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Volumn 12, Issue 1, 2009, Pages 187-203

Lyapunov exponents and persistence in discrete dynamical systems

Author keywords

Lyapunov exponents; Persistence; Uniformly weak repeller

Indexed keywords


EID: 69249182349     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2009.12.187     Document Type: Article
Times cited : (25)

References (22)
  • 2
    • 6144229366 scopus 로고    scopus 로고
    • From attractor to chaotic saddle: A tale of transverse instability
    • P. Ashwin, J. Buescu and I. Stewart, From attractor to chaotic saddle: A tale of transverse instability, Nonlinearity, 9 (1996), 703-737.
    • (1996) Nonlinearity , vol.9 , pp. 703-737
    • Ashwin, P.1    Buescu, J.2    Stewart, I.3
  • 3
    • 8744230985 scopus 로고    scopus 로고
    • Population persistence and extinction in a discrete-time, stage-structured epidemic model
    • K. M. Emmert and L. J. S. Allen, Population persistence and extinction in a discrete-time, stage-structured epidemic model, J. Difference Equ. Appl., 10 (2004), 1177-1199.
    • (2004) J. Difference Equ. Appl , vol.10 , pp. 1177-1199
    • Emmert, K.M.1    Allen, L.J.S.2
  • 4
    • 0019430734 scopus 로고
    • Global stability of population models
    • P. Cull, Global stability of population models, B. Math. Biol., 43 (1981), 47-58.
    • (1981) B. Math. Biol , vol.43 , pp. 47-58
    • Cull, P.1
  • 5
    • 0141820163 scopus 로고    scopus 로고
    • Robust permanence for ecological differential equations, minimal, and discretizations
    • B. M. Garay and J. Hofbauer, Robust permanence for ecological differential equations, minimal, and discretizations, SIAM J. Math. Anal., 34 (2003), 1007-1039.
    • (2003) SIAM J. Math. Anal , vol.34 , pp. 1007-1039
    • Garay, B.M.1    Hofbauer, J.2
  • 6
    • 0002008380 scopus 로고    scopus 로고
    • M. W. Hirsch, H. L. Smith and X.-Q. Zhao, Chain transitivity, attractivity and strong repellors for semidynamical systems, J.Dynamics and Diff. Eqns., 13 (2001), 107-131.
    • M. W. Hirsch, H. L. Smith and X.-Q. Zhao, Chain transitivity, attractivity and strong repellors for semidynamical systems, J.Dynamics and Diff. Eqns., 13 (2001), 107-131.
  • 7
    • 0001439703 scopus 로고
    • A theorem on average Liapunov functions
    • V. Hutson, A theorem on average Liapunov functions, Monatsh. Math., 98 (1984), 267-275.
    • (1984) Monatsh. Math , vol.98 , pp. 267-275
    • Hutson, V.1
  • 8
    • 69249178958 scopus 로고    scopus 로고
    • Dynamics of a plant-herbivore model
    • Y. Kang, D. Armbruster, Y. Kuang, Dynamics of a plant-herbivore model, J. Biol. Dyn., 2 (2009), 89-101.
    • (2009) J. Biol. Dyn , vol.2 , pp. 89-101
    • Kang, Y.1    Armbruster, D.2    Kuang, Y.3
  • 10
    • 0035426229 scopus 로고    scopus 로고
    • Permanence of host-parasitoid systems
    • R. Kon and Y. Takeuchi, Permanence of host-parasitoid systems, Nonlinear Anal., 47 (2001), 1383-1393.
    • (2001) Nonlinear Anal , vol.47 , pp. 1383-1393
    • Kon, R.1    Takeuchi, Y.2
  • 11
    • 33144473617 scopus 로고    scopus 로고
    • Global attractors and steady states for uniformly persistent dynamical systems
    • P. Magal and X.-Q. Zhao, Global attractors and steady states for uniformly persistent dynamical systems, SIAM J. Math. Anal., 37 (2005), 251-275.
    • (2005) SIAM J. Math. Anal , vol.37 , pp. 251-275
    • Magal, P.1    Zhao, X.-Q.2
  • 12
    • 0027084786 scopus 로고
    • How should we define "fitness" for general ecological scenarios?
    • J. A. J. Metz, R. M. Nisbet and S. A. H. Geritz, How should we define "fitness" for general ecological scenarios?, Tree, 7 (1992), 198-202.
    • (1992) Tree , vol.7 , pp. 198-202
    • Metz, J.A.J.1    Nisbet, R.M.2    Geritz, S.A.H.3
  • 13
    • 67650698700 scopus 로고    scopus 로고
    • Fitness
    • J. A. J. Metz, Fitness, Evol. Ecol., 2 (2008), 1599-1612.
    • (2008) Evol. Ecol , vol.2 , pp. 1599-1612
    • Metz, J.A.J.1
  • 14
    • 4344592015 scopus 로고    scopus 로고
    • Uniform persistence for nonautonomous and random parabolic Kolmogorov systems
    • J. Mierczynski, W. Shen and X.-Q. Zhao, Uniform persistence for nonautonomous and random parabolic Kolmogorov systems, J. Differ. Equations, 204 (2004), 471-510.
    • (2004) J. Differ. Equations , vol.204 , pp. 471-510
    • Mierczynski, J.1    Shen, W.2    Zhao, X.-Q.3
  • 15
    • 0028608199 scopus 로고
    • Dynamics and evolution: Evolutionarily stable attractors, invasion exponents and phenotype dynamics
    • D. A. Rand, H. B. Wilson and J. M. McGlade, Dynamics and evolution: Evolutionarily stable attractors, invasion exponents and phenotype dynamics, Philosophical Transactions: Biological Sciences, 343 (1994), 261-283.
    • (1994) Philosophical Transactions: Biological Sciences , vol.343 , pp. 261-283
    • Rand, D.A.1    Wilson, H.B.2    McGlade, J.M.3
  • 16
    • 69249169800 scopus 로고    scopus 로고
    • Persistence in a discrete-time, stage-structured epidemic model
    • to appear
    • P. L. Salceanu and H. L. Smith, Persistence in a discrete-time, stage-structured epidemic model, J. Difference Equ. Appl., to appear.
    • J. Difference Equ. Appl
    • Salceanu, P.L.1    Smith, H.L.2
  • 17
    • 69249184185 scopus 로고    scopus 로고
    • Persistence in a discrete-time stage-structured fungal disease model
    • P. L. Salceanu and H. L. Smith, Persistence in a discrete-time stage-structured fungal disease model, J. Biol. Dyn., 3 (2009), 271-285.
    • (2009) J. Biol. Dyn , vol.3 , pp. 271-285
    • Salceanu, P.L.1    Smith, H.L.2
  • 20
    • 0035415180 scopus 로고    scopus 로고
    • Robust persistence for semidynamical systems
    • H. L. Smith and X.-Q. Zhao, Robust persistence for semidynamical systems, Nonlinear Anal., 47 (2001), 6169-6179.
    • (2001) Nonlinear Anal , vol.47 , pp. 6169-6179
    • Smith, H.L.1    Zhao, X.-Q.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.