Topological Computation Analysis of Meteorological Time-Series Data

DOI10.1137/18M1184746zbMath1428.37086arXiv1805.03059OpenAlexW2963484839WikidataQ127679487 ScholiaQ127679487MaRDI QIDQ5238227

Hidetoshi Morita, Masaru Inatsu, Hiroshi Kokubu

Publication date: 28 October 2019

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.03059

zbMATH Keywords

noisemeteorologyMorse decompositiontime-series

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Meteorology and atmospheric physics (86A10) Time series analysis of dynamical systems (37M10) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35)

Related Items

Persistence of Morse decompositions over grid resolution for maps and time series, Persistence of Conley--Morse Graphs in Combinatorial Dynamical Systems, Continuation sheaves in dynamics: sheaf cohomology and bifurcation, Creating semiflows on simplicial complexes from combinatorial vector fields

Uses Software

• AUTO
• AUTO-86
• GAIO

Cites Work

• A study of rigorous ODE integrators for multi-scale set-oriented computations
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• An algorithmic approach to chain recurrence
• Combinatorial-topological framework for the analysis of global dynamics
• Generic Observability of Differentiable Systems
• A Database Schema for the Analysis of Global Dynamics of Multiparameter Systems
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