Skip to main content
SpringerLink
Log in

Research on the complicated dynamical behaviors of nonlinear ecosystems (II)

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

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 and in the design and management of artifitial ecosystems.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Zan Ting-quan, Research on the complicated dynamical behaviors of nonlinear ecosystems (I),Applied Mathematics and Mechanics,9, 10 (1988) 985–992.

    Article  Google Scholar 

  2. May, M.,Theoretical Ecology, Blackwell Scientific Publishers (1981), 23–37.

  3. Haken, H.,Synergetics: An Introduction, Springer (1977), 59–173.

  4. Zan Ting-quan et al., Pansystems ecological clustering analysis,Science Exploration,3 (1986), 47–48. (in Chinese)

    Google Scholar 

  5. Zan Ting-quan and Zhao Song-ling, Thermodynamic theory of ecosystems,Proceedings of the First National Conference on Entropy and Interdisciplines. Meteorological Press. (in Press)

Download references

Author information

Authors and Affiliations

  1. Lanzhou University, Lanzhou

    Zan Ting-qual

Authors
  1. Zan Ting-qual
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by Wu Xue-mou

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

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ting-qual, Z. Research on the complicated dynamical behaviors of nonlinear ecosystems (II). Appl Math Mech 10, 167–173 (1989). https://doi.org/10.1007/BF02014824

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02014824

Keywords

Search

Navigation