Generalized autoregression and the analysis of dynamical processes

DOI10.1016/0307-904X(95)00162-DzbMath0844.62077WikidataQ126422888 ScholiaQ126422888MaRDI QIDQ1913063

A. D. Irving, T. Dewson

Publication date: 1 September 1996

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

chaosresponse functionsaveragingnonlinear oscillatornonlinear responsemoment hierarchychaotic sequencenonlinear autoregressiondelayed logistic mapconvolution series expansionnoiseless deterministic mappingsWolf's annual sunspot number

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Applications of statistics (62P99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Extracting qualitative dynamics from experimental data
• Nonlinear prediction of chaotic time series
• Stochastic sensitivity analysis
• Disordered fluid motion in a small closed system
• Measuring dynamical noise in dynamical systems
• Quantitative universality for a class of nonlinear transformations
• Diffusion by amplitude modulation in Hamiltonian systems
• Representations of non-linear systems: the NARMAX model