326 citations
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Showing 2008 · math.DSShow all
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math.DS2008★ 97 cited
Synchronization of discrete-time dynamical networks with time-varying couplings
Wenlian Lu, Fatihcan M. Atay, Jürgen Jost
We study the local complete synchronization of discrete-time dynamical networks with time-varying couplings. Our conditions for the temporal variation of the couplings are rather g…
math.DS2008
Infinite genus surfaces and irrational polygonal billiards
Ferran Valdez
We prove that the natural invariant surface associated with the billiard game on an irrational polygonal table is homeomorphic to the Loch Ness monster, that is, the only orientabl…