Document Zbl 07847272

Global phase portraits of the quadratic systems having a singular and irreducible invariant curve of degree 3. (English) Zbl 07847272

Int. J. Bifurcation Chaos Appl. Sci. Eng. 33, No. 1, Article ID 2350003, 54 p. (2023).

MSC:

34C05	Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
34C23	Bifurcation theory for ordinary differential equations
34C14	Symmetries, invariants of ordinary differential equations
34C07	Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert’s 16th problem and ramifications) for ordinary differential equations
34A26	Geometric methods in ordinary differential equations

Keywords:

Poincaré disk; global phase portrait; singular curve; cubic curve; polycycles; canonical regions; separatrices

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References:

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