Invariant measure selection by noise. An example
| Data(s) |
01/01/2014
|
|---|---|
| Formato |
4223 - 4257 |
| Identificador |
Discrete and Continuous Dynamical Systems- Series A, 2014, 34 (10), pp. 4223 - 4257 1078-0947 http://hdl.handle.net/10161/9511 1553-5231 |
| Relação |
Discrete and Continuous Dynamical Systems- Series A 10.3934/dcds.2014.34.4223 |
| Palavras-Chave | #Inviscid limits #zero noise limit #invariant measure selection #stochastic dynamically systems |
| Tipo |
Journal Article |
| Resumo |
We consider a deterministic system with two conserved quantities and infinity many invariant measures. However the systems possess a unique invariant measure when enough stochastic forcing and balancing dissipation are added. We then show that as the forcing and dissipation are removed a unique limit of the deterministic system is selected. The exact structure of the limiting measure depends on the specifics of the stochastic forcing. |
