title: Invisible grazings and dangerous bifurcations in impacting systems: the problem of narrow-band chaos.
abstract: 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.
authors.affiliation: Department of Electrical Engineering, Indian Institute of Technology, Kharagpur 721302, India.
authors.forename: Soumitro
authors.initials: S
authors.lastname: Banerjee
authors.forename: James
authors.initials: J
authors.lastname: Ing
authors.forename: Ekaterina
authors.initials: E
authors.lastname: Pavlovskaia
authors.forename: Marian
authors.initials: M
authors.lastname: Wiercigroch
authors.forename: Ramesh K
authors.initials: RK
authors.lastname: Reddy