메뉴 건너뛰기




Volumn 8, Issue 2, 2009, Pages 624-640

The two-fold singularity of discontinuous vector fields

Author keywords

Discontinuous; Filippov; Nonsmooth; Singularity; Sliding

Indexed keywords

DISCONTINUOUS; FILIPPOV; NONSMOOTH; SINGULARITY; SLIDING;

EID: 66149089209     PISSN: None     EISSN: 15360040     Source Type: Journal    
DOI: 10.1137/08073113X     Document Type: Article
Times cited : (77)

References (16)
  • 1
    • 0041757877 scopus 로고    scopus 로고
    • Structural stability of piecewise smooth systems
    • M. E. BROUCKE, C. PUGH, AND S. SIMIC, Structural stability of piecewise smooth systems, Comput. Appl. Math., 20 (2001), pp. 51-90.
    • (2001) Comput. Appl. Math , vol.20 , pp. 51-90
    • BROUCKE, M.E.1    PUGH, C.2    SIMIC, S.3
  • 2
    • 29244452623 scopus 로고    scopus 로고
    • Piecewise-linear models of genetic regulatory networks: Equilibria and their stability
    • R. CASEY, H. DE JONG, AND J. L. GOUZE, Piecewise-linear models of genetic regulatory networks: Equilibria and their stability, J. Math. Biol., 52 (2006), pp. 27-56.
    • (2006) J. Math. Biol , vol.52 , pp. 27-56
    • CASEY, R.1    DE JONG, H.2    GOUZE, J.L.3
  • 11
    • 0001050846 scopus 로고
    • Border-collision bifurcations: An explanation for observed bifurcation phenomena
    • H. E. NUSSE, E. OTT, AND J. A. YORKE, Border-collision bifurcations: An explanation for observed bifurcation phenomena, Phys. Rev. E (3), 49 (1994), pp. 1073-1076.
    • (1994) Phys. Rev. E , vol.49 , Issue.3 , pp. 1073-1076
    • NUSSE, H.E.1    OTT, E.2    YORKE, J.A.3
  • 13
    • 0007400132 scopus 로고
    • Applications of Global Analysis I, Comm. Math. Inst. Rijksuniv. Utrecht 3, Math. Inst. Rijksuniv. Utrecht, Utrecht
    • F. TAKENS, Forced oscillations and bifurcations, in Applications of Global Analysis I, Comm. Math. Inst. Rijksuniv. Utrecht 3, Math. Inst. Rijksuniv. Utrecht, Utrecht, 1974, pp. 1-59.
    • (1974) Forced oscillations and bifurcations , pp. 1-59
    • TAKENS, F.1
  • 14
    • 0012385786 scopus 로고
    • On topological stability of divergent diagrams of folds
    • M. A. TEIXEIRA, On topological stability of divergent diagrams of folds, Math. Z., 180 (1982), pp. 361-371.
    • (1982) Math. Z , vol.180 , pp. 361-371
    • TEIXEIRA, M.A.1
  • 15
    • 38249016471 scopus 로고
    • Stability conditions for discontinuous vector fields
    • M. A. TEIXEIRA, Stability conditions for discontinuous vector fields, J. Differential Equations, 88 (1990), pp. 15-29.
    • (1990) J. Differential Equations , vol.88 , pp. 15-29
    • TEIXEIRA, M.A.1
  • 16
    • 38248999679 scopus 로고
    • Generic bifurcation of sliding vector fields
    • M. A. TEIXEIRA, Generic bifurcation of sliding vector fields, J. Math. Anal. Appl., 176 (1993), pp. 436-457
    • (1993) J. Math. Anal. Appl , vol.176 , pp. 436-457
    • TEIXEIRA, M.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.