Optimized multi-variable coupling can improve synchronization in complex 
networks

Ansarinasab, Sheida; Parastesh, Fatemeh; Ghassemi, Farnaz; Rajagopal, Karthikeyan; Jafari, Sajad; Kurths, Jürgen

doi:10.1007/s11071-024-09934-9

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Optimized multi-variable coupling can improve synchronization in complex networks

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Ansarinasab, Sheida
External Organizations;

Parastesh, Fatemeh
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Ghassemi, Farnaz
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Rajagopal, Karthikeyan
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Jafari, Sajad
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/persons/resource/Juergen.Kurths

Kurths, Jürgen
Potsdam Institute for Climate Impact Research;

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Ansarinasab, S., Parastesh, F., Ghassemi, F., Rajagopal, K., Jafari, S., Kurths, J. (2024): Optimized multi-variable coupling can improve synchronization in complex networks. - Nonlinear Dynamics, 112, 18491-18500.
https://doi.org/10.1007/s11071-024-09934-9

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Investigating synchronization in networks of oscillators elucidates the intricate interplay between individual dynamics and emergent collective behavior. This study introduces an optimization algorithm to achieve multi-variable coupling for enhancing synchronization in networks of chaotic systems with diffusive couplings. Our results demonstrate that the optimized multi-variable coupling surpasses single-variable and diagonal couplings in achieving synchronization under equivalent total coupling strength. Employing the optimization algorithm, based on the master stability function (MSF), across networks of chaotic Rössler, Hindmarsh-Rose, Lorenz, and Chen reveals that the optimized multi-variable coupling requires lower coupling strength for synchronization than other coupling schemes. Furthermore, the resulting MSF with optimized multi-variable coupling results in more negative values, indicating a higher degree of stability in synchronization.