PDF下载 分享
[1]吴志强,王耀光,张祥云,等.一类三稳态系统确定性及随机分岔现象分析[J].天津大学学报(自然科学版),2018,(09):895-902.[doi:10.11784/tdxbz201801003]
 Wu Zhiqiang,Wang Yaoguang,Zhang Xiangyun,et al.Deterministic and Stochastic Bifurcations of a Tri-Stable System[J].Journal of Tianjin University,2018,(09):895-902.[doi:10.11784/tdxbz201801003]
点击复制

一类三稳态系统确定性及随机分岔现象分析

参考文献/References:

[1] 朱位秋. 随机动力学引论[M]. 北京:科学出版社, 2017.
Zhu Weiqiu. Introduction to Stochastic Dynamics[M]. Beijing:Science Press, 2017(in Chinese).
[2] Sun Jian-Qiao. Stochastic Dynamics and Control[M]. Nederland:Elsevier, 2006.
[3] Chen Lincong, Zhu Weiqiu. Stochastic jump and bifurcation of Duffing oscillator with fractional derivative damping under combined harmonic and white noise excitations[J]. International Journal of Non-Linear Mechanics, 2011, 46(10):1324-1329.
[4] Kumar P, Narayanan S, Gupta S. Investigations on the bifurcation of a noisy Duffing-van der Pol oscillator[J]. Probabilistic Engineering Mechanics, 2016, 45:70-86.
[5] Christiansen L E, Mosekilde E, Matsushita H. Nonlinear characteristics of randomly excited transonic flutter [J]. Mathematics & Computers in Simulation, 2002, 58(4/5/6):385-405.
[6] Xu Yong, Liu Qi, Guo Guobin, et al. Dynamical responses of airfoil models with harmonic excitation under uncertain disturbance[J]. Nonlinear Dynamics, 2017(3):1-12.
[7] Javed U, Abdelkefi A, Akhtar I. An improved stability characterization for aeroelastic energy harvesting applications[J]. Communications in Nonlinear Science and Numerical Simulation, 2016, 36:252-265.
[8] Dimitriadis G, Li J. Bifurcation behavior of airfoil undergoing stall flutter oscillations in low-speed wind tunnel[J]. Aiaa Journal, 2009, 47(47):2577-2596.
[9] Lee B H K, Liu L, Chung K W. Airfoil motion in subsonic flow with strong cubic nonlinear restoring forces [J]. Journal of Sound and Vibration, 2005, 281(3/4/5):699-717.
[10] Dong H, Zeng J. Normal form method for large/small amplitude instability criterion with application to wheel set lateral stability[J]. International Journal of Structural Stability & Dynamics, 2014, 14(3):394-410.
[11] Iwnicki S. Handbook of Railway Vehicle Dynamics[M]. UK:CRC/Taylor & Francis, 2006.
[12] Xu Yong, Gu Rencai, Zhang Huiqing, et al. Stochastic bifurcations in a bistable Duffing-van der Pol oscillator with colored noise[J]. Phys Rev E, Stat Nonlin Soft Matter Phys, 2011, 83(5):56211-56215.
[13] Zakharova A, Vadivasova T, Anishchenko V, et al. Stochastic bifurcations and coherencelike resonance in a self-sustained bistable noisy oscillator[J]. Physical Review E, Stat Nonlin Soft Matter Phys, 2010, 81(1):95-102.
[14] Yamapi R, Chamgoué A C, Filatrella G, et al. Coherence and stochastic resonance in a birhythmic van der Pol system[J]. The European Physical Journal B, 2017, 90(8):153.
[15] 吴志强, 郝颖. 随机激励van der Pol-Duffing方程三峰P-分岔[J]. 中国科学:物理学 力学 天文学, 2013, 43(4):524-529.
Wu Zhiqiang, Hao Ying. Three-peak P-bifurcations in stochastically excited van der Pol-Duffing oscillator[J]. Scientia Sinica:Physica, Hechanica and Astronomica, 2013, 43(4):524-529(in Chinese).
[16] 郝颖, 吴志强. 三稳态van der Pol-Duffng振子的随机p分岔[J]. 力学学报, 2013, 45(2):257-264.
Hao Ying, Wu Zhiqiang. Stochastic P-bifurcation of tri-stable van der Pol-Duffing oscillator[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(2):257-264(in Chinese).
[17] 吴志强, 张宝强. 基于九阶van der Pol方程的三稳态电路设计及实现[J]. 天津大学学报:自然科学与工程技术版, 2016, 49(7):709-715.
Wu Zhiqiang, Zhang Baoqiang. Design and implementation of tri-stable circuit based on the ninth-order van der Pol equation[J]. Journal of Tianjin University:Science and Technology, 2016, 49(7):709-715(in Chinese).
[18] 吴志强, 郝颖. 乘性色噪声激励下三稳态van der Pol-Duffing振子随机P-分岔[J]. 物理学报, 2015, 64(6):060501-1-060501-6.
Wu Zhingqiang, Hao Ying. Stochastic P-bifurcations in tri-stable van der Pol-Duffing oscillator with multiplicative colored noise[J]. Acta Physica Sinica, 2015, 64(6):060501-1-060501-6(in Chinese).

备注/Memo

收稿日期: 2018-01-01; 修回日期: 2018-03-04.
作者简介: 吴志强(1968—), 男, 博士, 教授.
通讯作者: 吴志强, zhiqwu@tju.edu.cn.
基金项目: 国家重点基础研究发展计划(973计划)资助项目(2014CB046805); 国家自然科学基金资助项目(11672349, 11372211).
Supported by the National Basic Research Program of China(No.,2014CB46805) and the National Natural Science Foundation of China (No.,11672349 and No.,11372211).

更新日期/Last Update: 2018-09-10