Center-focus and isochronous center problems for discontinuous differential equations
Copyright policy )Center-focus and isochronous center problems for discontinuous differential equations
The authors study planar systems with a line of discontinuities. They use a geometrical proof to show a relation between the order of degeneracy of the critical point (\((m,k)\)-monodromic point) of the discontinuous differential equations and the degeneracy of the associated two smooth component differential equations.
center-focus, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Discontinuous ordinary differential equations, line of discontinuity, order of degeneracy, planar systems
center-focus, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Discontinuous ordinary differential equations, line of discontinuity, order of degeneracy, planar systems
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