A new method of dynamical stability, i.e. fractional generalized Hamiltonian method, and its applications

作者：

Highlights：

• Fractional generalized Hamiltonian method of dynamical stability is presented.

• Six criterions for the new method of dynamical stability are given.

• The new method's applications are studied.

• Five kinds of actual fractional dynamical models are constructed.

• Dynamical stability of the five actual fractional dynamical models is explored.

摘要

•Fractional generalized Hamiltonian method of dynamical stability is presented.•Six criterions for the new method of dynamical stability are given.•The new method's applications are studied.•Five kinds of actual fractional dynamical models are constructed.•Dynamical stability of the five actual fractional dynamical models is explored.

论文关键词：Fractional dynamics,Fractional generalized Hamiltonian method,Dynamical stability,Fractional dynamical model

论文评审过程：Received 28 March 2015, Revised 5 June 2015, Accepted 19 July 2015, Available online 5 August 2015, Version of Record 5 August 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.07.047