Abstract
Complex networks are wide spread in the real world, arising in fields as disparate as sociology, physics and biology. The information spreading through a complex network is often associated with time delays due to the finite speeds of signal transmission over a distance. Hence, complex networks with coupling delays have gained increasing attention in various fields of science and engineering today. In this paper, based on the theory of asymptotic stability of linear time-delay systems, synchronization stability in complex dynamical networks with coupling delays is investigated, and we derive novel criteria of synchronization state for both delay-independent and delay-dependent stabilities. As illustrative examples, we use the networks with coupling delays and a given coupling scheme to test the theoretical results.
| Original language | English |
|---|---|
| Pages (from-to) | 527-536 |
| Number of pages | 10 |
| Journal | Physica A: Statistical Mechanics and its Applications |
| Volume | 378 |
| Issue number | 2 |
| DOIs | |
| State | Published - 15 May 2007 |
Keywords
- Complex networks
- Coupling delays
- Synchronization stability
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