Open AccessA Study on the double crisis vertex in a twoparameter plane*
Author(s) -
Hong-Shi Ling,
Jianxue Xu
Publication year - 2002
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.51.2694
Subject(s) - vertex (graph theory) , physics , perturbation (astronomy) , plane (geometry) , statistical physics , mathematics , quantum mechanics , geometry , combinatorics , graph
By means of GCMD method, a double crisis of sinusoidally forced oscillators is studied. A double crisis vertex in a two-parameter plane is determined, at which two curves of boundary crisis and two curves of interior crisis meet and four distinct crises coincide. Physically, small parameter perturbation (noise) about such a vertex induces drastic changes in the dynamical behaviour.