Display Abstract

Title Synchronization extends the life time of the desired behavior of globally coupled systems

Name Tomasz Kapitaniak
Country Poland
Email tomaszka@p.lodz.pl
Co-Author(s) Marcin Kapitaniak, Mateusz Lazarek, Michal Nielaczny, Krzysztof Czolczynski, Przemyslaw Perlikowski & Tomasz Kapitaniak
Submit Time 2014-02-28 01:50:08
Session
Special Session 13: Nonlocally coupled dynamical systems: Analysis and applications
Contents
Synchronization occurs widely in natural and technological world, but it has not been widely used extend the life time of the desirable behavior of the coupled systems. Here we consider the globally coupled system consisting of n units and show that the initial synchronous state extends the lifetime of desired behavior of the coupled system in the case when the excitation of one or few units is suddenly (breakdown of energy supply) or gradually (as the effect of aging and fatigue) switched off. We give evidence that for the properly chosen coupling the energy transfer from the excited units allows unexcited unit to operate in the desired manner. As proof of concept, we examine the system of coupled externally excited rotating pendula. After the partial excitation switch off the initial complete synchronization of all pendula is replaced by phase synchronization with a constant phase shift between the clusters of excited and unexcited pendula. Our results show that the described extension of the system's life time occurs for the wide range of coupling parameters and is robust to the external perturbations.