@inproceedings{MTMT:2836277, title = {A novel method for efficient numerical stability analysis of delay-differential equations}, url = {https://m2.mtmt.hu/api/publication/2836277}, author = {Kalmár-Nagy, Tamás}, booktitle = {ACC: Proceedings of the 2005 American Control Conference, Vols 1-7}, doi = {10.1109/ACC.2005.1470397}, unique-id = {2836277}, year = {2005}, pages = {2823-2826}, orcid-numbers = {Kalmár-Nagy, Tamás/0000-0003-1374-2620} } @article{MTMT:1148732, title = {Semi-discretization method for delayed systems}, url = {https://m2.mtmt.hu/api/publication/1148732}, author = {Insperger, Tamás and Stépán, Gábor}, doi = {10.1002/nme.505}, journal-iso = {INT J NUMER METH ENG}, journal = {INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING}, volume = {55}, unique-id = {1148732}, issn = {0029-5981}, abstract = {The paper presents an efficient numerical method for the stability analysis of linear delayed systems. The method is based on a special kind of discretization technique with respect to the past effect only. The resulting approximate system is delayed and also time periodic, but still, it can be transformed analytically into a high-dimensional linear discrete system. The method is applied to determine the stability charts of the Mathieu equation with continuous time delay. Copyright (C) 2002 John Wiley Sons, Ltd.}, year = {2002}, eissn = {1097-0207}, pages = {503-518}, orcid-numbers = {Insperger, Tamás/0000-0001-7518-9774; Stépán, Gábor/0000-0003-0309-2409} } @article{MTMT:106051, title = {Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations}, url = {https://m2.mtmt.hu/api/publication/106051}, author = {Kalmár-Nagy, Tamás and Stépán, Gábor and Moon, FC}, doi = {10.1023/A:1012990608060}, journal-iso = {NONLINEAR DYNAM}, journal = {NONLINEAR DYNAMICS}, volume = {26}, unique-id = {106051}, issn = {0924-090X}, abstract = {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.}, year = {2001}, eissn = {1573-269X}, pages = {121-142}, orcid-numbers = {Kalmár-Nagy, Tamás/0000-0003-1374-2620; Stépán, Gábor/0000-0003-0309-2409} } @book{MTMT:1002286, title = {Retarded Dynamical Systems. Stability and Characteristic Functions}, url = {https://m2.mtmt.hu/api/publication/1002286}, isbn = {0470213353}, author = {Stépán, Gábor}, publisher = {Longman Scientific & Technical}, unique-id = {1002286}, year = {1989}, orcid-numbers = {Stépán, Gábor/0000-0003-0309-2409} }