Analytical Solutions to Multivalued Maps
| Autor: | Lindomar B. de Carvalho, Jorge A. González |
|---|---|
| Rok vydání: | 1997 |
| Předmět: |
Pure mathematics
Class (set theory) Series (mathematics) Chaotic Statistical and Nonlinear Physics Lyapunov exponent Condensed Matter Physics Special class Nonlinear Sciences::Chaotic Dynamics Set (abstract data type) symbols.namesake symbols Computer Science::Databases Lattice model (physics) Mathematics |
| Zdroj: | Modern Physics Letters B. 11:521-530 |
| ISSN: | 1793-6640 0217-9849 |
| DOI: | 10.1142/s0217984997000633 |
| Popis: | We present explicit solutions for a class of chaotic maps. The return-maps generated by a special class of chaotic functions can be multivalued, or even they can represent an erratic set of points. In some cases the produced time series can have an increasing time-dependent maximum Lyapunov exponent. We discuss some applications of the obtained results. In particular, we present a chaotic lattice model for the investigation of the propagation of carriers in the presence of disorder. |
| Databáze: | OpenAIRE |
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