论文信息 - Bifurcation of Invariant cones in Piecewise Linear Homogeneous Systems

Bifurcation of Invariant cones in Piecewise Linear Homogeneous Systems

Invariant surfaces in three-dimensional continuous piecewise linear homogeneous systems with two pieces separated by a plane are detected. The Poincare map associated to this plane transforms half-straight lines passing through the origin into half-straight lines of the same type. The invariant half-straight lines under this map determine invariant cones for which the existence, stability and bifurcation are studied. This analysis lead us to consider some questions about the topological type and stability of the origin.

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