• DOI:10.1103/PhysRevE.93.032213
• Corpus ID: 31026572

Superlinearly scalable noise robustness of redundant coupled dynamical systems.

@article{Kohar2016SuperlinearlySN,
  title={Superlinearly scalable noise robustness of redundant coupled dynamical systems.},
  author={Vivek Kohar and Behnam Kia and John F. Lindner and William L. Ditto},
  journal={Physical review. E},
  year={2016},
  volume={93 3},
  pages={
          032213
        }
}

• V. Kohar, Behnam Kia, +1 author W. Ditto
• Published 11 March 2016
• Physics, Mathematics
• Physical review. E

We illustrate through theory and numerical simulations that redundant coupled dynamical systems can be extremely robust against local noise in comparison to uncoupled dynamical systems evolving in the same noisy environment. Previous studies have shown that the noise robustness of redundant coupled dynamical systems is linearly scalable and deviations due to noise can be minimized by increasing the number of coupled units. Here, we demonstrate that the noise robustness can actually be scaled superlinearly if some conditions are met and very high noise robustness can be realized with very few coupled units. We discuss these conditions and show that this superlinear scalability depends on the nonlinearity of the individual dynamical units. The phenomenon is demonstrated in discrete as well as continuous dynamical systems. This superlinear scalability not only provides us an opportunity to exploit the nonlinearity of physical systems without being bogged down by noise but may also help us in understanding the functional role of coupled redundancy found in many biological systems. Moreover, engineers can exploit superlinear noise suppression by starting a coupled system near (not necessarily at) the appropriate initial condition.