Long food chains are in general chaotic
Long food chains are in general chaotic
复制标题
DOI：
10.1111/j.0030-1299.2005.13573.x
复制
发表时间：
2005-04-01
期刊：
影响因子：
3.4
通讯作者：
Feudel, U
中科院分区：
文献类型：
--
作者：
Gross, T;Ebenhöh, W;Feudel, U
自然界是否存在混沌这个问题争论颇多。本文证明了混沌参数区一般存在于长度大于3的食物链中。虽然非混沌动力学也是可能的，但混沌参数区域的存在表明混沌动力学是可能的。我们证明了混沌区域即使在高闭合指数下仍然存在。我们的研究结果是用一个通用的食物链模型得到的，这个模型描述了一大类不同的食物链。在这种一般性的模型中，混沌的存在可以由某些高维分岔的存在推导出来。
The question whether chaos exists in nature is much debated. In this paper we prove that chaotic parameter regions exist generically in food chains of length greater than three. While nonchaotic dynamics is also possible, the presence of chaotic parameter regions indicates that chaotic dynamics is likely. We show that the chaotic regions survive even at high exponents of closure. Our results have been obtained using a general food chain model that describes a large class of different food chains. The existence of chaos in models of such generality can be deduced from the presence of certain bifurcations of higher codimension.