| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 758894 | Communications in Nonlinear Science and Numerical Simulation | 2014 | 14 Pages |
•We consider two coupled oscillators with time-delayed feedback.•The mechanisms of transition from beating to synchronous regime are studied.•Periodical zones of amplitude death and “broadband synchronization” are detected.•Results of numerical simulation completely agree with analytically obtained formulas.
Effects of synchronization in a system of two coupled oscillators with time-delayed feedback are investigated. Phase space of a system with time delay is infinite-dimensional. Thus, the picture of synchronization in such systems acquires many new features not inherent to finite-dimensional ones. A picture of oscillation modes in cases of identical and non-identical coupled oscillators is studied in detail. Periodical structure of amplitude death and “broadband synchronization” zones is investigated. Such a behavior occurs due to the resonances between different modes of the infinite-dimensional system with time delay.
