Periodic orbits in periodic discrete dynamics
نویسنده
چکیده
5 We study the combinatorial structure of periodic orbits of nonautonomous difference 6 equations xn+1 = fn(xn) in a periodically fluctuating environment. We define the 7 Γ-set to be the set of minimal periods that are not multiples of the phase period. We 8 show that when the functions fn are rational functions, the Γ-set is a finite set. In 9 particular, we investigate several mathematical models of single-species without age 10 structure and find that periodic oscillations are influenced by periodic environments 11 to the extent that almost all periods are divisors or multiples of the phase period. 12
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عنوان ژورنال:
- Computers & Mathematics with Applications
دوره 56 شماره
صفحات -
تاریخ انتشار 2008