title: Frustration tuning and perfect phase synchronization in the Kuramoto-Sakaguchi model.
abstract: We present an analysis of conditions under which the dynamics of a frustrated Kuramoto-or Kuramoto-Sakaguchi-model on sparse networks can be tuned to enhance synchronization. Using numerical optimization techniques, linear stability, and dimensional reduction analysis, a simple tuning scheme for setting node-specific frustration parameters as functions of native frequencies and degrees is developed. Finite-size scaling analysis reveals that even partial application of the tuning rule can significantly reduce the critical coupling for the onset of synchronization. In the second part of the paper, a codynamics is proposed, which allows a dynamic tuning of frustration parameters simultaneously with the ordinary Kuramoto dynamics. We find that such codynamics enhance synchronization when operating on slow time scales, and impede synchronization when operating on fast time scales relative to the Kuramoto dynamics.
authors.affiliation: Complexity, Agents and Interactions, Department of Electronics and Computer Science, University of Southampton, United Kingdom.
authors.forename: Markus
authors.initials: M
authors.lastname: Brede
authors.affiliation: Defence Science and Technology Group, Canberra 2600, Australia.
authors.forename: Alexander C
authors.initials: AC
authors.lastname: Kalloniatis