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Volumn 15, Issue 5, 2008, Pages 851-869

Sliding vector fields via slow-fast systems

Author keywords

Discontinuous vector fields; Regularization; Singular perturbation; Sliding vector fields; Vector fields

Indexed keywords


EID: 58249118941     PISSN: 13701444     EISSN: None     Source Type: Journal    
DOI: 10.36045/bbms/1228486412     Document Type: Article
Times cited : (48)

References (14)
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    • Buzzi, C.1    Silva, P.R.2    Teixeira, M.A.3
  • 3
    • 34250627892 scopus 로고
    • Geometric singular perturbation theory for ordinary differential equations
    • Fenichel, N. (1979). Geometric singular perturbation theory for ordinary differential equations, J. Diff. Equations 31, 53-98.
    • (1979) J. Diff. Equations , vol.31 , pp. 53-98
    • Fenichel, N.1
  • 4
    • 0003608430 scopus 로고
    • Differential Equations with Discontinuous Right-hand Sides, Mathematics and its Applications
    • Kluwer Academic Publishers, Dordrecht
    • Filippov, A. F. (1988). Differential Equations with Discontinuous Right-hand Sides, Mathematics and its Applications (Soviet Series), Kluwer Academic Publishers, Dordrecht.
    • (1988) Soviet Series
    • Filippov, A.F.1
  • 5
    • 58249118927 scopus 로고    scopus 로고
    • Jones, C.(1995) Geometrie Singular Perturbation Theory, C.I.M.E. Lectures, Montecatini Terme, June 1994, Lecture Notes in Mathematics 1609, Springer-Verlag, Heidelberg.
    • Jones, C.(1995) Geometrie Singular Perturbation Theory, C.I.M.E. Lectures, Montecatini Terme, June 1994, Lecture Notes in Mathematics 1609, Springer-Verlag, Heidelberg.
  • 6
    • 0036052772 scopus 로고    scopus 로고
    • Extending geometric singular perturbation theory to nonhyperbolic points: Fold and canard points in two dimensions
    • Krupa, M. and Szmolyan, P. (2001). Extending geometric singular perturbation theory to nonhyperbolic points: fold and canard points in two dimensions, SIAM J.Math. Anal. 33, 2, 286-314.
    • (2001) SIAM J.Math. Anal , vol.33 , Issue.2 , pp. 286-314
    • Krupa, M.1    Szmolyan, P.2
  • 7
    • 34249880482 scopus 로고    scopus 로고
    • Regularization of Discontinuous Vector Fields via Singular Perturbation
    • Llibre, J., Silva, P.R. and Teixeira, M.A. (2006). Regularization of Discontinuous Vector Fields via Singular Perturbation, J. Dynam. Differential Equation.19, n2, 309-331.
    • (2006) J. Dynam. Differential Equation , vol.19 , Issue.N2 , pp. 309-331
    • Llibre, J.1    Silva, P.R.2    Teixeira, M.A.3
  • 8
    • 0031499326 scopus 로고    scopus 로고
    • Regularization of Discontinuous Vector Fields in Dimension Three
    • Llibre, J., and Teixeira, M.A. (1997). Regularization of Discontinuous Vector Fields in Dimension Three, Discrete Contin. Dynam. Systems 3, 235-241.
    • (1997) Discrete Contin. Dynam. Systems , vol.3 , pp. 235-241
    • Llibre, J.1    Teixeira, M.A.2
  • 10
    • 0007136848 scopus 로고
    • Vector Fields Near the Boundary of a 3-Manifold
    • Springer-Verlag
    • Sotomayor, J., and Teixeira, M.A. (1988). Vector Fields Near the Boundary of a 3-Manifold, Lecture Notes in Mathematics 1331, Springer-Verlag, 169-195.
    • (1988) Lecture Notes in Mathematics , vol.1331 , pp. 169-195
    • Sotomayor, J.1    Teixeira, M.A.2
  • 11
    • 18144407816 scopus 로고
    • Generic Singularities of Discontinuous Vector Fields
    • Teixeira, M.A. (1991). Generic Singularities of Discontinuous Vector Fields, An. Ac. Bras. Cienc 53, 257-260.
    • (1991) An. Ac. Bras. Cienc , vol.53 , pp. 257-260
    • Teixeira, M.A.1
  • 12
    • 38249016471 scopus 로고
    • Stability Conditions for Discontinuous Vector Fields
    • Teixeira, M.A. (1990). Stability Conditions for Discontinuous Vector Fields, J. Diff. Equations 88, 15-24.
    • (1990) J. Diff. Equations , vol.88 , pp. 15-24
    • Teixeira, M.A.1
  • 13
  • 14
    • 58249121832 scopus 로고
    • Local and Simultaneous Structural stability of Certain Diffeomorphisms
    • Springer-Verlag
    • Teixeira, M.A. (1982). Local and Simultaneous Structural stability of Certain Diffeomorphisms, Lecture Notes in Mathematics 898, Springer-Verlag, 361-371.
    • (1982) Lecture Notes in Mathematics , vol.898 , pp. 361-371
    • Teixeira, M.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.