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Volumn 16, Issue 4, 2006, Pages 1851-1892

Transition times and stochastic resonance for multidimensional diffusions with time periodic drift: A large deviations approach

Author keywords

Diffusion; Double well potential; Exit time distribution; Large deviations; Noise induced transition; Optimal tuning; Periodic potential; Perturbed dynamical system; Stochastic resonance

Indexed keywords


EID: 33846888750     PISSN: 10505164     EISSN: 10505164     Source Type: Journal    
DOI: 10.1214/105051606000000385     Document Type: Article
Times cited : (7)

References (18)
  • 1
    • 33846859000 scopus 로고    scopus 로고
    • AZENCOTT, R. (1980). Grandes déviations et applications. Ecole d'Ete de Probabilites de Saint-Flour VIII. Lecture Notes in Math. 774 1-176. Springer, Berlin. MR0590626
    • AZENCOTT, R. (1980). Grandes déviations et applications. Ecole d'Ete de Probabilites de Saint-Flour VIII. Lecture Notes in Math. 774 1-176. Springer, Berlin. MR0590626
  • 2
    • 33846868287 scopus 로고    scopus 로고
    • BALDI, P. and CHALEYAT-MAUREL, M. (1988). An extension of Ventsel-Freidlin estimates. Stochastic Analysis and Related Topics (Silivri, 1986). Lecture Notes in Math. 1316 305-327. Springer, Berlin. MR0953801
    • BALDI, P. and CHALEYAT-MAUREL, M. (1988). An extension of Ventsel-Freidlin estimates. Stochastic Analysis and Related Topics (Silivri, 1986). Lecture Notes in Math. 1316 305-327. Springer, Berlin. MR0953801
  • 3
    • 20644470598 scopus 로고
    • The mechanism of stochastic resonance
    • MR0633455
    • BENZI, R., SUTERA, A. and VULPIANI, A. (1981). The mechanism of stochastic resonance. J. Phys. A 14 L453-L457. MR0633455
    • (1981) J. Phys. A , vol.14
    • BENZI, R.1    SUTERA, A.2    VULPIANI, A.3
  • 4
    • 33846894217 scopus 로고    scopus 로고
    • DEMBO, A. and ZEITOUNI, O. (1998). Large Deviations Techniques and Applications, 2nd ed. Springer, New York. MR1619036
    • DEMBO, A. and ZEITOUNI, O. (1998). Large Deviations Techniques and Applications, 2nd ed. Springer, New York. MR1619036
  • 5
    • 0347945241 scopus 로고    scopus 로고
    • Quasi-deterministic approximation, metastability and stochastic resonance
    • MR1740101
    • FREIDLIN, M. (2000). Quasi-deterministic approximation, metastability and stochastic resonance. Phys. D 137 333-352. MR1740101
    • (2000) Phys. D , vol.137 , pp. 333-352
    • FREIDLIN, M.1
  • 6
    • 33846889871 scopus 로고    scopus 로고
    • FREIDLIN, M. and WENTZELL, A. (1998). Random Perturbations of Dynamical Systems, 2nd ed. Springer, New York. MR1652127
    • FREIDLIN, M. and WENTZELL, A. (1998). Random Perturbations of Dynamical Systems, 2nd ed. Springer, New York. MR1652127
  • 8
    • 14544289325 scopus 로고    scopus 로고
    • Barrier crossings characterize stochastic resonance
    • MR1943561
    • HERRMANN, S. and IMKELLER, P. (2002). Barrier crossings characterize stochastic resonance. Stock. Dyn. 2 413-436. MR1943561
    • (2002) Stock. Dyn , vol.2 , pp. 413-436
    • HERRMANN, S.1    IMKELLER, P.2
  • 9
    • 14544295404 scopus 로고    scopus 로고
    • The exit problem for diffusions with time-periodic drift and stochastic resonance
    • MR2115035
    • HERRMANN, S. and IMKELLER, P. (2005). The exit problem for diffusions with time-periodic drift and stochastic resonance. Ann. Appl. Probab. 15 39-68. MR2115035
    • (2005) Ann. Appl. Probab , vol.15 , pp. 39-68
    • HERRMANN, S.1    IMKELLER, P.2
  • 10
    • 0038610949 scopus 로고    scopus 로고
    • Boundedness and convergence of some self-attracting diffusions
    • MR1957265
    • HERRMANN, S. and ROYNETTE, B. (2003). Boundedness and convergence of some self-attracting diffusions. Math. Ann. 325 81-96. MR1957265
    • (2003) Math. Ann , vol.325 , pp. 81-96
    • HERRMANN, S.1    ROYNETTE, B.2
  • 11
    • 0000183328 scopus 로고
    • Theory of stochastic resonance
    • MCNAMARA, B. and WIESENFELD, K. (1989). Theory of stochastic resonance. Phys. Rev. A 39 4854-4869.
    • (1989) Phys. Rev. A , vol.39 , pp. 4854-4869
    • MCNAMARA, B.1    WIESENFELD, K.2
  • 12
    • 0002567630 scopus 로고
    • Stochastic aspects of climatic transitions - responses to periodic forcing
    • MR0646774
    • NICOLIS, C. (1982). Stochastic aspects of climatic transitions - responses to periodic forcing. Tellus 34 1-9. MR0646774
    • (1982) Tellus , vol.34 , pp. 1-9
    • NICOLIS, C.1
  • 14
    • 33846874266 scopus 로고    scopus 로고
    • PRIOURET, P. (1982). Remarques sur les petites perturbations de systèmes dynamiques. Seminaire de Probabilites XVI. Lecture Notes in Math. 920 184-200. Springer, Berlin. MR0658679
    • PRIOURET, P. (1982). Remarques sur les petites perturbations de systèmes dynamiques. Seminaire de Probabilites XVI. Lecture Notes in Math. 920 184-200. Springer, Berlin. MR0658679
  • 15
    • 0031070916 scopus 로고    scopus 로고
    • Self-attracting diffusions: Case of the constant interaction
    • MR1431218
    • RAIMOND, O. (1997). Self-attracting diffusions: Case of the constant interaction. Probab. Theory Related Fields 107 177-196. MR1431218
    • (1997) Probab. Theory Related Fields , vol.107 , pp. 177-196
    • RAIMOND, O.1
  • 16
    • 33846863690 scopus 로고    scopus 로고
    • REVUZ, D. and YOR, M. (1999). Continuous Martingales and Brownian Motion, 3rd ed. Springer, Berlin. MR1725357
    • REVUZ, D. and YOR, M. (1999). Continuous Martingales and Brownian Motion, 3rd ed. Springer, Berlin. MR1725357
  • 17
    • 33846864099 scopus 로고    scopus 로고
    • STROOCK, D. W. and VARADHAN, S. R. S. (1979). Multidimensional Diffusion Processes. Springer, Berlin. MR0532498
    • STROOCK, D. W. and VARADHAN, S. R. S. (1979). Multidimensional Diffusion Processes. Springer, Berlin. MR0532498
  • 18
    • 0039690125 scopus 로고
    • Small random perturbations of dynamical systems
    • MR0267221
    • VENTCEL, A. D. and FREIDUN, M. I. (1970). Small random perturbations of dynamical systems. Uspehi Mat. Nauk 25 3-55. MR0267221
    • (1970) Uspehi Mat. Nauk , vol.25 , pp. 3-55
    • VENTCEL, A.D.1    FREIDUN, M.I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.