Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707382 | Applied Mathematics Letters | 2016 | 7 Pages |
Abstract
In this paper we present a new method for the equilibrium stability of a dynamical system, i.e., the fractional generalized Hamilton method. We reveal the uncertainty and its mathematical representation for the fractional and nonlinear problem and find a general method of constructing a family of fractional dynamical models. And, six criterions of fractional generalized Hamilton method of equilibrium stability are presented. As applications, we explore the equilibrium stability of a fractional Duffing oscillator model and a fractional Whittaker model.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Shao-Kai Luo, Jin-Man He, Yan-Li Xu, Xiao-Tian Zhang,