Title :
Through the looking-glass of the grazing bifurcation
Author :
Kryzhevich, S. ; Ing, J. ; Wiercigroch, M.
Author_Institution :
Fac. of Math. & Mech., St.-Petersburg State Univ., St. Petersburg, Russia
Abstract :
It is well-known that for vibro-impact systems an existence of a periodic solution with a low-velocity impact (so-called grazing) may yield a complex behavior of solutions. Slightly changing the parameters of a system with grazing, we may obtain a periodic solution which passes near the delimiter without touching it. In this paper we show that sometimes existence of these solutions can provide chaos.
Keywords :
bifurcation; chaos; chaos; grazing bifurcation looking-glass; low-velocity impact; periodic solution; solution complex behavior; solution existence; system parameter changing; vibroimpact systems; Bifurcation; Chaos; Educational institutions; Eigenvalues and eigenfunctions; Manifolds; Mathematical model; Vectors;
Conference_Titel :
Nonlinear Science and Complexity (NSC), 2012 IEEE 4th International Conference on
Conference_Location :
Budapest
Print_ISBN :
978-1-4673-2702-2
Electronic_ISBN :
978-1-4673-2701-5
DOI :
10.1109/NSC.2012.6304728
