A bifurcation analysis of planar nilpotent reversible systems

作者：Algaba A; Freire E; Gamero E^*; Garcia C

来源：Nonlinear Dynamics, 2017, 87(2): 835-849.

DOI：10.1007/s11071-016-3082-9

• Takens-Bogdanov bifurcation
• Reversible systems
• Teixeira singularity

In this paper, we present a bifurcation analysis for planar nilpotent reversible systems with an equilibrium point located at the origin. We study candidates for the universal unfoldings of the codimension-one non-degenerate cases, as well as a pair of codimension-two degenerate cases, and a codimension-three degenerate case, where a rich bifurcation scenario is pointed out.

• 出版日期2017-1