# An Algorithm for Computing a Nondegenerate Hysteresis Point

### Hisashi Okamoto

Kyoto University, Japan

## Abstract

We propose an algorithm for computing nondegenerate hysteresis points arising in bifurcation problems with two parameters such as *G*:* R2 x RN →R RN. A combination of methods in [5] and [7] requires finding zeros of an extended system of 4_N+3 variables. Shintani and Kanda [6] proposes another algorithm, in which computation of extended system of 3_N*+3 variables is sufficient. On the contrary, in our algorithm, we should find zeros of another extended system of 3_N_+2 variables.

## Cite this article

Hisashi Okamoto, An Algorithm for Computing a Nondegenerate Hysteresis Point. Publ. Res. Inst. Math. Sci. 27 (1991), no. 6, pp. 945–952

DOI 10.2977/PRIMS/1195169006