EXTENDED SYSTEMS FOR MULTIPLE S-BREAKING TURNING POINTS IN Z_2×Z_2-SYMMETRIC NONLINEAR PROBLEMS

摘要

Making use of the Z2×Z2 symmetry,we could study the structure near multiple S-treaking turning points.In particular,we show that there exist two kinds of singular point path through double S breaking turning points and triple S bieaking turning points,one ts quadratic turning pornt path and one is quadratic pitch fork bifurcation point path.Some simple regular extended systems to corn pute double and triple S-breaking turning points are proposed.Numerical examples are also