhu W Q,Soong TT,Lei Y Equivalent nonlinear system method for stochastically excited Hamlltonian systems Journal of Applied Mechanics,SAME,1994,61:618-623.
-
4Zhu W Q,Lei Y Equivalent nonlinear system method for stochastically excited and dissipated inlegrable Hamiltonian systems.Journal of Applied Mechanics,ASME,1997,64:209-216.
-
5Zhu W Q,Stochastic averaging of quasl-Hamlltonian systems Science in China,1996,39(1):97-108.
-
6Zhu W Q,Rcent developent and applications of stochastic averaging method in random vlbration.Applled Mechanics Reviews,ASME,1996,49(10):part2,372-380.
-
7Zhu W Q,Yang Y Q,Stochastic averaging of quasl-nonintegrable-Hamlltonian systems,Journal of Applied Mochanics,ASME,1997,64:157-164.
-
8Zhu W Q,Huang Z L,Yang Y Q,Stochastic averaging of quasi-integrable-Hamlltonian systems,Journal of Applied Mechanics,ASME,1997,64:975-984.
-
9Huang Z L,Zhu W Q,Exact stationary solutions of averaged equations of stochastically and harmonically excited MDOF quasi-linear systems with internal and/or external resonances,Journal of Sound and Viberation,1997,204:249-258.
-
10Zhu W Q,Huang Z L,Lyapunov exponents and stochastic stability of quasi-integrable-Hamiltonian systems,submitted to Joumal of Applied Mechanics,ASME.
二级参考文献3
-
1朱位秋，Nonlinear Stochastic Mechanics，1992年
-
2朱位秋，随机振动，1992年
-
3朱位秋，Probabilistic Engineering Mechanics，1990年，5卷，84页
-
1刘先斌,陈虬,陈大鹏.随机扰动的同宿分岔系统研究[J].固体力学学报,1998,19(1):26-32.
-
2田静.阻尼随机系统中的首次穿越[J].科技信息,2013(23):4-5.
-
3朱位秋.拟Hamilton系统的随机平均[J].中国科学（A辑）,1995,25(10):1091-1100. 被引量：4
-
4汪忠志.连续型随机变量序列随机选择的一类强偏差定理[J].唐山师范学院学报,2002,24(2):13-16.
-
5甘春标.高斯白噪声激励下拟可积哈密顿系统的可靠性[J].振动与冲击,2006,25(2):145-146. 被引量：5
-
6徐伟,戎海武,方同.随机平均规范形方法[J].力学学报,2003,35(6):752-756. 被引量：1
-
7Shan-shan PAN,Wei-qiu ZHU,Rong-chun HU,Rong-hua HUAN.随机激励下连续时间马尔科夫跳变非线性系统的平稳响应研究（英文）[J].Journal of Zhejiang University-Science A(Applied Physics & Engineering),2017,18(2):83-91.
-
8张雷,吴勇军.外共振耦合Duffing-van der Pol系统的首次穿越[J].力学学报,2012,44(2):437-446. 被引量：3
-
9蒋鸣晓,朱位秋.随机应力过程下半椭圆型表面裂纹的扩展[J].固体力学学报,1995,16(3):222-227.
-
10张雷,吴勇军.五自由度强非线性随机振动系统的首次穿越研究[J].振动与冲击,2012,31(12):1-4. 被引量：7
