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Volumn 12, Issue 4, 2002, Pages 1419-1470

A sample-paths approach to noise-induced synchronization: Stochastic resonance in a double-well potential

Author keywords

Additive noise; Concentration of measure; Double well potential; Noise induced synchronization; Nonautonomous stochastic differential equations; Pathwise description; Random dynamical systems; Singular perturbations; Stochastic resonance

Indexed keywords


EID: 0036441370     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1037125869     Document Type: Article
Times cited : (31)

References (17)
  • 1
    • 20644470598 scopus 로고
    • The mechanism of stochastic resonance
    • BENZI, R., SUTERA, A. and VULPIANI, A. (1981). The mechanism of stochastic resonance. J. Phys. A 14 L453-L457.
    • (1981) J. Phys. A , vol.14
    • Benzi, R.1    Sutera, A.2    Vulpiani, A.3
  • 3
    • 0036004914 scopus 로고    scopus 로고
    • Pathwise description of dynamic pitchfork bifurcations with additive noise
    • BERGLUND, N. and GENTZ, B. (2001). Pathwise description of dynamic pitchfork bifurcations with additive noise. Probab. Theory Related Fields 122 341-388.
    • (2001) Probab. Theory Related Fields , vol.122 , pp. 341-388
    • Berglund, N.1    Gentz, B.2
  • 4
    • 0037040838 scopus 로고    scopus 로고
    • Beyond the Fokker-Planck equation: Pathwise control of noisy bistable systems
    • BERGLUND, N. and GENTZ, B. (2002). Beyond the Fokker-Planck equation: pathwise control of noisy bistable systems. J. Phys. A 35 2057-2091.
    • (2002) J. Phys. A , vol.35 , pp. 2057-2091
    • Berglund, N.1    Gentz, B.2
  • 5
    • 0000516157 scopus 로고
    • Remarks on stochastic resonance
    • ECKMANN, J.-P. and THOMAS, L. E. (1982). Remarks on stochastic resonance. J. Phys. A 15 L261-L266.
    • (1982) J. Phys. A , vol.15
    • Eckmann, J.-P.1    Thomas, L.E.2
  • 6
    • 48749145991 scopus 로고
    • Stochastic resonance in a bistable system
    • FAUVE, S. and HESLOT, F. (1983). Stochastic resonance in a bistable system. Phys. Lett. 97A 5-7.
    • (1983) Phys. Lett. , vol.97 A , pp. 5-7
    • Fauve, S.1    Heslot, F.2
  • 7
    • 0001688702 scopus 로고
    • Stochastic resonance in a double well
    • FOX, R. F. (1989). Stochastic resonance in a double well. Phys. Rev. A 39 4148-4153.
    • (1989) Phys. Rev. A , vol.39 , pp. 4148-4153
    • Fox, R.F.1
  • 8
    • 0347945241 scopus 로고    scopus 로고
    • Quasi-deterministic approximation, metastability and stochastic resonance
    • FREIDLIN, M. I. (2000). Quasi-deterministic approximation, metastability and stochastic resonance. Phys. D 137 333-352.
    • (2000) Phys. D , vol.137 , pp. 333-352
    • Freidlin, M.I.1
  • 9
    • 0000057019 scopus 로고
    • Applications of A. M. Lyapunov's theory of stability to the theory of differential equations with small coefficients in the derivatives
    • GRADŠTEǏN, I. S. (1953). Applications of A. M. Lyapunov's theory of stability to the theory of differential equations with small coefficients in the derivatives. Mat. Sbornik N.S. 32 263-286.
    • (1953) Mat. Sbornik N.S. , vol.32 , pp. 263-286
    • Gradšteǐn, I.S.1
  • 10
    • 84956133720 scopus 로고
    • Stochastic nonlinear dynamics modulated by external periodic forces
    • JUNG, P. and HÄNGGI, P. (1989). Stochastic nonlinear dynamics modulated by external periodic forces. Europhys. Lett. 8 505-510.
    • (1989) Europhys. Lett. , vol.8 , pp. 505-510
    • Jung, P.1    Hänggi, P.2
  • 11
    • 33645088706 scopus 로고
    • Amplification of small signals via stochastic resonance
    • JUNG, P. and HÄNGGI, P. (1991). Amplification of small signals via stochastic resonance. Phys. Rev. A 44 8032-8042.
    • (1991) Phys. Rev. A , vol.44 , pp. 8032-8042
    • Jung, P.1    Hänggi, P.2
  • 12
    • 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
  • 13
    • 0002459550 scopus 로고
    • The benefits of background noise
    • MOSS, F. and WIESENFELD, K. (1995). The benefits of background noise. Scientific American 273 50-53.
    • (1995) Scientific American , vol.273 , pp. 50-53
    • Moss, F.1    Wiesenfeld, K.2
  • 15
    • 0000012386 scopus 로고
    • Mean switching frequency locking in stochastic bistable systems driven by a periodic force
    • SHULGIN, B., NEIMAN, A. and ANISHCHENKO, V. (1995). Mean switching frequency locking in stochastic bistable systems driven by a periodic force. Phys. Rev. Lett. 75 4157-4160.
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 4157-4160
    • Shulgin, B.1    Neiman, A.2    Anishchenko, V.3
  • 16
    • 0000559545 scopus 로고
    • Systems of differential equations containing small parameters in the derivatives
    • TIHONOV, A. N. (1952). Systems of differential equations containing small parameters in the derivatives. Mat. Sbornik N.S. 31 575-586.
    • (1952) Mat. Sbornik N.S. , vol.31 , pp. 575-586
    • Tihonov, A.N.1
  • 17
    • 0028897281 scopus 로고
    • Stochastic resonance and the benefits of noise: From ice ages to crayfish and SQUIDs
    • WIESENFELD, K. and MOSS, F. (1995). Stochastic resonance and the benefits of noise: from ice ages to crayfish and SQUIDs. Nature 373 33-36.
    • (1995) Nature , vol.373 , pp. 33-36
    • Wiesenfeld, K.1    Moss, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.