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- W1973034857 abstract "In this paper we determine the Lyapunov exponents (LEs) for some Lebesgue measure zero periodic orbits from the Gauss map. This map generates the integers of a simple continued fractions representation (CFR). Only periodic orbits related to powers of the golden mean ϕ=(5-1)/2 are considered. It is shown that the LE from the CFR of any power (1/ϕi) (i = ±1, ±2, …) can be written as a multiple of λϕ, which is the LE related to the golden mean. When i is odd, the LEs are given by λG(xi) = iλϕ, and when i is even the LEs are λG(xi) = iλϕ/2. In general, the LE from the CFR of (1/ϕi) increases as i increases. Additionally, the LE is determined when (1/ϕi) is multiplied by an integer. We also present some examples of the instability of the CFRs related to quark’s mass ratio." @default.
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- W1973034857 date "2008-01-01" @default.
- W1973034857 modified "2023-09-27" @default.
- W1973034857 title "Instability of powers of the golden mean" @default.
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- W1973034857 doi "https://doi.org/10.1016/j.chaos.2007.07.008" @default.
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