Chaos synchronization by resonance of multiple delay times.

@article{Martn2016ChaosSB,
  title={Chaos synchronization by resonance of multiple delay times.},
  author={Manuel Jim{\'e}nez Mart{\'i}n and Otti D'Huys and Laura Lauerbach and Elka Korutcheva and Wolfgang Kinzel},
  journal={Physical review. E},
  year={2016},
  volume={93 2},
  pages={
          022206
        }
}
Chaos synchronization may arise in networks of nonlinear units with delayed couplings. We study complete and sublattice synchronization generated by resonance of two large time delays with a specific ratio. As it is known for single-delay networks, the number of synchronized sublattices is determined by the greatest common divisor (GCD) of the network loop lengths. We demonstrate analytically the GCD condition in networks of iterated Bernoulli maps with multiple delay times and complement our… CONTINUE READING
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