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A Simple Population Model with Qualitatively Uncertain Dynamics

✍ Scribed by M.G. Neubert

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
842 KB
Volume
189
Category
Article
ISSN
0022-5193

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✦ Synopsis

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

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