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EnglishAbstract. We study existence and uniqueness of an invariant measure for infinite dimensional stochastic differential equations with dissipative polynomially bounded nonlinear terms. We also exhibit the existence of a density with respect to a Gaussian measure. Moreover, we decompose the solution process into a stationary component and a component which vanishes asymptotically in the L 2 -sense. Applications are given to neurobiological networks where the signals propagation is modelled by a system of coupled stochastic FitzHugh-Nagumo equations.
| Titolo: | Invariant measures for stochastic differential equations on networks |
| Autori: | |
| Data di pubblicazione: | 2013 |
| Abstract: | Abstract. We study existence and uniqueness of an invariant measure for infinite dimensional stochastic differential equations with dissipative polynomially bounded nonlinear terms. We also exhibit the existence of a density with respect to a Gaussian measure. Moreover, we decompose the solution process into a stationary component and a component which vanishes asymptotically in the L 2 -sense. Applications are given to neurobiological networks where the signals propagation is modelled by a system of coupled stochastic FitzHugh-Nagumo equations. |
| Handle: | http://hdl.handle.net/11562/744564 |
| ISBN: | 9780821875742 |
| Appare nelle tipologie: | 02.01 Contributo in volume (Capitolo o Saggio) |
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