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March 3, 2026
Dynamics of Solutions of a Class of Piecewise Linear Difference Equations With Hysteresis
AA
Abdyvali Akbergenov
AD
Anatolii Dvornyk
OR
Olena Romanenko
Puntos clave
The solution dynamics demonstrate significant variability, influenced by hysteresis in the model.
Key evidence shows that solutions can oscillate between stable and unstable states across a range of parameters.
Analysis of mathematical models highlights the impact of piecewise linearity on solution behavior.
This work implies a need for further exploration of hysteresis effects on dynamic systems.
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Akbergenov et al. (Wed,) studied this question.
synapsesocial.com/papers/69a76094c6e9836116a2d77b
https://doi.org/https://doi.org/10.1007/s10958-026-08214-8
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Dynamics of Solutions of a Class of Piecewise Linear Difference Equations With Hysteresis | Synapse