Abstract
The dynamical system given by [Formula: see text] is considered, where z is a complex variable and [Formula: see text] denotes the complex conjugate of it. The function F2(z) is related to Chebyshev polynomials in two variables. We show the chaoticity of this dynamical system on some closed domain and relations between the dynamics and a shift dynamical system. Besides we show that the dynamical system is related to the Sierpinsky gasket.
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Schedule a callMore From: International Journal of Bifurcation and Chaos [In Applied Sciences and Engineering]
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