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Saha, L. M., Prasad, S., Erjaee, G. H.. (1393). Interesting dynamic behavior in some discrete maps. , 36(Issue 3.1), 383-389. doi: 10.22099/ijsts.2014.2091
L. M. Saha; S. Prasad; G. H. Erjaee. "Interesting dynamic behavior in some discrete maps". , 36, Issue 3.1, 1393, 383-389. doi: 10.22099/ijsts.2014.2091
Saha, L. M., Prasad, S., Erjaee, G. H.. (1393). 'Interesting dynamic behavior in some discrete maps', , 36(Issue 3.1), pp. 383-389. doi: 10.22099/ijsts.2014.2091
Saha, L. M., Prasad, S., Erjaee, G. H.. Interesting dynamic behavior in some discrete maps. , 1393; 36(Issue 3.1): 383-389. doi: 10.22099/ijsts.2014.2091

Interesting dynamic behavior in some discrete maps

Iranian Journal of Science
مقاله 9، دوره 36، Issue 3.1، آذر 2012، صفحه 383-389    اصل مقاله (202.15 K)
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2014.2091
نویسندگان
L. M. Saha* 1؛ S. Prasad2؛ G. H. Erjaee3
1Mathematical Sciences Foundation, N-91, Greater Kailash I, New Delhi, India
2Department of Mathematics, University of Delhi, Delhi-110007, India
3Mathematics Department, Shiraz University, Shiraz, Iran
چکیده
Different discrete models of population dynamics of certain insects have been investigated under various feasible conditions within the framework of nonlinear dynamics. Evolutionary phenomena are discussed through bifurcation analysis leading to chaos. Some tools of nonlinear dynamics, such as Lyapunov characteristic exponents (LCE), Lyapunov numbers, correlation dimension, etc. are calculated for numerical studies and to characterize regular and chaotic behavior. These results are produced through various graphics. Chaotic evolutions of such insect population have been discussed as the parameters attain certain set of critical values. The results obtained are informative and very significant. The correlation dimension for evolution of insect population signifies certain fractal structure.
کلیدواژه‌ها
Bifurcation؛ Lyapunov exponent؛ periodic attractor؛ correlation dimension
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