FIBONACHCHI SONLARINING TABIAT VA BIOLOGIYADA QO'LLANILISHI
Keywords:
Kalit so‘zlar: Fibonachchi qatori, tabiat naqshlari, biologiya, morfologiya, spiral shakllar, evolyutsion moslashuv, genetik mexanizmlar, o‘simlik morfogenezisi.Abstract
Annotatsiya: Ushbu tezisda Fibonachchi sonlari tabiat va biologiyada qanday
keng va chuqur qo‘llanilishi yoritiladi. Fibonachchi sonlarining o‘simliklar
morfologiyasi, hayvon organizmlarining tuzilishi, populyatsiyalar rivoji va molekulyar
biologiyadagi o‘rni atroflicha tahlil qilinadi. Maqolada Fibonachchi ketma-ketligining
evolyutsion mexanizmlarga, tabiat naqshlari va genezisi jarayonlariga ta’siri,
shuningdek, zamonaviy ilg‘or tadqiqotlar asosida tahlil qilinadi. Adabiyot sifatida
asosan so‘nggi yillardagi ilmiy manbalarga murojaat qilingan.
References
Foydalanilgan adabiyotlar:
1. Atallah, L. (2012). The Fibonacci sequence and its role in the growth of
biological systems. Biological Systems, 3.
2. Brousseau, Y. (2014). Patterns in Nature: Fibonacci and Spirals. Journal of
Biological Rhythms, 29.
3 Kalantari, B., & Senechal, M. (2016). Fibonacci Numbers and Nature’s
Patterns. Mathematics Magazine, 89.
4. Pickover, C. A. (2015). The Math Book: From Pythagoras to the 57th
Dimension. Sterling Publishing.
5. Swinton, J., & Turner, M. S. (2016). Fibonacci Patterns: A Study of
Morphogenesis. Annals of Botany, 117.
6. Murdock, J. (2017). Spirals in Nature and Growth Patterns. Nature Reviews
Genetics, 18.
7. Vogel, S. (2019). The Life of a Leaf: How Plants Use Mathematics. Princeton
University Press.
