A First Course in Chaotic Dynamical Systems

By R. Devaney. 2020

328 citations recorded by the source corpus.

How researchers see this paper

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Rule Extraction from Recurrent Neural Networks: ATaxonomy and Review (2005, background): “839, the system has a 3-cycle attractor (Devaney, 1992) and generates the sequence · · · + + − + + − .”
DISTRIBUTIONAL CHAOS REVISITED (2009, background): “Let us recall (see [20]) that a map f has sensitive dependence on the initial conditions if there exists r > 0 such that for every x ∈ X and every ε > 0, we can find a point y ∈ X such that d(x, y) < ε and d(f(x), f(y)) > r for some integer m > 0.”
Analytic Combinatorics (2009, background): “Our reader is certainly aware of the beautiful images associated with the name of Mandelbr ot whose works have triggered renewed interest in these questions, now classifi ed as belonging to the field of “complex dynamics” [31, 156, 443, 473].”