THE DYNAMICAL SYSTEMS ASSOCIATED WITH CHEBYSHEV POLYNOMIALS IN TWO VARIABLES
1996 ◽
Vol 06
(12b)
◽
pp. 2611-2618
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Keyword(s):
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.
2013 ◽
Vol 50
(4)
◽
pp. 509-522
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2007 ◽
Vol 5
◽
pp. 195-200
1989 ◽
Vol 03
(15)
◽
pp. 1185-1188
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1998 ◽
Vol 18
(2)
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pp. 471-486
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