Summary
International Symposium on Nonlinear Theory and Its Applications
2016
Session Number:A2L-C
Session:
Number:A2L-C-3
Characterization and Control of Chimera State Collapses
Ralph Andrzejak, Christian Rummel, Florian Mormann, Kaspar Schindler,
pp.-
Publication Date:2016/11/27
Online ISSN:2188-5079
Summary:
Networks of identical pendulum clocks can be connected to synchronize them. Simulations and recent experiments have shown that surprisingly such networks can split into two incongruent groups. One group swings perfectly regular and synchronized, while the remaining pendulums move incoherently and erratically. After long times such so-called chimera states suddenly collapse, and all pendulums swing synchronously. We here reveal the cause of this collapse and how to provoke and prevent it. Our results are relevant for dynamics which need full synchronization (e.g. heart muscle cells, electrical power-grids) or where global synchronization would be fatal (e.g. neurons in the brain)