Construction of globally superstable 1-D quadratic mappings
نویسندگان
چکیده
The global superstability of a dynamical system is allowed when all bounded orbits of this system are superstable, .i.e. There exist a minus infinity Lyapunouv exponent. In this paper it is shown that any globally superstable 2-D quadratic map is conjugate to the 1D quadratic map. This result allow us to determine some forms of superstable 1-D quadratic maps.
منابع مشابه
An Example of Superstable Quadratic Mapping of the Space
The superstability of a dynamical motion is defined with existence of a minus infinity Lyapunouv exponent, this mean that this motion is attractive. There are several methods for constructing 1-D polynomial mappings with attracting cycles or superstable cycles [1,2] based on Lagrange and Newton interpolations. Superstable phenomena in some 1-D maps embedded in circuits and systems are studied i...
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