西北师范大学学报（自然科学版）2017，Vol.53Issue(4)：12-16,22,6.DOI:10.16783/j.cnki.nwnuz.2017.04.003
心脏搏动模型的Hopf分岔
Hopf bifurcation to models of reactions of human heart
摘要
Abstract
In order to understand the complicated dynamics of cardiac autonomic activity , the Hopf bifurcation to models of reactions of human heart under the action of external force and parametric noise is investigated in detail and deeply . First , the conditions of the existence of Hopf bifurcation to system are obtained . Second , the direction of Hopf bifurcation , the stability of bifurcating period solutions and the expression of the bifurcating periodic solution are rigorous derived and studied by means of complex normal form theory . Finally , numerical simulations are performed to justify theoretical analysis .关键词
心脏搏动模型/稳定性/Hopf分岔/周期解/复规范型理论Key words
models of reactions of human heart/stability/Hopf bifurcation/periodic solution/complex normal form theory分类
数理科学引用本文复制引用
李丽洁,冯瑜,刘永建..心脏搏动模型的Hopf分岔[J].西北师范大学学报（自然科学版）,2017,53(4):12-16,22,6.基金项目
国家自然科学基金资助项目(11561069,11361068) （11561069,11361068）
广西自治区自然科学基金资助项目(2016GXNSFBA380170,2015GXNSFAA139002) （2016GXNSFBA380170,2015GXNSFAA139002）
广西自治区高校复杂系统优化与大数据处理重点实验室开放基金资助项目(2015CSOBDP0202) （2015CSOBDP0202）
