Rigorous numerics for critical orbits in the quadratic family

DOI10.1063/5.0012822zbMath1453.37077arXiv2004.13444OpenAlexW3104979158WikidataQ98203181 ScholiaQ98203181MaRDI QIDQ5129844

Stefano Luzzatto, Comlan E. Koudjinan, Paweł Pilarczyk, Ali Golmakani

Publication date: 2 November 2020

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.13444

zbMATH Keywords

algorithmsorbitscritical pointsnumerical techniquesone-dimensional maps

Mathematics Subject Classification ID

Orbit growth in dynamical systems (37C35) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items

Scaling and fine structure of superstable periodic orbits in the logistic map, Positive Lyapunov exponent for random perturbations of predominantly expanding multimodal circle maps

Uses Software

• MPFR

Cites Work

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• MPFR
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