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Volumn 47, Issue 5, 1996, Pages 740-759

Deterministic and stochastic Duffing-van der Pol oscillators are non-explosive

Author keywords

(Strict) completeness; Deterministic and stochastic flows; Explosion; Random and stochastic differential equations

Indexed keywords


EID: 0030487210     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00915273     Document Type: Article
Times cited : (33)

References (17)
  • 2
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    • Generation of random dynamical systems
    • eds. W. Kliemann and N. Sri Namachchivaya, CRC Press, Boca Raton, Florida
    • L. Arnold, Generation of random dynamical systems, in Stochastic Modeling and Nonlinear Dynamics, eds. W. Kliemann and N. Sri Namachchivaya, CRC Press, Boca Raton, Florida, 1995.
    • (1995) Stochastic Modeling and Nonlinear Dynamics
    • Arnold, L.1
  • 9
    • 21844522446 scopus 로고
    • Strong p-completeness of stochastic differential equations and the existence of smooth flows on noncompact manifolds
    • X.-M. Li, Strong p-completeness of stochastic differential equations and the existence of smooth flows on noncompact manifolds, Probability Theory and Related Fields 100 (1994), 485-511.
    • (1994) Probability Theory and Related Fields , vol.100 , pp. 485-511
    • Li, X.-M.1
  • 12
    • 0040174384 scopus 로고
    • Explosion time of second-order Ito processes
    • K. Narita, Explosion time of second-order Ito processes, J. of Math. Anal. & Appl. 104 (1984), 418-427.
    • (1984) J. of Math. Anal. & Appl. , vol.104 , pp. 418-427
    • Narita, K.1
  • 13
    • 0030290070 scopus 로고    scopus 로고
    • Bifurcation scenarios of the noisy Duffing-van der pol oscillator
    • to appear
    • K. R. Schenk-Hoppé, Bifurcation scenarios of the noisy Duffing-van der Pol oscillator, Nonlinear Dynamics, to appear (1996).
    • (1996) Nonlinear Dynamics
    • Schenk-Hoppé, K.R.1
  • 14
    • 0024135650 scopus 로고
    • Hopf bifurcation in the presence of both parametric and external stochastic excitations
    • N. Sri Namachchivaya, Hopf bifurcation in the presence of both parametric and external stochastic excitations, J. Appl. Mech. 55 (1988), 923-930.
    • (1988) J. Appl. Mech. , vol.55 , pp. 923-930
    • Sri Namachchivaya, N.1
  • 16
    • 0002801174 scopus 로고
    • On the gap between deterministic and stochastic ordinary differential equations
    • H. J. Sussmann, On the gap between deterministic and stochastic ordinary differential equations, The Annals of Probability 6 (1978), 19-41.
    • (1978) The Annals of Probability , vol.6 , pp. 19-41
    • Sussmann, H.J.1
  • 17
    • 85033762420 scopus 로고
    • Temps d'explosion d'équations différentielles stochastiques du type doléans-dade
    • M. Thieullen, Temps d'explosion d'équations différentielles stochastiques du type Doléans-Dade, Ann. Inst. Henri Poincaré, Probabilités Et Statistiques 27 (1991), 549-557.
    • (1991) Ann. Inst. Henri Poincaré, Probabilités et Statistiques , vol.27 , pp. 549-557
    • Thieullen, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.