On periodic orbits of polynomial relay systems
Alain Jacquemard Weber Flávio Pereira
We present an algorithm which determines global conditions for a class of discontinuous vector fields in 4D (called polynomial relay systems) to have periodic orbits. We present explicit results relying on constructive proofs, which involve classical Effective Algebraic Geometry algorithms.
keywords: semi-algebraic sets. discontinuous differential equations periodic orbits

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