Degenerate Hopf Bifurcation in a Special 3D Chaotic System
ZHU Dao-yu
Abstract:The dynamical behavior of a special 3D chaotic system is studied .Hopf bifurcation and degen-erate Hopf bifurcation are discussed by computing the first and second Lyapunov coefficients associated to a nonhyperbolic equilibruim ,which gives an analytical proof of the mechanism for the birth of two different types of attractors .
Keywords:stabilitylimit cyclenonhyperbolicHopf bifurcation
Publication Date:2014-01-01
Online Publishing Date:2025-08-15(First online date of this platform, not the publication date of the document)
Pages:3( 75-77 )
