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Volumn 174, Issue 2, 2001, Pages 392-419

Criteria on the nonexistence of invariant lipschitz submanifolds for dynamical systems

Author keywords

Averagings; Discretizations; Flows; Invariant submanifolds; Smooth mappings; Stokes' theorem

Indexed keywords


EID: 0035839417     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.2000.3943     Document Type: Article
Times cited : (6)

References (21)
  • 1
    • 0001787356 scopus 로고
    • Sur les curbes définiés par des équations différentielles
    • Bendixson I. Sur les curbes définiés par des équations différentielles. Acta Math. 24:1901;1-88.
    • (1901) Acta Math. , vol.24 , pp. 1-88
    • Bendixson, I.1
  • 3
    • 0025402761 scopus 로고
    • Limiting the complexity of limit sets in selfregulating systems
    • Butler G., Schmid R., Waltman P. Limiting the complexity of limit sets in selfregulating systems. J. Math. Anal. Appl. 147:1990;63-68.
    • (1990) J. Math. Anal. Appl. , vol.147 , pp. 63-68
    • Butler, G.1    Schmid, R.2    Waltman, P.3
  • 5
    • 0001541813 scopus 로고
    • Recherche des cycles limites
    • Dulac H. Recherche des cycles limites. C. R. Acad. Sci. Paris. 204:1937;1703-1706.
    • (1937) C. R. Acad. Sci. Paris , vol.204 , pp. 1703-1706
    • Dulac, H.1
  • 6
    • 0003218768 scopus 로고
    • Degree Theory in Analysis and Applications
    • Oxford: Clarendon Press
    • Fonseca I., Gangbo W. Degree Theory in Analysis and Applications. Oxford Lecture Ser. Math. Appl. 2:1995;Clarendon Press, Oxford.
    • (1995) Oxford Lecture Ser. Math. Appl. , vol.2
    • Fonseca, I.1    Gangbo, W.2
  • 7
    • 0001196371 scopus 로고    scopus 로고
    • On structual stability of ordinary differential equations with respect to discretization
    • Garay B. M. On structual stability of ordinary differential equations with respect to discretization. Numer. Math. 72:1996;449-479.
    • (1996) Numer. Math. , vol.72 , pp. 449-479
    • Garay B., M.1
  • 13
    • 0007152792 scopus 로고    scopus 로고
    • Dynamics of differential equations on invariant manifolds
    • in press.
    • M. Y. Li, and, J. S. Muldowney, Dynamics of differential equations on invariant manifolds, J. Differential Equations, in press.
    • J. Differential Equations
    • Li M., Y.1    Muldowney J., S.2
  • 15
    • 84880990802 scopus 로고
    • Compound matrices and ordinary differential equations
    • Muldowney J. S. Compound matrices and ordinary differential equations. Rocky Mountain J. Math. 20:1990;857-872.
    • (1990) Rocky Mountain J. Math. , vol.20 , pp. 857-872
    • Muldowney J., S.1
  • 18
    • 84971146010 scopus 로고
    • An index theorem and Bendixson's negative criterion for certain differential equations of higher dimension
    • Smith R. A. An index theorem and Bendixson's negative criterion for certain differential equations of higher dimension. Proc. Roy. Soc. Edinburgh Sect. A. 91:1981;63-77.
    • (1981) Proc. Roy. Soc. Edinburgh Sect. A , vol.91 , pp. 63-77
    • Smith R., A.1
  • 19
    • 84971128384 scopus 로고
    • Some applications of Hausdorff dimension inequalities for ordinary differential equations
    • Smith R. A. Some applications of Hausdorff dimension inequalities for ordinary differential equations. Proc. Royal Soc. Edinburgh Sect. A. 104:1986;235-259.
    • (1986) Proc. Royal Soc. Edinburgh Sect. A , vol.104 , pp. 235-259
    • Smith R., A.1
  • 21
    • 0000033418 scopus 로고
    • Determination of the cobordism ring
    • Wall C. T. C. Determination of the cobordism ring. Ann. Math. 72:1960;292-311.
    • (1960) Ann. Math. , vol.72 , pp. 292-311
    • Wall C. T., C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.