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Topology-free design for amplitude death in time-delayed oscillators coupled by a delayed connection

Luan Ba Le, Keiji Konishi^*, and Naoyuki Hara

Department of Electrical and Information Systems, Osaka Prefecture University 1–1 Gakuen-cho, Naka-ku, Sakai, Osaka 599-8531, Japan

^*http://www.eis.osakafu-u.ac.jp/∼ecs

Phys. Rev. E 87, 042908 – Published 9 April, 2013

DOI: https://doi.org/10.1103/PhysRevE.87.042908

Abstract

This paper deals with amplitude death in time-delayed oscillators coupled by a delayed connection with topology uncertainty. A systematic procedure without trial-and-error testing for designing connection parameters is proposed from a robust control theory viewpoint. This procedure has the following two advantages: the designed connection parameters are valid for any network topology and the procedure is valid even for long-delay oscillators. These analytical results are verified by some numerical simulations.

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References (44)

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Topology-free design for amplitude death in time-delayed oscillators coupled by a delayed connection

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