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Volumn 58, Issue 1, 2005, Pages 30-84

A boundary layer theory for diffusively perturbed transport around a heteroclinic cycle

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EID: 10344239967     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/cpa.20048     Document Type: Article
Times cited : (7)

References (10)
  • 1
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    • Springer, New York
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    • Arnol'd, V.I.1
  • 2
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    • An introduction to differentiable manifolds and riemannian geometry. 2nd ed
    • Academic, Orlando, Fla.
    • Boothby, W. M. An introduction to differentiable manifolds and Riemannian geometry. 2nd ed. Pure and Applied Mathematics, 120. Academic, Orlando, Fla., 1986.
    • (1986) Pure and Applied Mathematics , vol.120
    • Boothby, W.M.1
  • 4
    • 0032362579 scopus 로고    scopus 로고
    • Random perturbations of nonlinear oscillators
    • Freidlin, M.; Weber, M. Random perturbations of nonlinear oscillators. Ann. Probab. 26 (1998), no. 3, 925-967.
    • (1998) Ann. Probab. , vol.26 , Issue.3 , pp. 925-967
    • Freidlin, M.1    Weber, M.2
  • 5
    • 0033249370 scopus 로고    scopus 로고
    • A remark on random perturbations of the nonlinear pendulum
    • Freidlin, M.; Weber, M. A remark on random perturbations of the nonlinear pendulum. Ann. Appl. Probab. 9 (1999), no. 3, 611-628.
    • (1999) Ann. Appl. Probab. , vol.9 , Issue.3 , pp. 611-628
    • Freidlin, M.1    Weber, M.2
  • 6
    • 0003254803 scopus 로고
    • Random perturbations of Hamiltonian systems
    • Freidlin, M. I.; Wentzell, A. D. Random perturbations of Hamiltonian systems. Mem. Amer. Math. Soc. 109 (1994), no. 523.
    • (1994) Mem. Amer. Math. Soc. , vol.109 , Issue.523
    • Freidlin, M.I.1    Wentzell, A.D.2
  • 7
    • 0005422548 scopus 로고
    • Probability phenomena due to separatrix crossing
    • Neǐshtadt, A. I. Probability phenomena due to separatrix crossing. Chaos 1 (1991), no. 1, 42-48.
    • (1991) Chaos , vol.1 , Issue.1 , pp. 42-48
    • Neǐshtadt, A.I.1
  • 9
    • 10344258857 scopus 로고    scopus 로고
    • Stochastic averaging near a homoclinic orbit with multiplicative noise
    • Sowers, R. B. Stochastic averaging near a homoclinic orbit with multiplicative noise. Stoch. Dyn. 3 (2003), no. 3, 299-391.
    • (2003) Stoch. Dyn. , vol.3 , Issue.3 , pp. 299-391
    • Sowers, R.B.1
  • 10
    • 10344261772 scopus 로고    scopus 로고
    • Stochastic averaging near homoclinic orbits via singular perturbations: A proof of a result by Freidlin and Weber using ideas of Khasminskii
    • N. S. Namachchivaya and Y. K. Lin, eds. Kluwer, Boston
    • Sowers, R. B. Stochastic averaging near homoclinic orbits via singular perturbations: a proof of a result by Freidlin and Weber using ideas of Khasminskii. IUTAM Symposium on Nonlinear Stochastic Dynamics, 83-95. N. S. Namachchivaya and Y. K. Lin, eds. Kluwer, Boston, 2003.
    • (2003) IUTAM Symposium on Nonlinear Stochastic Dynamics , vol.83-95
    • Sowers, R.B.1


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