COMMUTATORS AND LINEARIZATIONS OF ISOCHRONOUS CENTRES
COMMUTATORS AND LINEARIZATIONS OF ISOCHRONOUS CENTRES
The authors study isochronous centers of some classes of plane differential systems. They consider systems with constant angular speed, both with homogeneous and nonhomogeneous nonlinearities, and show how to construct linearizations and first integrals to such systems, if a commutator is known. The obtained results are used to prove the isochronicity of some classes of centers and to find first integrals to a class of Liénard equations with isochronous centers.
- Polytechnic University of Turin Italy
- University of Trento Italy
Liénard system, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Lie brackets; linearization; commutator; center, isochronous center
Liénard system, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Lie brackets; linearization; commutator; center, isochronous center
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