On the existence of oscillatory modes in a nonlinear system with hystereses
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Publication:2195150
DOI10.1134/S0012266120080108zbMath1451.34057OpenAlexW3083229589MaRDI QIDQ2195150
R. P. Mitrev, A. S. Fursov, T. Stoilov Todorov, Piotr A. Krylov
Publication date: 7 September 2020
Published in: Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0012266120080108
Control problems involving ordinary differential equations (34H05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Hysteresis for ordinary differential equations (34C55)
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Fixed points of a mapping generated by a system of ordinary differential equations with relay hysteresis ⋮ Control design for a perturbed system with an ambiguous nonlinearity ⋮ Criterion for the existence of two-point oscillatory solution of a perturbed system with a relay ⋮ The existence of a unique fixed point of mappings generated by a multidimensional system with relay hysteresis ⋮ On one type of oscillating solutions of a second-order ordinary differential equation with a three-position hysteresis relay and a perturbation ⋮ Oscillating solutions of a second-order ordinary differential equation with a three-position hysteresis relay without entering the saturation zones ⋮ On the existence of a periodic mode in a nonlinear system
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