TY - JOUR
T1 - Higher Order Folds in Nonlinear Problems with Several Parameters
AU - Yang , Zhong-Hua
JO - Journal of Computational Mathematics
VL - 3
SP - 262
EP - 278
PY - 1989
DA - 1989/07
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9476.html
KW - 
AB - <p style="text-align: justify;">In this paper the results in [5] and [6] related to two-parameter nonlinear problems and computing the folds of degree 3 are generalized to any n-parameter nonlinear problems. Constructing a repeatedly extended system for an n-parameter nonlinear problem we prove that a fold of degree n+1 corresponds to a regular solution of its n-th extended system. Also, the equivalence between the n-th extended system and its reduced system is proved. Finally, some examples are computed.</p>