Neubert MG
Biology Department, Woods Hole Oceanographic Institution, Woods Hole, Massachusetts 02543, U.S.A.
J Theor Biol. 1997 Dec 21;189(4):399-411. doi: 10.1006/jtbi.1997.0258.
Basins of attraction of nonlinear systems can be "riddled"; arbitrarily close to any point in a riddled basin are neighboring points which go to a different attractor. I present two chaotically forced single-species population models with riddled basins of attraction. As a result of this complex basin structure, the ultimate survival of these populations is effectively unpredictable. Riddled basins produce a level of unpredictability qualitatively greater than the familiar sensitive dependence on initial conditions within a single chaotic attractor, or the unpredictability caused by multiple attractors with fractal basin boundaries.Copyright 1997 Academic Press Limited Copyright 1997 Academic Press Limited
非线性系统的吸引盆可能会出现“布满孔洞”的情况；在布满孔洞的吸引盆中，任意靠近某一点的相邻点都会趋向于不同的吸引子。我给出了两个具有布满孔洞吸引盆的受混沌驱动的单物种种群模型。由于这种复杂的吸引盆结构，这些种群的最终生存情况实际上是不可预测的。布满孔洞的吸引盆所产生的不可预测程度，在性质上比单个混沌吸引子内大家熟知的对初始条件的敏感依赖性，或者由具有分形吸引盆边界的多个吸引子所导致的不可预测性要大得多。版权所有1997学术出版社有限公司 版权所有1997学术出版社有限公司
