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Volumn 18, Issue 4, 2007, Pages 657-675

Singular perturbations of finite dimensional gradient flows

Author keywords

Gradient flow; Heteroclinic solutions; Saddle node bifurcation; Singular perturbations

Indexed keywords


EID: 35248889454     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2007.18.657     Document Type: Article
Times cited : (21)

References (11)
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    • A vanishing viscosity approach to quasistatic evolution in plasticity with softening
    • To appear
    • G. Dal Maso, A. De Simone, M.G. Mora and M. Morini, A vanishing viscosity approach to quasistatic evolution in plasticity with softening, Arch. Rational Mech. Anal. To appear.
    • Arch. Rational Mech. Anal
    • Dal Maso, G.1    De Simone, A.2    Mora, M.G.3    Morini, M.4
  • 3
    • 33645145027 scopus 로고    scopus 로고
    • On the rate-independet limit of systems with dry friction and small viscosity
    • M.A. Efendiev and A. Mielke, On the rate-independet limit of systems with dry friction and small viscosity, J. Convex Anal., 13 (2006), 151-167.
    • (2006) J. Convex Anal , vol.13 , pp. 151-167
    • Efendiev, M.A.1    Mielke, A.2
  • 4
    • 0003478288 scopus 로고
    • Nonlinear Oscillations, Dynamical Systems and Bifurcations on Vector Fields
    • Springer-Verlag, New York
    • J. Guckenheimer and P. Holmes, "Nonlinear Oscillations, Dynamical Systems and Bifurcations on Vector Fields," Applied Mathematical Sciences, 42, Springer-Verlag, New York, 1983.
    • (1983) Applied Mathematical Sciences , vol.42
    • Guckenheimer, J.1    Holmes, P.2
  • 6
    • 0003275217 scopus 로고
    • Dynamics and Bifurcations
    • Springer-Verlag, New York
    • J. Hale and H. Koçak, "Dynamics and Bifurcations," Texts in Applied Mathematics, 3, Springer-Verlag, New York, 1991.
    • (1991) Texts in Applied Mathematics , vol.3
    • Hale, J.1    Koçak, H.2
  • 7
    • 0003643363 scopus 로고
    • Differential Equations: A Dynamical System approach. Higher-Dimensional Systems
    • Springer-Verlag, New York
    • J.H. Hubbard and B.H. West, "Differential Equations: A Dynamical System approach. Higher-Dimensional Systems," Texts in Applied Mathematics, 18, Springer-Verlag, New York, 1995.
    • (1995) Texts in Applied Mathematics , vol.18
    • Hubbard, J.H.1    West, B.H.2
  • 10
    • 85039126114 scopus 로고    scopus 로고
    • R. Toader and C. Zanini, An artificial viscosity approach to quasistatic crack growth, Preprint (see http://cvgmt.sns.it/cgi/get.cgi/ papers/toazan/Toa-Zan-reg.pdf).
    • R. Toader and C. Zanini, An artificial viscosity approach to quasistatic crack growth, Preprint (see http://cvgmt.sns.it/cgi/get.cgi/ papers/toazan/Toa-Zan-reg.pdf).
  • 11
    • 85039109147 scopus 로고    scopus 로고
    • A. Vanderbauwhede, Center manifolds, normal forms and elementary bifurcations, Dynamics Reported, 2, 89-169, Dynam. Report. Ser. Dynam. Systems Appl., 2, Wiley, Chichester, 1989.
    • A. Vanderbauwhede, Center manifolds, normal forms and elementary bifurcations, "Dynamics Reported," Vol. 2, 89-169, Dynam. Report. Ser. Dynam. Systems Appl., 2, Wiley, Chichester, 1989.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.