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Stability of synchronization in a shift-invariant ring of mutually coupled oscillators

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  • This paper treats synchronization dynamics in a shift-invariant ring of N mutually coupled self-sustained electrical units. Via some qualitative theory for the Lyapunov exponents, we derive the regimes of coupling parameters for which synchronized oscillation is stable or unstable in the ring.
    Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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