Mathematical modeling of quadratically nonlinear spatially distributed systems. I: The case of discretely defined initial-boundary external-dynamic perturbations

DOI10.1007/S10559-021-00399-XzbMath1478.93437OpenAlexW3203213322MaRDI QIDQ2058691

V. A. Stoyan

Publication date: 9 December 2021

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-021-00399-x

zbMATH Keywords

spatially distributed dynamical systemspseudo-solutionsill-posed initial-boundary-value problemsmathematical modeling of dynamical systemssystems with uncertainties

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Perturbations in control/observation systems (93C73) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (3)

Mathematical modeling of quadratically nonlinear spatially distributed systems. II: The case of continuously defined initial-boundary external-dynamic perturbations ⋮ Mathematical modeling of spatially distributed systems polynomially dependent on linear differential transformations of the state function ⋮ Mathematical modeling of the state of dynamical multiplicatively nonlinear systems

Cites Work

• Analytical representations of matrix and integral linear transformations
• Constructing integral mathematical models of two classes of nonlinear spatially distributed systems. II: The case of continuously defined external-dynamic perturbations
• Constructing integral mathematical models of two classes of nonlinear spatially distributed systems. I: The case of discretely defined external-dynamic perturbations
• Methods of linear algebra in the analysis of certain classes of nonlinear discretely transformative systems. I: Multiplicative nonlinear systems
• Methods of linear algebra in the analysis of certain classes of nonlinear discretely transformative systems. II: Systems with additively selected nonlinearity
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