ON HOMOCLINIC BIFURCATION SYSTEM IN THE PRESENCE OF STOCHASTIC PERTURBATION

ON HOMOCLINIC BIFURCATION SYSTEM IN THE PRESENCE OF STOCHASTIC PERTURBATION

导出

摘要 By virtue of the singular point theory for one-dimension diffusionprocess and the stochastic averaging approach of energy envelop, thebifurcation behavior of a homoclinic bifurcation system, which is inthe presence of parametric white noise and is concealed behind acodimension two bifurcation point, is investigated in this paper. By virtue of the singular point theory for one-dimension diffusionprocess and the stochastic averaging approach of energy envelop, thebifurcation behavior of a homoclinic bifurcation system, which is inthe presence of parametric white noise and is concealed behind acodimension two bifurcation point, is investigated in this paper.

作者 Liu Xianbin Chen Qiu

机构地区 SW Jiaotong Univ SW Jiaotong Univ

出处《Acta Mechanica Solida Sinica》 SCIE EI 1998年第1期37-45,共9页 固体力学学报（英文版）

基金 Supported by the National Science Foundation of China under Grant No.19602016

关键词 codimension 2 bifurcation parametric white noise excitation diffusionprocess codimension 2 bifurcation parametric white noise excitation diffusionprocess

分类号 O211.6 [理学—概率论与数理统计]

引文网络
相关文献

参考文献11

1Zhu,W.Q.Stochastic Vibration. . 1992 被引量：1
2Liu,S.S.,Liu,S.D.Special Function. . 1988 被引量：1
3Liu Xianhin.Bifurcation behavior of stochastic mechanics system and its variational method. . 1995 被引量：1
4Ito K,Mckean Jr H P.Diffusion processes and their sample paths. . 1965 被引量：1
5Karlin S,Taylor H M.A second course in stochastic processes. . 1981 被引量：1
6ZHang Z Y,Kozin F.On almost sure sample stability of nonlinear stochastic dynamic systems. In: Proc of IEEE Inter Conf on System Engrg,Pittsburg . 1990 被引量：1
7Lin Y K,Cai G Q.Stochastic stability of nonlinear systems. International Journal of Nonlinear Sciences and Numerical Simulation . 1994 被引量：1
8John Guckenheimer,hilip Holmes,Nonlinear Oscillations.Dynamical Systems and Bifurcations of Vector Fields. . 1983 被引量：1
9Schuss Z.Theory and applications of stochastic differential equations. . 1980 被引量：1
10Liu Xianbin,Chen Qiu,Chen Dapeng.Theresearchesonthestability and bifurcation ofnonlinearstochastic dynamicalsystems. Advancesin Mechanics . 1996 被引量：1

1Jiahe Xu,Kang Zhou,Qiuying Lu.ASYMPTOTIC BEHAVIOR FOR GENERALIZED GINZBURG-LANDAU POPULATION EQUATION WITH STOCHASTIC PERTURBATION[J].Annals of Applied Mathematics,2016,32(2):174-182.
2戴正德,蒋慕蓉,戴庆云,李绍林.Homoclinic Bifurcation for Boussinesq Equation with Even Constraint[J].Chinese Physics Letters,2006,23(5):1065-1067. 被引量：9
3Zhu Deming.Stability and Uniqueness of Periodic Orbits Produced During Homoclinic Bifurcation[J].Acta Mathematica Sinica,English Series,1995,11(3):267-277. 被引量：8
4Chun Yan JI,Da Qing JIANG,Ning Zhong SHI.Two-group SIR Epidemic Model with Stochastic Perturbation[J].Acta Mathematica Sinica,English Series,2012,28(12):2545-2560. 被引量：5
5ZHENJIE LIU,JINLIANG WANG,YALAN XU,GUOQIANG LI.DYNAMIC ANALYSIS OF AN SIR MODEL WITH STOCHASTIC PERTURBATIONS[J].International Journal of Biomathematics,2013,6(6):63-77.
6Mei Li,Hongjun Gao,Chenfeng Sun,Yuezheng Gong.Analysis of a mutualism model with stochastic perturbations[J].International Journal of Biomathematics,2015,8(6):19-36. 被引量：3
7CHUANJUN DAI,MIN ZHAO,LANSUN CHEN.HOMOCLINIC BIFURCATION IN SEMI-CONTINUOUS DYNAMIC SYSTEMS[J].International Journal of Biomathematics,2012,5(6):183-201. 被引量：3
8邹永魁,佘彦.Homoclinic Bifurcation Properties near Eight-figure Homoclinic Orbit[J].Northeastern Mathematical Journal,2002,18(1):79-88.
9Fei-min HUANG,Xing LI.Convergence to the Rarefaction Wave for a Model of Radiating Gas in One-dimension[J].Acta Mathematicae Applicatae Sinica,2016,32(2):239-256. 被引量：2
10ZHU DEMING(Department of Matehematics,East China Normal University, Shanghai 200062, China).HOMOCLINIC BIFURCATION WITH CODIMENSION 3[J].Chinese Annals of Mathematics,Series B,1994,15(2):205-216. 被引量：5

Acta Mechanica Solida Sinica

1998年第1期

浏览历史

内容加载中请稍等...

ON HOMOCLINIC BIFURCATION SYSTEM IN THE PRESENCE OF STOCHASTIC PERTURBATION

参考文献11

相关作者

相关机构

相关主题

浏览历史