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Introduction Item: Title: 2. Definitions and useful results Item: Title: 3. Poincaré compactification Item: Title: 4. Markus-Neumann-Peixoto theorem Item: Title: 5. Local phase portrait of finite and infinite singular points Children: Item: Title: Case 1: p(x) has two distinct reals roots Item: Title: Case 2: p(x) has a double real root Item: Title: Case 3: p(x) has only one real root Item: Title: Case 4: p(x) is constant Item: Title: Case 5: p(x) has two complex conjugated roots Item: Title: 6. 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