Collet–Eckmann condition for recurrent critical orbits implies uniform hyperbolicity on periodic orbits

DOI10.1017/S0143385706000873zbMath1137.37024OpenAlexW2155823576MaRDI QIDQ3594434

Nicolae Mihalache

Publication date: 8 August 2007

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385706000873

zbMATH Keywords

periodic orbitsCollet-Eckmann conditionrational mapuniform hyperbolicitysemi-hyperbolocity

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

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