TY  - CHAP
AU  - Kalmár-Nagy, Tamás
AU  - Wahi, P
TI  - Dynamics of a relay oscillator with hysteresis
T2  - 46th IEEE Conference on Decision and Control
PB  - IEEE
CY  - New York, New York
CY  - Piscataway (NJ)
SN  - 1424414989
T3  - Proceedings of the IEEE Conference on Decision and Control, ISSN 0743-1546
PY  - 2007
SP  - 3245
EP  - 3251
PG  - 7
DO  - 10.1109/CDC.2007.4434347
UR  - https://m2.mtmt.hu/api/publication/2836262
ID  - 2836262
AB  - The dynamics of a hysteretic relay oscillator with sinusoidal forcing is studied in this paper. Periodic excitation gives rise to periodic, quasiperiodic and chaotic responses. A Poincare map is introduced to facilitate mathematical analysis. Conditions on the amplitude and frequency of the forcing for the existence of periodic solutions have been obtained. Families of one-period solutions are determined as fixed points of the Poincare. These families of one-period solutions represent coexisting subharmonic responses. Stability analysis reveals that these solutions can be classified as center or saddle.
LA  - English
DB  - MTMT
ER  -