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تسجيل مستخدم جديدStabilization of direct numerical simulation for finite truncations of circular cumulant expansions
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We study a numerical instability of direct simulations with truncated equation chains for the circular cumulant representation and two approaches to its suppression. The approaches are tested for a chimera-bearing hierarchical population of coupled oscillators. The stabilization techniques can be efficiently applied without significant effect on the natural system dynamics within a finite vicinity of the Ott-Antonsen manifold for direct numerical simulations with up to 20 cumulants; with increasing deviation from the Ott-Antonsen manifold the stabilization becomes more problematic.
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