The Poincar -Bendixson Theorem for Monotone Cyclic Feedback Systems
نویسنده
چکیده
where we agree to interpret x ~ as x n. [As there will be a frequent need to make such interpretat ions, due to the cyclic nature of the feedback in (0.1), let us agree that all indices (superscripts) of all variables are to be taken modu lo n.] We assume the nonlineari ty f = (fl, f2,...,fn) is defined on a n o n e m p t y open set 0 c R n with the p roper ty that each coordinate project ion O i c R 2 of 0 onto the (x i, x i 1) plane is convex and that f i e C1(Oi).
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تاریخ انتشار 1989