On various types of shadowing for geometric Lorenz flows

DOI10.1216/RMJ-2015-45-4-1067zbMath1352.37067arXiv1306.2061MaRDI QIDQ888102

J. E. Reis, Raquel Ribeiro, Alexander Arbieto

Publication date: 4 November 2015

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.2061

zbMATH Keywords

limit shadowingasymptotic average shadowingaverage shadowinggeometrical Lorenz flows

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

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Cites Work

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• Three-Dimensional Flows
• Metric properties of minimal solutions of discrete periodical variational problems
• Limit shadowing property
• A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix
• Deterministic Nonperiodic Flow

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