17
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

THE METHOD OF CAUSAL RECURSION IN MATHEMATICAL DYNAMICS: THE INTERRUPTIONS OF FEIGENBAUM BIFURCATIONS OF VERHULSTIAN ECOSYSTEMS AND OTHER APPLICATIONS

Pages 229-255 | Received 11 Feb 1986, Accepted 11 Apr 1986, Published online: 19 Oct 2007

REFERENCES

  • R. H. Abraham and C. D. Shaw , Dynamics The Geometry of Behavior . Aerial Press , Santa Cruz , 1984 .
  • W. R. Ashby , An Introduction to Cybernetics . Chapman & Hall , London . 1970 .
  • W. R. Ashby , Design for a Brain. Chapman & Hall , London , 1972 .
  • A. Aulin , The Cybernetic Laws of Social Progress. Pergamon Press , Oxford , 1982 .
  • A. Aulin , “ Cybernetic causality A unitary theory of causal recursion in natural and social systems .” Mathematical Social Sciences . 10 ., No. 2 , 1985 , pp. 103 – 130 .
  • A. Aulin , “ Cybernetic causality II Causal recursion in goal-directed systems, with applications to evolution dynamics and economics .” Mathematical Social Sciences . 13 , No. 3 , 1986 , pp. 227 – 264 .
  • A. Aulin , “ Cybernetic causality 111 The qualitative theory or self-steering and social development .” Mathematical Social Sciences , 1987 ( forthcoming ).
  • N. P. Bhatia and G. P. Szcgö , Dynamical Systems Stability Theory and Applications . Springer-Verlag . Berlin , 1967 .
  • M. J. Feigenbaum , “ Quantitative universality for a class of nonlinear transformations .” J. Statistical Physics , 19 , No. 1 . 1978 , pp. 25 – 52 .
  • M. W. Hirsch and S. Smale , Differential Equations, Dynamical Systems, and Linear Algebra . Academic Press . Orlando . 1974 ,
  • G. looss , Bifurcation of Maps unit Applications . North-Holland , Amsterdam , 1979 .
  • V. V. Nemytskii and V. V. Stepanov , Qualitative Theory of Differential Equations. Princeton University Press , Princeton , 1972 .
  • G. Nicolis 1. Prigogine, Self-Organization in Non-equilibrium Systems . Wiley . New York . 1977 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.