A simple solution to the Braga-Mello conjecture
classification
🧮 math.DS
keywords
conjecturecyclesgivenlimitbragabraga-melloconjecturedconsequence
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Recently Braga and Mello conjectured that for a given natural number n there is a piecewise linear system with two zones in the plane with exactly n limit cycles. In this paper we prove a result from which the conjecture is an immediate consequence. Several explicit examples are given where location and stability of limit cycles are provided.
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