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math.DS2022
Dynamics of Chebyshev endomorphisms on some affine algebraic varieties
Keisuke Uchimura
Chebyshev polynomials in one variable are typical chaotic maps on the complex 1-space. Chebyshev endomorphisms f on the complex n-space A are also chaotic. The endomorphisms f indu…
math.DS2016★ 4 cited
Holomorphic endomorphisms of P^3(C) related to a Lie algebra of type A_3 and catastrophe theory
Keisuke Uchimura
Chebyshev maps in the complex plane are typical chaotic maps. Veselov generalized these map. We consider a class of those maps and view them as holomorphic endomorphisms on the 3-d…