Solutions of Stable Difference Equations Probably Experience Peak

We consider a class of well-known high-order trinomial linear difference equations and analyze the non-asymptotic behavior of their solutions under non-zero initial conditions from the unit box. It is shown that, for certain subsets of coefficients in the stability domain, there always exist initial conditions leading to peak, a large deviation of solutions from the equilibrium position, and that these deviations may take arbitrarily large values. Various special cases are studied, numerical examples are presented.

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Analysis of Peak Effects of Solutions of a Class of Difference Equations

Shcherbakov

2024

Avtomatika i telemehanika

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Solutions of Stable Difference Equations Probably Experience Peak

Cited by 3 publications

References 20 publications

Analysis of Peak Effects in the Solutions of a Class of Difference Equations

Analysis of Peak Effects in the Solutions of a Class of Difference Equations

Analysis of Peak Effects in the Solutions of a Class of Difference Equations

Analysis of Peak Effects of Solutions of a Class of Difference Equations

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