Synchrony &; chaos in patchy ecosystems |
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Authors: | Email author" target="_blank">R?M?HillaryEmail author M?A?Bees |
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Institution: | (1) Renewable Resources Assessment Group, Department of Environmental Science and Technology, Imperial College, London, SW7 2BP, UK;(2) Department of Mathematics, University of Glasgow, Glasgow, G12 8QW, UK |
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Abstract: | The apparent synchronisation of spatially discrete populations is a well documented phenomenon. However, it is not clear what
the governing mechanisms are for this synchrony, and whether they are robust over a range of environmental conditions and
patch specific population dynamic behaviours. In this paper, we explore two (possibly interacting) modes of coupling, and
investigate their theoretically discernible, and perhaps even experimentally measurable, signatures. To aid us in this investigation
we employ a planktonic example system, with direct application to plankton patchiness. Furthermore, we address the role of
chaos in complex spatio-temporal dynamics; we find that chaos associated with funnel attractors can play a distinguished role,
over dynamics less sensitive to small variations, in being more susceptible to generalised synchronisation (such as phase
synchronisation) in the presence of small local parameter variation. This is in contrast to the case for coupled systems with
identical dynamics, and suggests that non-identically coupled systems are more vulnerable to global extinction events when
exhibiting funnel-type chaotic dynamics. |
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