Non-nested configuration of algebraic limit cycles in quadratic systems
Copyright policy )Non-nested configuration of algebraic limit cycles in quadratic systems
The paper is devoted to the distribution of algebraic limit cycles of a quadratic system in the plane. The main result of this work is the following one: a quadratic system cannot possess two non-nested algebraic limit cycles contained in different irreducible invariant algebraic curves. The proof is based on Darboux first integral of a special form.
- University of Lleida (UdL) Spain
- University of Lleida Spain
Polynomial differential equations, Algebraic limit cycles, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, polynomial differential equations, Hilbert's 16th problem, Symmetries, invariants of ordinary differential equations, algebraic limit cycle, quadratic system, Analysis
Polynomial differential equations, Algebraic limit cycles, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, polynomial differential equations, Hilbert's 16th problem, Symmetries, invariants of ordinary differential equations, algebraic limit cycle, quadratic system, Analysis
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