Invisible grazings and dangerous bifurcations in impacting systems: the problem of narrow-band chaos.
We discovered a narrow band of chaos close to the grazing condition for a simple soft impact oscillator. The phenomenon was observed experimentally for a range of system parameters. Through numerical stability analysis, we argue that this abrupt onset to chaos is caused by a dangerous bifurcation in which two unstable period-3 orbits, created at "invisible" grazings, take part.
Banerjee
Soumitro
S
Department of Electrical Engineering, Indian Institute of Technology, Kharagpur 721302, India.
Ing
James
J
Pavlovskaia
Ekaterina
E
Wiercigroch
Marian
M
Reddy
Ramesh K
RK