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Abstract:
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.
