Symbolic software development for computing the normal form of double Hopf bifurcation-Reference-Cited by-同舟云学术

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Symbolic software development for computing the normal form of double Hopf bifurcation

Published:1999-05 Issue:9 Volume:29 Page:49-70
ISSN:0895-7177
Container-title:Mathematical and Computer Modelling
language:en
Short-container-title:Mathematical and Computer Modelling

Author:

Bi Q.S.,Yu P.

Publisher

Elsevier BV

Subject

Computer Science Applications,Modeling and Simulation

Reference16 articles.

1. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields;Guckenheimer,1983

2. Methods of Normal Forms;Nayfeh,1993

3. Introduction to Applied Nonlinear Dynamical System and Chaos;Wiggins,1990

4. Normal Forms and Bifurcation of Planar Vector Fields;Chow,1994

5. Computation of normal forms via a perturbation technique;Yu;Journal of Sound and Vibration,1998

Cited by 13 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Normal forms of double Hopf oscillators with radial nonlinearities;Physica D: Nonlinear Phenomena;2023-11

2. Normal Form and Unfolding of Vector Field with Codimension-3 Triple Hopf Bifurcation;International Journal of Bifurcation and Chaos;2023-09-30

3. The infinite level normal forms for non-resonant double Hopf singularities;Systems & Control Letters;2023-06

4. Leaf-Normal Form Classification for n-Tuple Hopf Singularities;Communications in Mathematical Physics;2022-09-01

5. Computation of the normal form as well as the unfolding of the vector field with zero-zero-Hopf bifurcation at the origin;Mathematics and Computers in Simulation;2021-12

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