Warianty tytułu
Języki publikacji
Abstrakty
The self-similarity of a quadratic, one parameter logistic map was shown. Depending on the value of a constant, four different patterns were obtained and analysed. Only for the chaotic region (R = 4) the obtained patterns were almost independent of the resolution used (the frequency of probing). Some of the analytical operations used as standard tools in investigating the maps properties were also analysed and suitably altered, where necessary.
Słowa kluczowe
Wydawca
Czasopismo
Rocznik
Tom
Numer
Opis fizyczny
p.449-466,fig.
Twórcy
autor
- Silesian Technical University, 44-100 Gliwice, Strzody 9, Poland
autor
autor
Bibliografia
- 1. Edelstein-Keshet L. Mathematical models in biology, New York, Random House (1988)
- 2. Grossman S. I. & Turner J. E. Mathematics for the biological sciences, Macmillan Publishing Co. Inc. (1974)
- 3. Vetterling W. T., Teukolsky S. A., Press W. H., Flannery B. P. Numerical recipes, Cambridge University Press (1994).
- 4. Grzywna Z. J. & Siwy Z. Int. J. Bif. and Chaos. 7, 5 1115-1123 (1997)
- 5. Beltrami E. Mathematics for dynamic modelling, Academic Press Inc. (1987)
- 6. Schroeder M. Fractals, chaos, power laws, W. H. Freeman and Company (1991)
- 7. Schuster H. G. Deterministic chaos, Weinheim, VCH Verlagsgesellschaft mbH Publ. (1988).
- 8. Liebovitch L. S., J. Fischborg J., Koniarek J. P. Math.Biosci. 84, 37-68 (1987)
- 9. Liebovitch L. S., Toth T. I. Ann.Biomed.Engr. 18, 177-194 (1990).
- 10. Fuliński A. Grzywna Z. J., Mellor I., Siwy Z. Usherwood P. N. R. On non-Markovian character of ionic current fluctuations in membrane channels (submitted).
- 11. Boyce W. E. & DiPrima R. C. Elementary differential equations and boundary value problems, New York, Wiley&Sons (1977)
- 12. Segel L. A. Mathematical models in molecular and cellular biology, Cambridge Univ. Press (1980).
- 13. Murray J. D. Mathematical biology, Berlin Heidelberg New York, Springer-Verlag (1990)
- 14. Voss R., Peitgen H.-O. & Saupe D. ed. The Science of fractal images, New York, Springer-Verlag (1988).
- 15. Peitgen H.-O. & Jurgens H. Saupe D. Introduction to fractals and chaos, New York, Springer-Verlag (1992)
- 16. Grzywna Z. J., Siwy Z., Bashford C. L. J.Membr.Sci. 121, 2, 261-269 (1996)
- 17. Grzywna Z. J., Siwy Z., Bashford C. L. CMBL 1, 291-301 (1996).
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
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