Propagation of round-off error in a model of quadratic rational rotations.

DOI10.1016/S1007-5704(03)00039-XzbMath1035.37030OpenAlexW1971632214MaRDI QIDQ1406797

Sangtian Liu, J. H. Lowenstein

Publication date: 7 September 2003

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(03)00039-x

zbMATH Keywords

anomalous transportround-off errorspseudochaosplanar rotation

Mathematics Subject Classification ID

Combinatorial dynamics (types of periodic orbits) (37E15) Approximation methods and numerical treatment of dynamical systems (37M99)

Cites Work

• Embedding dynamics for round-off errors near a periodic orbit
• Anomalous transport in a model of Hamiltonian round-off
• Quadratic rational rotations of the torus and dual lattice maps
• Quasi-periodicity, global stability and scaling in a model of Hamiltonian round-off
• Chaotic transmission of waves and “cooling” of signals
• Weak mixing and anomalous kinetics along filamented surfaces

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