Noncontinuous maps and Devaney’s chaos
✍ Scribed by M. Kulczycki
- Book ID
- 111469452
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2008
- Tongue
- English
- Weight
- 305 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1560-3547
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📜 SIMILAR VOLUMES
attractor a b s t r a c t We address the differential equation with a pulse function, whose moments of discontinuity depend on the initial moment. The existence of a chaotic attractor, and the complex behavior of all solutions are investigated. An appropriate simulations are presented.
We study the chaotic behavior of a particular class of dynamical systems: cellular automata. We specialize the definition of chaos given by Devaney for general dynamical systems to the case of cellular automata. A dynamical system (X,F) is chaotic according to Devaney's definition of chaos if its ~s