Summary

the 2014 International Symposium on Nonlinear Theory and its Applications

2014

Session Number:D1L-E

Session:

Number:D1L-E3

Amplitude Death in High-dimensional Map Networks with Connection Delays

Tomohiko Watanabe,  Yoshiki Sugitani,  Keiji Konishi,  Naoyuki Hara,  

pp.719-722

Publication Date:2014/9/14

Online ISSN:2188-5079

DOI:10.34385/proc.46.D1L-E3

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Summary:
This paper investigates amplitude death in high-dimensional map networks with connection delays. A stability analysis shows that death never occurs if the connection delay is zero or the fixed point has the so-called odd-number property. In addition, the robust control theory, especially a concept of convex direction, simplifies the systematic procedure for designing the connection parameters for inducing death. The designed parameters induce death for any topology and any number of maps. In order to confirm our analytical results, some numerical examples are provided.