is closed and invariant,
there exists an open neighborhood of such that all solution with initial solution in will eventually enter () as .
Additionally, if contains a dense orbit then is said to be an attractor[GH, P].
Conversely, a set is said to be a repelling set[GH] if satisfy the condition 1. and 2. where is replaced by . Similarly, if contains a dense orbit then is said to be a repellor[GH].
|Date of creation||2013-03-22 15:17:34|
|Last modified on||2013-03-22 15:17:34|
|Last modified by||Daume (40)|