The existence of a unique fixed point of mappings generated by a multidimensional system with relay hysteresis

DOI10.1134/S0012266123070121zbMath1527.37023MaRDI QIDQ6094510

D. K. Potapov, Alexander M. Kamachkin, Victoria V. Yevstafyeva

Publication date: 14 September 2023

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

system of ordinary differential equationsrelay hysteresis

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Hysteresis for ordinary differential equations (34C55) Equations with nonlinear hysteresis operators (47J40)

Cites Work

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• On the existence of two-point oscillatory solutions of a perturbed relay system with hysteresis
• Synchronization in Feedback Cyclic Structures of Oscillators with Hysteresis
• Control design for a perturbed system with an ambiguous nonlinearity

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