Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:D3L-D

Session:

Number:922

Stability Analysis of Amplitude Death Induced by a Time-Varying Delay Connection in Network Oscillators

Yoshiki Sugitani,  Keiji Konishi,  Naoyuki Hara,  

pp.922-925

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.922

PDF download (1.4MB)

The time-delay connection induced amplitude death has been extensively investigated in the field of nonlinear science. Our previous study showed that a time-varying delay connection can induce a stabilization of unstable steady states in a pair of oscillators. This report extends our previous study to network oscillators. A linear stability analysis reveals that such connection is valid even for network oscillators. The analytical results are verified by numerical simulations.

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