Bogdanov–Takens and triple zero bifurcations in general differential systems with m delays | Zendy

Xia Liu | Zendy; Jingling Wang | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Bogdanov–Takens and triple zero bifurcations in general differential systems with m delays

Author(s) -

Xia Liu,

Jingling Wang

Publication year - 2016

Publication title -

nonlinear analysis modelling and control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.734

H-Index - 32

eISSN - 2335-8963

pISSN - 1392-5113

DOI - 10.15388/na.2016.6.1

Subject(s) - center manifold , zero (linguistics) , mathematics , manifold (fluid mechanics) , differential (mechanical device) , bifurcation , mathematical analysis , control theory (sociology) , pure mathematics , computer science , physics , hopf bifurcation , nonlinear system , engineering , control (management) , philosophy , artificial intelligence , mechanical engineering , linguistics , quantum mechanics , thermodynamics

. This paper mainly concerns the derivation of the normal forms of the Bogdanov–Takens (BT) and triple zero bifurcations for differential systems with m discrete delays. The feasible algorithms to determine the existence of the corresponding bifurcations of the system at the origin are given. By using center manifold reduction and normal form theory, the coefficient formulas of normal forms are derived and some examples are presented to illustrate our main results.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research