Dynamics of Solutions of a Class of Piecewise Linear Difference Equations With Hysteresis

Key Points

• 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.