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Probability Theory and Related Fields

Volumn 99, Issue 4, 1994, Pages 581-616

A stochastic Hopf bifurcation

(1) Baxendale, Peter H a

a UNIVERSITY OF SOUTHERN CALIFORNIA (United States)

Author keywords

Mathematics Subject Classification (1991): 60H10, 58F11, 58F14

Indexed keywords

EID: 21844497123 PISSN: 01788051 EISSN: 14322064 Source Type: Journal
DOI: 10.1007/BF01206233 Document Type: Article

Times cited : (48)

References (23)

1
- 0021477394
- A formula connecting sample and moment stability of linear stochastic systems
- (1984) SIAM. J. Appl. Math. , vol.44 , pp. 793-802
- Arnold, L.¹

2
- 84936010531
- Eigenvalues, bifurcation and center manifolds in the presence of noise
- C., Dafermos, et al., Lect. Notes Pure Appl. Math. Ser., vol. 118, Dekker, New York
- (1989) Equadiff' 87
- Arnold, L.¹ Boxler, P.²

3
- 0004162673
- Stochastic bifurcation: instructive examples in dimension one
- M., Pinsky, V., Wihstutz, Progress in Probability, vol. 27, Birkhäuser, Boston Basel Berlin
- (1992) Diffusion processes and related problems in analysis, Vol II: Stochastic flows , pp. 241-256
- Arnold, L.¹ Boxler, P.²

4
- 84936054860
- [AK] Arnold, L., Kedai, Xu: Reports number 244: Normal forms for random dynamical systems; number 256: Normal forms for random differential equations; number 259: Simultaneous normal form and center manifold reduction for random differential equations. Institut für Dynamische Systeme, Universität Bremen 1991

5
- 0000763439
- Normal forms for random diffeomorphisms
- (1992) J. Dynamics Differential Equations , vol.4 , pp. 445-483
- Arnold, L.¹ Kedai²

6
- 84936028983
- [AK2] Arnokl, L., Kedai, Xu: Normal forms for random differential equations. J. Differential Equations (to appear)

7
- 0011616213
- Simultaneous normal form and centermanifold reduction for random differential equations
- C., Prello, C., Simo, J., Sola-Morales, World Scientific, Singapore
- (1993) Equadiff' 91 , pp. 68-80
- Arnold, L.¹ Kedai²

8
- 84936012402
- [AK4] Arnold, L., Kedai, Xu: Invariant measures for random dynamical systems and a necessary condition for stochastic bifurcation from a fixed point. Random Comput. Dynamics (to appear)

9
- 0001881373
- Almost sure and moment stability for linear Itô equations
- L., Arnold, V., Wihstutz, Lect. Notes Math., vol. 1186, Springer, Berlin Heidelberg New York
- (1986) Lyapunov exponents , pp. 129-159
- Arnold, L.¹ Oeljeklaus, E.² Pardoux, E.³

10
- 0040295410
- Lyapunov exponents in stochastic structural mechanics
- L., Arnold, H., Crauel, J.-P., Eckmann, Lect. Notes Math., vol. 1486, Springer, Berlin Heidelberg New York
- (1991) Lyapunov Exponents. Proc. Oberwolfach 1990 , pp. 271-291
- Ariaratnam, S.T.¹ Xie, W.-C.²

11
- 0002247469
- Moment stability and large deviations for linear stochastic differential equations
- N., Ikeda, Kinokuniya, Tokyo
- (1987) Proc. Taniguchi Symposium on Probabilistic Methods in Mathematical Physics. Katata and Kyoto 1985 , pp. 31-54
- Baxendale, P.H.¹

12
- 0038078208
- Statistical equilibrium and two-point motion for a stochastic flow of diffeomorphisms
- K., Alexander, J., Watkins, Progress in Probability, vol. 19, Birkhäuser, Boston Basel Berlin
- (1991) Spatial Stochastic processes , pp. 189-218
- Baxendale, P.H.¹

13
- 0001053198
- Invariant measures for nonlinear stochastic differential equations
- L., Arnold, H., Crauel, J.-P., Eckmann, Lect. Notes Math., vol. 1486, Springer, Berlin Heidelberg New York
- (1991) Lyapunov Exponents. Proc. Oberwolfach 1990 , pp. 123-140
- Baxendale, P.H.¹

14
- 0000297619
- Large deviations and stochastic flows of diffeomorphisms
- (1988) Probab. Theory Relat. Fields , vol.80 , pp. 169-215
- Baxendale, P.H.¹ Stroock, D.W.²

15
- 0011607426
- A stochastic version of center manifold theory
- (1989) Probab. Theory Relat. Fields , vol.83 , pp. 509-545
- Boxler, P.¹

16
- 0001549366
- Necessary and sufficient conditions for the asymptotic stability of linear stochastic systems
- (1967) Theory of Probability & Its Applications , vol.12 , pp. 144-147
- Khas'minskii, R.Z.¹

17
- 0000073325
- Ergodic properties of recurrent diffusion processes and stabilization of the solution of the Cauchy problem for parabolic equations
- (1960) Theory of Probability & Its Applications , vol.5 , pp. 179-196
- Khas'minskii, R.Z.¹

18
- 0001479882
- Necessary and sufficient conditions for almost sure sample stability of linear Itô equations
- (1971) SIAM Journal on Applied Mathematics , vol.21 , pp. 413-424
- Kozin, F.¹ Prodromou, S.²

19
- 0002556345
- Applications of the Malliavin calculus, Part II
- (1985) J. Fac. Sci. Univ. Tokyo Sect. IA, Math. , vol.32 , pp. 1-76
- Kusuoka, S.¹ Stroock, D.²

20
- 0040624209
- Ergodic property of N-dimensional recurrent Markov processes
- (1959) Mem. Fac. Sci., Kyushu Univ., Ser. A , vol.13 , pp. 157-172
- Maruyama, G.¹ Tanaka, H.²

21
- 0013298548
- On the rate at which a homogeneous diffusion approaches a limit, an application of the large deviation theory of certain stochastic integrals
- (1986) The Annals of Probability , vol.14 , pp. 840-859
- Stroock, D.W.¹

22
- 0000395295
- Proc. Sixth Berkeley Symp. Math. Statist. Probab., vol. 3, University Press, California
- (1972) On the support of diffusion processes with applications to the strong maximum principle , pp. 333-359
- Stroock, D.W.¹ Varadhan, S.R.S.²

23
- 0012076355
- Lyapunov exponents and invariant measures of equilibria and limit cycles
- L., Arnold, H., Crauel, J.-P., Eckmann, Lect. Notes Math., vol. 1486, Springer, Berlin Heidelberg New York
- (1991) Lyapunov Exponents. Proc. Oberwolfach 1990 , pp. 308-321
- Wedig, W.¹

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