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Design of amplitude death in time-delay oscillators coupled by a delayed connection

Keiji Konishi
The present paper considers amplitude death in a pair of identical time-delay oscillators coupled by a delayed connection. The stability analysis allows us to derive a systematic procedure to design the connection (i.e., coupling strength and connection delay) for induction of amplitude death. The main advantage of this procedure is that the designed connection guarantees to induce amplitude death even if the oscillators have long time delays. Our analytical results are verified by numerical examples.
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