An algebraic formula for the topological types of one parameter bifurcation diagrams

Author:

Nishimura Takashi,Fukuda Takuo,Aoki Kenji

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference12 articles.

1. K. Aoki, T. Fukuda & T. Nishimura, On the number of branches of the zero locus of a map-germ (R n , 0)?(R n ?1, 0), InTopology and Computer Science: Proceedings of the Symposium held in honour of Shin'ichi Kinoshita, Hiroshi Noguchi and Tatsuo Homma on the occasion of their sixtieth birthdays, June 1987, Kinokuniva, 347?363.

2. D. Eisenbud, An algebraic approach to the topological degree of a smooth map, Bull. A.M.S.,84 (1978), 751?764.

3. D. Eisenbud &H. I. Levine, An algebraic formula for the degree of aC ? map-germ, Ann. Math.106 (1977), 19?38.

4. T. Fukuda, K. Aoki &W. Z. Sun, On the number of branches of a plane curve germ, Kodai Math. J.9 (1986), 179?187.

5. M. Golubitsky &D. Schaeffer, A theory for imperfect bifurcation via singularity theory, Comm. Pure Appl. Math.32 (1979), 21?98.

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