Local \(C^{\infty}\) conjugacy on the Julia set for some holomorphic perturbations of \(z\to z^ 2\)

zbMath0558.30028MaRDI QIDQ762646

Pierre Collet

Publication date: 1984

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

periodic orbitsconjugacyJulia set\(C^{\infty }\)-diffeomorphism

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05)

Related Items (2)

On the dynamics of polynomial-like mappings ⋮ Invariants for smooth conjugacy of hyperbolic dynamical systems. II

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