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• W2797802604 abstract "In-phase synchronization is a special case of synchronous behavior when coupled oscillators have the same phases for any time moments. Such behavior appears naturally for nearly identical coupled limit-cycle oscillators when the coupling strength is greatly above the synchronization threshold. We investigate the general class of nearly identical complex oscillators connected into network in a context of a phase reduction approach. By treating each oscillator as a black-box possessing a single-input single-output, we provide a practical and simply realizable control algorithm to attain the in-phase synchrony of the network. For a general diffusive-type coupling law and any value of a coupling strength (even greatly below the synchronization threshold) the delayed feedback control with specially adjusted time-delays can provide in-phase synchronization. Such adjustment of the delay times performed in an automatic fashion by the use of an adaptive version of the delayed feedback algorithm when time-delays become time-dependent slowly varying control parameters. Analytical results show that there are many arrangements of the time-delays for the in-phase synchronization, therefore we supplement the algorithm by an additional requirement to choose an appropriate set of the time-delays, which minimize power of a control force. Performed numerical validations of the predictions highlights the usefulness of our approach." @default.
• W2797802604 created "2018-04-24" @default.
• W2797802604 creator A5016994334 @default.
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• W2797802604 date "2018-10-05" @default.
• W2797802604 modified "2023-10-15" @default.
• W2797802604 title "In-phase synchronization in complex oscillator networks by adaptive delayed feedback control" @default.
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• W2797802604 doi "https://doi.org/10.1103/physreve.98.042302" @default.
• W2797802604 hasPublicationYear "2018" @default.
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