JournalsprimsVol. 27, No. 6pp. 945–952

An Algorithm for Computing a Nondegenerate Hysteresis Point

  • Hisashi Okamoto

    Kyoto University, Japan
An Algorithm for Computing a Nondegenerate Hysteresis Point cover
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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