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Journal Article

Optimal time-varying coupling function can enhance synchronization in complex networks


Dayani,  Zahra
External Organizations;

Parastesh,  Fatemeh
External Organizations;

Nazarimehr,  Fahimeh
External Organizations;

Rajagopal,  Karthikeyan
External Organizations;

Jafari,  Sajad
External Organizations;


Schöll,  Eckehard
Potsdam Institute for Climate Impact Research;


Kurths,  Jürgen
Potsdam Institute for Climate Impact Research;

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Dayani, Z., Parastesh, F., Nazarimehr, F., Rajagopal, K., Jafari, S., Schöll, E., Kurths, J. (2023): Optimal time-varying coupling function can enhance synchronization in complex networks. - Chaos, 33, 3, 033139.

Cite as: https://publications.pik-potsdam.de/pubman/item/item_28465
In this paper, we propose a time-varying coupling function that results in enhanced synchronization in complex networks of oscillators. The stability of synchronization can be analyzed by applying the master stability approach, which considers the largest Lyapunov exponent of the linearized variational equations as a function of the network eigenvalues as the master stability function. Here, it is assumed that the oscillators have diffusive single-variable coupling. All possible single-variable couplings are studied for each time interval, and the one with the smallest local Lyapunov exponent is selected. The obtained coupling function leads to a decrease in the critical coupling parameter, resulting in enhanced synchronization. Moreover, synchronization is achieved faster, and its robustness is increased. For illustration, the optimum coupling function is found for three networks of chaotic Rössler, Chen, and Chua systems, revealing enhanced synchronization.