Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
766841 | Communications in Nonlinear Science and Numerical Simulation | 2013 | 9 Pages |
Abstract
⺠Report a new explicit criterion of Hopf-Hopf bifurcation without using eigenvalues. ⺠Its equivalence to the classical criterion using eigenvalues are rigorously proved. ⺠By using it, the parameter mechanism on bifurcation may be explicitly formulated. ⺠It is preferable for bifurcation analysis in high dimension discrete time systems.
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Authors
Huidong Xu, Guilin Wen, Qixiang Qin, Huaan Zhou,