Amplitude death in time-delay nonlinear oscillators coupled by diffusive connections | Zendy

Keiji Konishi | Zendy; Katsuhisa Senda | Zendy; Hideki Kokame | Zendy

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Amplitude death in time-delay nonlinear oscillators coupled by diffusive connections

Author(s) -

Keiji Konishi,

Katsuhisa Senda,

Hideki Kokame

Publication year - 2008

Publication title -

physical review e

Language(s) - English

Resource type - Journals

eISSN - 1550-2376

pISSN - 1539-3755

DOI - 10.1103/physreve.78.056216

Subject(s) - nonlinear system , amplitude , control theory (sociology) , scalar (mathematics) , instability , mathematics , stability (learning theory) , mathematical analysis , physics , computer science , mechanics , geometry , quantum mechanics , control (management) , artificial intelligence , machine learning

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

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