Summary
International Symposium on Nonlinear Theory and its Applications
2017
Session Number:C2L-E-2
Session:
Number:C2L-E-2-2
Stability Analysis of Amplitude Death in Delayed Coupled Oscillators on a Cubic Graph with Three Different Connection Delays
Takahiro Kikuchi, Yoshiki Sugitani,
pp.724-727
Publication Date:2017/12/4
Online ISSN:2188-5079
DOI:10.34385/proc.29.C2L-E-2-2
PDF download (1.8MB)
Summary:
The present study investigates the stability of amplitude death in a delayed-coupled oscillator network on a cubic graph.The oscillator network on the cubic graph is constructed by Cartesian product of three sub-networks, whose topologies are path graph with two nodes.Since the sub-networks have different connection delays, the connection delays of the oscillator network are not identical.Although such oscillator network is difficult to be analyzed, the property of the Cartesian product allows us to analyze the stability easily.The analytical results are confirmed via numerical simulations.