Randomized trial investigates limit cycles of piecewise linear systems, suggesting new mathematical insights.
There are many papers dedicated to study the limit cycles of either continuous, or discontinuous piecewise linear differential systems separated by one straight line in the plane R² R 2 . Here by first time we shall study the limit cycles of piecewise linear differential systems separated by one straight line in the plane R² R 2 that are continuous in one component of differential system and discontinuous in the other.
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Becatti et al. (2026) studied this question.
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