Zan Ting-quan. Research on the Complicated Dynamical Behaviors of Nonlinear Ecosystems(Ⅱ)[J]. Applied Mathematics and Mechanics, 1989, 10(2): 161-166.
Citation: Zan Ting-quan. Research on the Complicated Dynamical Behaviors of Nonlinear Ecosystems(Ⅱ)[J]. Applied Mathematics and Mechanics, 1989, 10(2): 161-166.

Research on the Complicated Dynamical Behaviors of Nonlinear Ecosystems(Ⅱ)

  • Received Date: 1988-05-18
  • Publish Date: 1989-02-15
  • This paper is a further study of reference [1]. In this paper, we mainly discuss the complicated dynamical behaviors resulting from a simple one-dimensional model of nonlinear ecosystems: fixed point motion, periodic motion and chaotic motion etc., and briefly discuss the universality of the complicated dynamical behaviors, which can be described by the first and the second M. Feigenbaun constants. At last, we discuss the "one-side lowering phenomenon" due to near unstabilization when the nonlinear ecosystem approaches bifurcation points from unbifurcation side. It is of important theoretical and practical meanings both in the development and utilization of ecological resources ar.d in the design and management of artifilial ecosystems.
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  • [1]
    昝廷全,非线性生态系统的复杂动力学行为研究(I),应用数学和力学,9,10 (1988),925-931
    [2]
    May,M.,Theoretical Ecology Blackwell Scientific Publishers(1981).23-37.
    [3]
    Haken,H.,Synergetics:An Introduction,Springer(1977),59-173.
    [4]
    昝廷全等,泛系生态来类生克分析,科学探索,3(1988), 47-48.
    [5]
    昝廷全、赵松岭,途态系统的热力学理论,《首届全国熵与交叉科学学术会议论文集》,气象出版社(待出版).
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