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Chaos of the Chebyshev polynomial. (Chinese. English summary) Zbl 0866.58044

Summary: We prove the chaos of the Chebyshev polynomial in the interval \([-1,1]\) by means of the topologically conjugate.

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)