@inproceedings{MTMT:2836262, title = {Dynamics of a relay oscillator with hysteresis}, url = {https://m2.mtmt.hu/api/publication/2836262}, author = {Kalmár-Nagy, Tamás and Wahi, P}, booktitle = {46th IEEE Conference on Decision and Control}, doi = {10.1109/CDC.2007.4434347}, unique-id = {2836262}, abstract = {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.}, year = {2007}, pages = {3245-3251}, orcid-numbers = {Kalmár-Nagy, Tamás/0000-0003-1374-2620} }