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- W20283344 abstract "This chapter explores methods of generating fractals from the mapping z → z -n + c and discusses the structure of the resulting images. Lyapunov exponents and cycle periodicity show details of these fractals that are obscured by prior escape-time techniques. The resulting fractals are shown to have a hypocycloid shape. The associated Julia sets can be classified into a variety of types. In general, the Julia sets are not symmetrical by reflection unless c is real. A positive Lyapunov exponent indicates chaotic behavior and a negative Lyapunov exponent indicates stable behavior." @default.
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- W20283344 date "1998-01-01" @default.
- W20283344 modified "2023-09-26" @default.
- W20283344 title "An investigation of fraclas generated by z→1/z∧n+c" @default.
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- W20283344 doi "https://doi.org/10.1016/b978-044450002-1/50052-7" @default.
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