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Please use this identifier to cite or link to this item: http://hdl.handle.net/10466/6453

Title: Amplitude death in time-delay nonlinear oscillators coupled by diffusive connections
Authors: Konishi, Keiji
Senda, Katsuhisa
Kokame, Hideki
Issue Date: 25-Nov-2008
Publisher: American Physical Society
Rights: c2008 The American Physical Society
Citation: Physical Review E. 2008, 78(5), 056216
Abstract: This paper analyzes the stability of the amplitude death phenomenon that occurs in a pair of scalar time-delay nonlinear oscillators coupled by static, dynamic, and delayed connections. Stability analysis shows that static connections never induce death in time-delay oscillators. Further, for the case of dynamic and delayed connections, a simple instability condition under which death never occurs is derived. A systematic procedure for estimating the boundary curves of death regions is also provided. These analytical results are then verified by electronic circuit experiments.
URI: http://hdl.handle.net/10466/6453
DOI: 10.1103/PhysRevE.78.056216
ISSN: 1539-3755
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