SYSYMar 31, 2019

Synchronization of nonlinearly coupled networks of Chua oscillators

arXiv:1904.00484
AI Analysis

Provides theoretical synchronization criteria for a specific class of nonlinear coupled oscillator networks, but the results are incremental and limited to Chua oscillators.

The paper derives sufficient conditions for synchronization of nonlinearly coupled Chua oscillators, establishing a trade-off between coupling sector characteristics and network topology. No concrete numerical results are provided.

The paper develops new sufficient conditions for synchronization of a network of $N$ nonlinearly coupled Chua oscillators interconnected via the first state coordinate only. The nonlinear coupling strength is governed by a function residing within a sector, i.e. it is bounded from above and below by linear functions. The derived sufficient conditions provide a trade-off between the characteristics of the sector and the interconnection topology of the network to guarantee the synchronization of the oscillators.

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