Limit cycles for planar piecewise linear differential systems via first integrals
Copyright policy )Limit cycles for planar piecewise linear differential systems via first integrals
Using first integrals, the authors provide an alternative way to the Poincaré map in order to study the limit cycles of piecewise linear differential systems. As an application of the method developed here, the authors show that a usual relaxation oscillation phenomenon occurs in a two-parameter family of planar piecewise linear vector fields.
limit cycles, piecewise linear differential systems, Explicit solutions, first integrals of ordinary differential equations, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
limit cycles, piecewise linear differential systems, Explicit solutions, first integrals of ordinary differential equations, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
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