TY  - JOUR
AU  - Kalmár-Nagy, Tamás
AU  - Stépán, Gábor
AU  - Moon, FC
TI  - Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations
JF  - NONLINEAR DYNAMICS
J2  - NONLINEAR DYNAM
VL  - 26
PY  - 2001
IS  - 2
SP  - 121
EP  - 142
PG  - 22
SN  - 0924-090X
DO  - 10.1023/A:1012990608060
UR  - https://m2.mtmt.hu/api/publication/106051
ID  - 106051
N1  - Export Date: 29 November 2019            
            CODEN: NODYE
AB  - We show the existence of a subcritical Hopf bifurcation in the delay-differential equation model of the so-called regenerative machine tool vibration. The calculation is based on the reduction of the infinite-dimensional problem to a two-dimensional center manifold. Due to the special algebraic structure of the delayed terms in the nonlinear part of the equation, the computation results in simple analytical formulas. Numerical simulations gave excellent agreement with the results.
LA  - English
DB  - MTMT
ER  -