On bifurcation in models of hyperbolic noise
E. V. Zhuzhoma1, N. V. Isaenkova2, V. S. Medvedev3
| Annotation | We prove that arbitrarily small (in $ C ^ 0 $-topology) perturbation maps of Smale can get a map with a non-trivial zero-dimensional hyperbolic set. The resulting map can be used in information transmission systems with complete chaotic synchronization. |
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| Keywords | hyperbolic non-wandering sets, Smale-Williams diffeomorphisms, Smale surgery, synchronization of chaotic oscillators |
1Professor of Mathematics Chair, Nizhny Novgorod State Pedagogical University, Nizhny Novgorod; zhuzhoma@mail.ru.
2Aspirant faculty of mathematical analysis, Nizhny Novgorod State Pedagogical University, Nizhny Novgorod; nisaenkova@mail.ru.
3Senior Staff Scientist Department of differential equations, Institute of Applied Mathematics and Cybernetics, Nizhny Novgorod; medvedev@unn.ac.ru.
Citation: E. V. Zhuzhoma, N. V. Isaenkova, V. S. Medvedev, "[On bifurcation in models of hyperbolic noise]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,13:4 (2011) 51–60 (In Russian)
