Where To Go and How To Go: a Theoretical Study of Different Leader Roles in Networked Systems

Details Where To Go and How To Go: a Theoretical Study of Different Leader Roles in Networked Systems Where To Go and How To Go: a Theoretical Study of Different Leader Roles in Networked Systems

2004-07-23

arxiv.org/abs/physics/0407121v1

Physics

Biological Physics

9 pages, 2 figures

Scientific paper

This letter studies synchronization conditions for distributed dynamic networks with different types of leaders. The role of a leader specifying a desired global state trajectory through local interactions (the power leader) has long been recognized and modeled. This paper introduces the complementary notion of a knowledge leader holding information on the target dynamics, which is propagated to the entire network through local adaptation mechanisms. Knowledge-based leader-followers networks have many analogs in biology, e.g., in evolutionary processes and disease propagation. Different types of leaders can co-exist in the same network.

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