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This setup also allows for numerical computation of nearly invariant sets, the exit times from these sets, and the exit locations under varying perturbation ranges. Three examples with additive perturbations are included: a one degree of freedom system with double well potential and the escape equation without and with periodic excitation.<\/jats:p>","DOI":"10.1137\/040618539","type":"journal-article","created":{"date-parts":[[2008,3,29]],"date-time":"2008-03-29T03:17:54Z","timestamp":1206760674000},"page":"79-107","source":"Crossref","is-referenced-by-count":14,"title":["Near Invariance for Markov Diffusion Systems"],"prefix":"10.1137","volume":"7","author":[{"given":"Fritz","family":"Colonius","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tobias","family":"Gayer","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wolfgang","family":"Kliemann","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2008,1,16]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","unstructured":"L. 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