@article{MTMT:1361213,
	title = {Digital control as source of chaotic behavior},
	url = {https://m2.mtmt.hu/api/publication/1361213},
	author = {Csernák, Gábor and Stépán, Gábor},
	doi = {10.1142/S0218127410026538},
	journal-iso = {INT J BIFURCAT CHAOS},
	journal = {INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS},
	volume = {20},
	unique-id = {1361213},
	issn = {0218-1274},
	abstract = {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.},
	year = {2010},
	eissn = {1793-6551},
	pages = {1365-1378},
	orcid-numbers = {Csernák, Gábor/0000-0001-9559-761X; Stépán, Gábor/0000-0003-0309-2409}
}