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The Brouwer Fixed Point Theorem applied to rumour transmission
(Elsevier Science B.V., Amsterdam, 2006-08)
The results of the Brouwer Fixed Point Theorem are extended to continuous dynamical systems. It is shown that if there exists
a compact convex positive invariant set for the dynamical system, then this convex positive ...
Periodic prime knots and topologically transitive flows on 3-manifolds
(Elsevier Science B.V., Amsterdam, 2006-02-01)
Suppose that () is a nonsingular (fixed point free) C^1 flow on a
smooth closed 3-dimensional manifold M with H2(M) = 0. Suppose that () has a dense orbit. We show that there exists an open dense set N µ M such
that any ...
RIT Undergraduate Symposium 2006
(2006)
The Undergraduate Research Symposium was founded to honor student achievement in scientific research and to further RIT's goal of combining traditional laboratory work and classroom instruction with experiential learning. ...