An example of a non-smooth fold bifurcation

被引:5
作者
Galvanetto, U [1 ]
机构
[1] Univ London Imperial Coll Sci Technol & Med, Dept Aeronaut, London SW7 2BY, England
关键词
bifurcation smooth systems; Floquet multipliers;
D O I
10.1023/A:1013054322554
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
According to the theory of smooth systems, a fold bifurcation occurs when a positive real Floquet multiplier crosses the unit circle. This paper demonstrates that the nonstandard fold bifurcation taking place at C = C2 is a discontinuous fold bifurcation.
引用
收藏
页码:229 / 233
页数:5
相关论文
共 3 条
[1]   Dynamics of a simple damped oscillator undergoing stick-slip vibrations [J].
Galvanetto, U ;
Bishop, SR .
MECCANICA, 1999, 34 (05) :337-347
[2]  
Guckenheimer J, 2013, APPL MATH SCI
[3]  
LEINE RI, 1999, P DETC 99 SEPT 12 15