当前位置: X-MOL 学术Bull. des Sci. Math. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Integrability and zero-Hopf bifurcation in the Sprott A system
Bulletin des Sciences Mathématiques ( IF 1.3 ) Pub Date : 2020-05-26 , DOI: 10.1016/j.bulsci.2020.102874
Luis Barreira , Jaume Llibre , Claudia Valls

The first objective of this paper is to study the Darboux integrability of the polynomial differential systemx˙=y,y˙=xyz,z˙=y2a and the second one is to show that for a>0 sufficiently small this model exhibits one small amplitude periodic solution that bifurcates from the origin of coordinates when a=0. This model was introduced by Hoover as the first example of a differential equation with a hidden attractor and it was used by Sprott to illustrate a differential equation having a chaotic behavior without equilibrium points, and now this system is known as the Sprott A system.



中文翻译:

Sprott A系统中的可积性和零霍夫分支

本文的首要目标是研究多项式微分系统的Darboux可积性X˙=ÿÿ˙=-X-ÿžž˙=ÿ2-一种 第二个是为了证明 一种>0 足够小,该模型表现出一个小幅度的周期解,该周期解从坐标原点分叉 一种=0。该模型是由Hoover引入的,它是带有隐藏吸引子的微分方程的第一个示例,并且由Sprott用来说明具有无平衡点的混沌行为的微分方程,现在该系统被称为Sprott A系统。

更新日期:2020-05-26
down
wechat
bug