论文信息 - A new approach for the computation of Hopf bifurcation points

A new approach for the computation of Hopf bifurcation points

A new approach is proposed to compute Hopf bifurcation points. The method could produce small extended systems and therefore could reduce the computational effort and storage. One numerical example is presented to demonstrate that the method is efficient.

Ye Ruisong | Y. Rui-song

[1] Dirk Roose,et al. A Direct Method for the Computation of Hopf Bifurcation Points , 1985 .

[2] C. Paige,et al. A Note on a Result of Sun Ji-Guang: Sensitivity of the CS and GSV Decompositions , 1984 .

[3] G. Reddien,et al. Characterization and computation of singular points with maximum rank deficiency , 1986 .

[4] Asymptotic analysis of perturbed Takens-Bogdanov points , 1991 .

[5] Dirk Roose,et al. Numerical determination of an emanating branch of Hopf bifurcation points in a two-parameter problem , 1989 .

[6] A. Griewank,et al. Characterization and Computation of Generalized Turning Points , 1984 .

[7] A. Spence,et al. A note on the calculation of paths of Hopf bifurcations , 1989 .

[8] P. Holmes,et al. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.