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• W4308145248 abstract "A heteroclinic cycle is an invariant set in a dynamical system consisting of saddle-type equilibria and heteroclinic connections between them. It is known that deterministic perturbations (inputs) to a heteroclinic cycle generally lead to periodic solutions. Addition of noise to such a system leads to a non-intuitive result: there is a range of noise levels for which the mean residence time near the equilibria of the heteroclinic cycle increases as the noise level increases to a given threshold. We explain how the interaction between noise and inputs gives rise to this by combining analytical results from constructing a Poincaré map with a simple stochastic system. We support our results with numerical simulations." @default.
• W4308145248 created "2022-11-08" @default.
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• W4308145248 date "2022-10-30" @default.
• W4308145248 modified "2023-10-18" @default.
• W4308145248 title "Effect of noise on residence times of a heteroclinic cycle" @default.
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• W4308145248 doi "https://doi.org/10.1080/14689367.2022.2136062" @default.
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