| Contents |
| We consider a network of Hopf normal forms (Stuart-Landau oscillators) coupled with
heterogeneous delays. By tuning the coupling parameters, different synchronization patterns,
i.e., in-phase, splay, and clustering, can be selected.
Our coupling scheme allows for arbitrary delays independent of the period of the
synchronized periodic orbit. The characteristic equation for
Floquet exponents of the heterogeneous delay network is derived in an analytical form, which
reveals the coupling parameters for successful stabilization. The equation takes a unified
form for both subcritical and supercritical Hopf bifurcations regardless of the
synchronization patterns. The analysis of Floquet exponents and direct numerical simulations
show that the heterogeneity in the delays drastically facilitates stabilization and
provides an enlarged parameter region for successful control.
Finally, we consider the thermodynamic limit in the framework of a mean field
approximation and show that heterogeneous delays offer an enhanced performance of control. |
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