๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Criterion of Hopf Bifurcations without Using Eigenvalues

โœ Scribed by W.M. Liu

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
198 KB
Volume
182
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Criterion of high-codimensional bifurcat
Criterion of high-codimensional bifurcations with several pairs of purely imaginary eigenvalues
โœ Zhi-Ming Wu; Wei-min Liu ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 571 KB

This paper presents a criterion for high-codimensional bifurcations with several pairs of purely imaginary eigenvalues in terms of the properties of coefficients of characteristic polynomials instead of those of eigenvalues. It uses the Routh-Hurwitz determinants and is convenient in the symbolic an

Generalized form of Hurwitz-Routh criter
Generalized form of Hurwitz-Routh criterion and Hopf bifurcation of higher order
โœ Xiaojing Yang ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 368 KB

The well-known Hurwitz-Routh criterion is generalized to critical cases. The problem of Hopf bifurcation of higher order for zeros of semistable polynomials is also discussed.

SYMBOLIC COMPUTATION OF NORMAL FORMS FOR
SYMBOLIC COMPUTATION OF NORMAL FORMS FOR RESONANT DOUBLE HOPF BIFURCATIONS USING A PERTURBATION TECHNIQUE
โœ P. YU ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 312 KB

This paper presents a perturbation method for computing the normal forms of resonant double Hopf bifurcations with the aid of a computer algebraic system. This technique, based on the method of multiple time scales, can be used to deal with general n-dimensional systems without the application of ce