Stability analysis and design of amplitude death induced by a time-varying delay connection |
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Authors: | Keiji Konishi Hideki Kokame Naoyuki Hara |
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Affiliation: | Department of Electrical and Information Systems, Osaka Prefecture University, 1-1 Gakuen-cho, Naka-ku, Sakai, Osaka 599-8531, Japan |
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Abstract: | The present Letter considers amplitude death in a pair of oscillators coupled by a time-varying delay connection. A linear stability analysis is used to derive the boundary curves for amplitude death in a connection parameters space. The delay time can be arbitrarily long for certain amplitude of delay variation and coupling strength. A simple systematic procedure for designing such variation and strength is provided. The theoretical results are verified by a numerical simulation. |
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Keywords: | 05.45.Xt 05.45.Gg 05.45.-a |
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