Title :
Symbolic Computation for a Class Vector Field with Double Resonance Hopf Bifurcation
Author :
Wang, Yunhai ; Han, Jinglong
Author_Institution :
Inst. of Vibration Eng. Res., Nanjing Univ. of Aeronaut. & Astronaut., Nanjing
Abstract :
In this paper, by applying a reversible linear transform and a near-identity transformation, we obtain a simplest normal form for a class vector fields with double bifurcation. We have implemented an algorithm in Maple 12 and obtained an example of the further reduced normal forms up to some finite order.
Keywords :
bifurcation; symbol manipulation; transforms; class vector field; double resonance Hopf bifurcation; near-identity transformation; reversible linear transform; symbolic computation; Aerodynamics; Bifurcation; Differential equations; Eigenvalues and eigenfunctions; Jacobian matrices; Limit-cycles; Nonlinear dynamical systems; Resonance; Space technology; Vectors; Maple; Symbolic Computation;
Conference_Titel :
Electronic Computer Technology, 2009 International Conference on
Conference_Location :
Macau
Print_ISBN :
978-0-7695-3559-3
DOI :
10.1109/ICECT.2009.12
