메뉴 건너뛰기




Volumn 186, Issue 2, 2002, Pages 611-632

Uniqueness and attractivity of the carrying simplex for discrete-time competitive dynamical systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0037059089     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0396(02)00025-6     Document Type: Article
Times cited : (55)

References (14)
  • 1
    • 0003804171 scopus 로고
    • Stability and Asymptotic Behavior of Ordinary Differential Equations
    • D. C. Health, Boston
    • W.A. Coppel, Stability and Asymptotic Behavior of Ordinary Differential Equations, D. C. Health, Boston, 1965.
    • (1965)
    • Coppel, W.A.1
  • 2
    • 21144459956 scopus 로고
    • Boundedness of prime periods of stable cycles and convergence to fixed point in discrete monotone dynamical systems
    • P. Hess, P. Poláčik, Boundedness of prime periods of stable cycles and convergence to fixed point in discrete monotone dynamical systems, SIAM J. Math. Anal. 24 (1993) 1312-1330.
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 1312-1330
    • Hess, P.1    Poláčik, P.2
  • 3
    • 84956106116 scopus 로고
    • Systems of differential equations which are competitive or cooperative: III. Competing species
    • M.W. Hirsch, Systems of differential equations which are competitive or cooperative: III. Competing species, Nonlinearity 1 (1988) 51-71.
    • (1988) Nonlinearity , vol.1 , pp. 51-71
    • Hirsch, M.W.1
  • 4
    • 0000317364 scopus 로고    scopus 로고
    • Chain transitive sets for smooth strongly monotone dynamical systems, Dynamics of Discrete
    • M.W. Hirsch, Chain transitive sets for smooth strongly monotone dynamical systems, Dynamics of Discrete, Continuous Impulsive Systems 5 (1999) 529-543.
    • (1999) Continuous Impulsive Systems , vol.5 , pp. 529-543
    • Hirsch, M.W.1
  • 5
    • 34249916235 scopus 로고
    • Convergence to cycles as a typical asymptotic behavior in smoothly monotone discrete-time dynamical systems
    • P. Poláčik, I. Tereščák, Convergence to cycles as a typical asymptotic behavior in smoothly monotone discrete-time dynamical systems, Arch. Rat. Mech. Anal. 116 (1991) 339-360.
    • (1991) Arch. Rat. Mech. Anal. , vol.116 , pp. 339-360
    • Poláčik, P.1    Tereščák, I.2
  • 6
    • 38249038749 scopus 로고
    • Periodic competitive differential equations and the discrete dynamics of competitive maps
    • H.L. Smith, Periodic competitive differential equations and the discrete dynamics of competitive maps, J. Differential Equations 64 (1986) 165-194.
    • (1986) J. Differential Equations , vol.64 , pp. 165-194
    • Smith, H.L.1
  • 7
    • 4243550804 scopus 로고
    • Domains of attraction of generic ω-limit sets for strongly monotone discretetime semigroups
    • P. Takáč, Domains of attraction of generic ω-limit sets for strongly monotone discretetime semigroups, J. Reine Angew. Math. 423 (1992) 101-173.
    • (1992) J. Reine Angew. Math. , vol.423 , pp. 101-173
    • Takáč, P.1
  • 8
    • 0025425054 scopus 로고
    • Convergence to equilibrium on invariant d-hypersurfaces for strongly increasing discrete-time semigroups
    • P. Takáč Convergence to equilibrium on invariant d-hypersurfaces for strongly increasing discrete-time semigroups, J. Math. Anal. Appl. 148 (1990) 223-244.
    • (1990) J. Math. Anal. Appl. , vol.148 , pp. 223-244
    • Takáč, P.1
  • 9
    • 0003479527 scopus 로고    scopus 로고
    • 1 smooth strongly monotone discrete-time dynamical systems
    • preprint
    • 1 smooth strongly monotone discrete-time dynamical systems, preprint, 1996.
    • (1996)
    • Tereščák, I.1
  • 10
    • 0035506703 scopus 로고    scopus 로고
    • The general properties of discrete-time competitive dynamical systems
    • Y. Wang, J. Jiang, The general properties of discrete-time competitive dynamical systems, J. Differential Equations 176 (2001) 470-493.
    • (2001) J. Differential Equations , vol.176 , pp. 470-493
    • Wang, Y.1    Jiang, J.2
  • 11
    • 0012114314 scopus 로고    scopus 로고
    • The long-run behavior of periodic competitive Kolmogorov systems
    • in press
    • Y. Wang, J. Jiang, The long-run behavior of periodic competitive Kolmogorov systems, Nonlinear Anal., in press.
    • Nonlinear Anal.
    • Wang, Y.1    Jiang, J.2
  • 12
    • 0032017574 scopus 로고    scopus 로고
    • An exclusion principle for periodic competitive systems in three dimension
    • R. Ortega, A. Tineo, An exclusion principle for periodic competitive systems in three dimension, Nonlinear Anal. T.M.A. 31 (1998) 883-893.
    • (1998) Nonlinear Anal. T.M.A. , vol.31 , pp. 883-893
    • Ortega, R.1    Tineo, A.2
  • 13
    • 0036722198 scopus 로고    scopus 로고
    • On the topological entropy, nonwandering set and chaos of monotone and competitive systems
    • X. Liang, J. Jiang, On the topological entropy, nonwandering set and chaos of monotone and competitive systems, Chaos, Solitons, Fractals 14 (2002) 689-696.
    • (2002) Chaos, Solitons, Fractals , vol.14 , pp. 689-696
    • Liang, X.1    Jiang, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.