论文标题
具有1 <α<2阶的分数系统系统的显式HOPF分叉标准
An explicit Hopf bifurcation criterion of fractional-order systems with order 1 < α < 2
论文作者
论文摘要
本文建立了具有1 <α<2阶的分数系统的HOPF分叉标准，其中所有条件均通过参数明确表示，而不求解Hopf分叉条件的相关特征多项式的根源。它避免了由于多参数情况下的计算复杂性而导致现有方法可能失败的问题。可以直接获得多参数的分叉性超表面。
A Hopf bifurcation criterion of fractional-order systems with order 1 < α < 2 is established in this paper, in which all conditions are explicitly expressed by parameters without solving the roots of the relevant characteristic polynomial of Hopf bifurcation conditions. It avoids the problem that existing methods may fail due to the computational complexity in the multi-parameter situation. The bifurcation hyper-surface of multi-parameter can be obtained directly.
