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• W4387484705 abstract "Motivated by applications to mathematical biology, we study the averaging problem for slow–fast systems, in the case in which the fast dynamics is a stochastic process with multiple invariant measures . We consider both the case in which the fast process is decoupled from the slow process and the case in which the two components are fully coupled. We work in the setting in which the slow process evolves according to an ordinary differential equation (ODE) and the fast process is a continuous time Markov process with finite state space and show that, in this setting, the limiting (averaged) dynamics can be described as a random ODE (i.e. an ODE with random coefficients)." @default.
• W4387484705 created "2023-10-11" @default.
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• W4387484705 date "2023-10-01" @default.
• W4387484705 modified "2023-10-16" @default.
• W4387484705 title "On the study of slow–fast dynamics, when the fast process has multiple invariant measures" @default.
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• W4387484705 doi "https://doi.org/10.1098/rspa.2023.0322" @default.
• W4387484705 hasPublicationYear "2023" @default.
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