메뉴 건너뛰기




Volumn 199, Issue 2, 1996, Pages 374-390

Dulac criteria for autonomous systems having an invariant affine manifold

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030584879     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0147     Document Type: Article
Times cited : (21)

References (21)
  • 1
    • 0023998825 scopus 로고
    • The population dynamics of two vertically transmitted infections
    • 1. S. Busenberg and K. L. Cooke, The population dynamics of two vertically transmitted infections, Theoret. Population Biol. 33 (1988), 181-198.
    • (1988) Theoret. Population Biol. , vol.33 , pp. 181-198
    • Busenberg, S.1    Cooke, K.L.2
  • 2
    • 0001436854 scopus 로고
    • A method for proving the nonexistence of limit cycles
    • 2. S. Busenberg and P. van den Driessche, A method for proving the nonexistence of limit cycles, J. Math. Anal. Appl. 172 (1993), 463-479.
    • (1993) J. Math. Anal. Appl. , vol.172 , pp. 463-479
    • Busenberg, S.1    Van Den Driessche, P.2
  • 3
    • 0025112636 scopus 로고
    • Analysis of a disease transmission model in a population with varying size
    • 3. S. Busenberg and P. van den Driessche, Analysis of a disease transmission model in a population with varying size, J. Math. Biol. 28 (1990), 257-271.
    • (1990) J. Math. Biol. , vol.28 , pp. 257-271
    • Busenberg, S.1    Van Den Driessche, P.2
  • 4
    • 0025402761 scopus 로고
    • Limiting the complexity of limit sets in self-regulating systems
    • 4. G. J. Butler, R. Schimid, and P. Waltman, Limiting the complexity of limit sets in self-regulating systems, J. Math. Anal. Appl. 147 (1990), 63-68.
    • (1990) J. Math. Anal. Appl. , vol.147 , pp. 63-68
    • Butler, G.J.1    Schimid, R.2    Waltman, P.3
  • 5
    • 84968505772 scopus 로고
    • Persistence in dynamical systems
    • 5. G. J. Butler and P. Waltman, Persistence in dynamical systems, Proc. Amer. Math. Soc. 96 (1986), 425-430.
    • (1986) Proc. Amer. Math. Soc. , vol.96 , pp. 425-430
    • Butler, G.J.1    Waltman, P.2
  • 7
    • 84981866914 scopus 로고
    • Eine verallgemeinerung des kriteriums von bendixson
    • 7. W. B. Demidowitsch, Eine Verallgemeinerung des Kriteriums von Bendixson, Z. Angew. Math. Mech. 46 (1966), 145-146.
    • (1966) Z. Angew. Math. Mech. , vol.46 , pp. 145-146
    • Demidowitsch, W.B.1
  • 9
    • 0003285244 scopus 로고
    • Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
    • Springer-Verlag, New York
    • 9. J. Guckenheimer and P. Holmes, "Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields," Appl. Math. Sci., Vol. 42, Springer-Verlag, New York, 1983.
    • (1983) Appl. Math. Sci. , vol.42
    • Guckenheimer, J.1    Holmes, P.2
  • 11
    • 0000373191 scopus 로고
    • A general cooperation theorem for hypercycles
    • 11. J. Hofbauer, A general cooperation theorem for hypercycles, Mh. Math 91 (1981), 233-240.
    • (1981) Mh. Math , vol.91 , pp. 233-240
    • Hofbauer, J.1
  • 12
    • 0000594605 scopus 로고
    • Bendixson's criterion for autonomous systems with an invariant linear subspace
    • 12. M. Y. Li, Bendixson's criterion for autonomous systems with an invariant linear subspace, Rocky Mountain J. Math. 25 (1995), 351-363.
    • (1995) Rocky Mountain J. Math. , vol.25 , pp. 351-363
    • Li, M.Y.1
  • 15
    • 0000147071 scopus 로고
    • On R. A. Smith's autonomous convergence theorem
    • 15. M. Y. Li and J. S. Muldowney, On R. A. Smith's autonomous convergence theorem, Rocky Mountain J. Math. 25 (1995), 365-379.
    • (1995) Rocky Mountain J. Math. , vol.25 , pp. 365-379
    • Li, M.Y.1    Muldowney, J.S.2
  • 17
    • 0011409551 scopus 로고
    • On derivations arising in differential equations
    • 17. D. London, On derivations arising in differential equations, Linear and Multilinear Algebra 4 (1976), 179-189.
    • (1976) Linear and Multilinear Algebra , vol.4 , pp. 179-189
    • London, D.1
  • 18
    • 0026491804 scopus 로고
    • Dynamic models of infectious diseases as regulators of population size
    • 18. J. Mena-Lorca and H. W. Hethcote, Dynamic models of infectious diseases as regulators of population size, J. Math. Biol. 30 (1992), 693-716.
    • (1992) J. Math. Biol. , vol.30 , pp. 693-716
    • Mena-Lorca, J.1    Hethcote, H.W.2
  • 19
    • 84880990802 scopus 로고
    • Compound matrices and ordinary differential equations
    • 19. J. S. Muldowney, 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
  • 20
    • 0001703398 scopus 로고
    • The closing lemma
    • 20. C. C. Pugh, The closing lemma, Amer. J. Math. 89 (1967), 856-1009.
    • (1967) Amer. J. Math. , vol.89 , pp. 856-1009
    • Pugh, C.C.1
  • 21
    • 84971128384 scopus 로고
    • Some applications of Hausdorff dimension inequality for ordinary differential equations
    • 21. R. A. Smith, Some applications of Hausdorff dimension inequality for ordinary differential equations, Proc. Roy. Soc. Edinburgh Sect. A 104 (1986), 235-259.
    • (1986) Proc. Roy. Soc. Edinburgh Sect. A , vol.104 , pp. 235-259
    • Smith, R.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.