Abstract
The paper focuses on a two-layer network composed of fractional-order oscillators, and investigates the mesoscale collective dynamical behaviors of the network, i.e., intra-layer synchronization and inter-layer synchronization. Specifically, the necessary constraint conditions are firstly presented for achieving intra-layer synchronization and inter-layer synchronization. With the constraints, based on the Lyapunov stability theory and the fractional-order system theory, sufficient conditions for inter-layer synchronization and intra-layer synchronization are obtained respectively. Interestingly, the conditions cover the basic synchronization criteria bridging the relationship of interacting between the topologies, inner coupling functions and coupling strengthes of the intra-layer and the inter-layer. Finally, numerical examples are provided to further verify the theoretical results.
| Original language | English |
|---|---|
| Article number | 8998552 |
| Pages (from-to) | 2397-2408 |
| Number of pages | 12 |
| Journal | IEEE Transactions on Circuits and Systems |
| Volume | 67 |
| Issue number | 7 |
| DOIs | |
| State | Published - Jul 2020 |
Keywords
- Intra-layer synchronization
- Lyapunov stability method
- fractional order
- inter-layer synchronization
- multilayer networks
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