Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (2): 167-173.

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RESEARCH ON THE COMPLICATED DYNAMICAL BEHAVIORS OF NONLINEAR ECOSYSTEMS (II)

Zan Ting-qual   

  1. Lanzhou University, Lanzhou
  • Received:1988-03-18 Online:1989-02-18 Published:1989-02-18
  • Supported by:

    Supported by the Youth Science Fundation of Chinese Academia Sinica;Youth Fundation of Lanzhou Unviersity

Abstract: 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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