Accuracy analysis of statistical linearization methods applied to nonlinear dynamical systems

DOI10.1016/0034-4877(96)82479-7zbMath0883.45008OpenAlexW2053355532MaRDI QIDQ1372452

Jerzy Skrzypczyk

Publication date: 12 January 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(96)82479-7

zbMATH Keywords

dynamical systemsnonlinear integral equationsharmonic analysisBanach algebraslocally compact Abelian groupsstatistical linearization methods

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Abstract integral equations, integral equations in abstract spaces (45N05) Stochastic integral equations (60H20) Analysis on specific locally compact and other abelian groups (43A70)

Cites Work

• Integral equations and inequalities of Volterra type for functions defined in partially ordered spaces
• Modified stochastic linearization technique for colored noise excitation of Duffing oscillator
• Hysteretic structural vibrations under random load
• On the Problem of the Equivalence of Probability Measures Corresponding to Stationary Gaussian Processes
• On non-compact groups I. Classification of non-compact real simple Lie groups and groups containing the Lorentz group
• Group representations and applied probability
• Analysis of Statistical Linearization of Nonlinear Control Systems
• A Generalized Transform Theory for Causal Operators
• A Hilbert Space Stability Theory over Locally Compact Abelian Groups
• On a random Volterra integral equation
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