On the Darboux Integrability of the Hindmarsh–Rose Burster

被引：0
|
作者：
Jaume LLIBRE [1 ]
Cludia VALLS [2 ]
机构：
[1] Departament de Matemàtiques, Universitat Autònoma de Barcelona
[2] Departamento de Matem′atica, Instituto Superior Técnico,Universidade Técnica de
来源：
Acta Mathematica Sinica | 2018年 / 34卷 / 06期
关键词：
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
We study the Hindmarsh–Rose burster which can be described by the differential system = y-x3+ bx2+ I-z,  = 1-5 x2-y, z = μ(s（x-x0）-z),where b, I, μ, s, x0 are parameters. We characterize all its invariant algebraic surfaces and all its exponential factors for all values of the parameters. We also characterize its Darboux integrability in function of the parameters. These characterizations allow to study the global dynamics of the system when such invariant algebraic surfaces exist.
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页码：947 / 958
页数：12
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