On the Occurence of Stable Heteroclinic Channels in Random Networks
نویسنده
چکیده
The Lotka-Volterra equations can be used to model the behavior of complex systems in nature. Trajectories in a stable heteroclinic channel describe transient dynamics according to the winnerless competition principle in such a system. The existence of such a channel is guaranteed if the parameters of the Lotka-Volterra equations satisfy a number of conditions. We study under what conditions a heteroclinic channel arises in a grossly organized system, i.e. a system where the coupling strength are chosen randomly. From these results we can derive what the overall structure of the system has to be.
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