TY  - JOUR
AU  - Csernák, Gábor
AU  - Stépán, Gábor
TI  - Digital control as source of chaotic behavior
JF  - INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
J2  - INT J BIFURCAT CHAOS
VL  - 20
PY  - 2010
IS  - 5
SP  - 1365
EP  - 1378
PG  - 14
SN  - 0218-1274
DO  - 10.1142/S0218127410026538
UR  - https://m2.mtmt.hu/api/publication/1361213
ID  - 1361213
AB  - In the present paper, we introduce and analyze a mechanical system, in which the digital implementation of a linear control loop may lead to chaotic behavior. The amplitude of such oscillations is usually very small, this is why these are called micro-chaotic vibrations. As a consequence of the digital effects, i.e. the sampling, the processing delay and the round-off error, the behavior of the system can be described by a piecewise linear map, the micro-chaos map. We examine a 2D version of the micro-chaos map and prove that the map is chaotic. © 2010 World Scientific Publishing Company.
LA  - English
DB  - MTMT
ER  -