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DOUBLE HIGH ORDER S-BREAKING BIFURCATION POINTS AND THEIR NUMERICAL DETERMINATION

DOUBLE HIGH ORDER S-BREAKING BIFURCATION POINTS ANDTHEIR NUMERICAL DETERMINATION
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摘要 We consider double high order S-breaking bifurcation points of two-Parameter dependent nonlinear problems with Z_2×Z_2-symmetry. Because of the underlying symmetry we could propose some regular extended systems to determine double high order S-breaking bifurcation points. and we could also show that there exist two quadratic pitchfork bifurcation point paths passing through the point being considered. We consider double high order S-breaking bifurcation points of two-Parameter dependent nonlinear problems with Z_2×Z_2-symmetry. Because of the underlying symmetry we could propose some regular extended systems to determine double high order S-breaking bifurcation points. and we could also show that there exist two quadratic pitchfork bifurcation point paths passing through the point being considered.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1996年第7期633-646,共14页 应用数学和力学(英文版)
关键词 Z_2× Z_2-symmetry. double high order S-breaking bifurcation point. extended system Z_2× Z_2-symmetry. double high order S-breaking bifurcation point. extended system
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