Periodic orbits for real planar polynomial vectors fields of degree n having n invariant straight lines taking into account their multiplicities
Copyright policy )Periodic orbits for real planar polynomial vectors fields of degree n having n invariant straight lines taking into account their multiplicities
We study the existence and non-existence of periodic orbits and limit cycles for planar polynomial differential systems of degree n having n real invariant straight lines taking into account their multiplicities. The polynomial differential systems with n=1,2,3 are completely characterized.
Agraïments: The second author is supported by the Swedish Research Council (VR Grant 2010/5905).
QA Mathematics / matematika, limit cycles, invariant straight lines, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Nonlinear ordinary differential equations and systems, polynomial differential systems, 510, periodic orbits, Invariant straight lines, Limit cycles, Periodic orbit, polynomial vector fields, Polynomial differential systems, QA1-939, Symmetries, invariants of ordinary differential equations, Invariant manifolds for ordinary differential equations, Polynomial vector fields, Mathematics
QA Mathematics / matematika, limit cycles, invariant straight lines, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Nonlinear ordinary differential equations and systems, polynomial differential systems, 510, periodic orbits, Invariant straight lines, Limit cycles, Periodic orbit, polynomial vector fields, Polynomial differential systems, QA1-939, Symmetries, invariants of ordinary differential equations, Invariant manifolds for ordinary differential equations, Polynomial vector fields, Mathematics
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