Self-organisation of random oscillators with L\'evy stable distributions

Sara Moradi; Johan Anderson

doi:10.1088/1751-8121/aa7c66

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arXiv · 1707.03061

Self-organisation of random oscillators with L\'evy stable distributions

Sara Moradi·Johan Anderson

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Abstract

A novel possibility of self-organized behaviour of stochastically driven oscillators is presented. It is shown that synchronization by L\'evy stable processes is significantly more efficient than that by oscillators with Gaussian statistics. The impact of outlier events from the tail of the distribution function was examined by artificially introducing a few additional oscillators with very strong coupling strengths and it is found that remarkably even one such rare and extreme event may govern the long term behaviour of the coupled system. In addition to the multiplicative noise component, we have investigated the impact of an external additive L\'evy distributed noise component on the synchronisation properties of the oscillators.

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Sara Moradi, Johan Anderson. 2017-07-10. Self-organisation of random oscillators with L\'evy stable distributions. https://doi.org/10.1088/1751-8121/aa7c66

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