12 noon - 1pm
Thursday 20 December 2018
Threshold activated coupling stabilizes the chaotic states to steady states
Chandrakala Meena will be talking about a chaos control mechanism in random scale-free networks of population dynamics.
University of Surrey
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- Chandrakala Meena (Complex Networks Dynamics, Bar-Ilan University, Ramat Gan, Israel)
In this talk, Chandrakala Meena would like to talk about a chaos control mechanism in random scale-free networks of population dynamics. For the population dynamics we consider the chaotic Ricker map on each node and nodes in the network are connected by transport that is triggered when population density in a patch is in excess of a critical threshold level.
Our central result is that threshold-activated dispersal leads to stable fixed populations, for a wide range of threshold levels. Further, suppression of chaos is facilitated when the threshold-activated migration is more rapid than the intrinsic population dynamics of a patch. Additionally, networks with a large number of nodes open to the environment, readily yield stable steady states and in the networks with very few open nodes, the degree and betweeness centrality of the node open to the environment has a pronounced influence on control. All qualitative trends are corroborated by quantitative measures, reflecting the efficiency of control, and the width of the steady state window.