@article{MTMT:3422139, title = {A Nonlinear Delay-Differential Equation with Harmonic Excitation}, url = {https://m2.mtmt.hu/api/publication/3422139}, author = {Lelkes, János and Kalmár-Nagy, Tamás}, doi = {10.1016/j.ifacol.2018.07.227}, journal-iso = {IFACOL}, journal = {IFAC PAPERSONLINE}, volume = {51}, unique-id = {3422139}, year = {2018}, eissn = {2405-8963}, pages = {224-229}, orcid-numbers = {Lelkes, János/0000-0002-6205-4923; Kalmár-Nagy, Tamás/0000-0003-1374-2620} } @article{MTMT:3273043, title = {On the analysis of the double Hopf bifurcation in machining processes via center manifold reduction}, url = {https://m2.mtmt.hu/api/publication/3273043}, author = {Molnár, Tamás Gábor and Dombóvári, Zoltán and Insperger, Tamás and Stépán, Gábor}, doi = {10.1098/rspa.2017.0502}, journal-iso = {PROC A MATH PHYS ENG SCI}, journal = {PROCEEDINGS OF THE ROYAL SOCIETY A: MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES}, volume = {473}, unique-id = {3273043}, issn = {1364-5021}, year = {2017}, eissn = {1471-2946}, orcid-numbers = {Molnár, Tamás Gábor/0000-0002-9379-7121; Dombóvári, Zoltán/0000-0003-2591-3220; Insperger, Tamás/0000-0001-7518-9774; Stépán, Gábor/0000-0003-0309-2409} } @book{MTMT:1629264, title = {Semi-Discretization for Time-Delay Systems. Stability and Engineering Applications}, url = {https://m2.mtmt.hu/api/publication/1629264}, isbn = {9781461403340}, author = {Insperger, Tamás and Stépán, Gábor}, doi = {10.1007/978-1-4614-0335-7}, publisher = {Springer London, Ltd}, unique-id = {1629264}, abstract = {The book presents the recently introduced and already widely cited semi-discretization method for the stability analysis of delayed dynamical systems with parametric excitation. Delay-differential equations often come up in different fields of engineering, such as feedback control systems, machine tool vibrations, and balancing/stabilization with reflex delay. The behavior of such systems is often counter-intuitive and closed form analytical formulas can rarely be given even for the linear stability conditions. The same holds for parametrically excited systems. If parametric excitation is coupled with the delay effect, then the governing equation is a delay-differential equation with time-periodic coefficients, and the stability properties are even more intriguing. The semi-discretization method is a simple but efficient method that is based on the discretization with respect to the delayed term and the periodic coefficients only. This discretization results in a system of ordinary differential equations that can be solved using standard techniques, which are part of basic engineering curriculums. The method can effectively be used to construct stability charts in the space of system parameters. These charts provide a useful tool for engineers, since they present an overview on the effects of system parameters on the local dynamics of the system. The book presents the application of the method to different engineering problems, such as dynamics of turning and milling processes with constant and with varying spindle speeds, stick balancing with reflex delay, force control processes in the presence of feedback delay, and stabilization using time-periodic control gains. The book is designed for graduate and PhD students as well as researchers working in the field of delayed dynamical systems with application to mechanical, electrical and chemical engineering, control theory, biomechanics, population dynamics, neuro-physiology, and climate research.}, year = {2011}, orcid-numbers = {Insperger, Tamás/0000-0001-7518-9774; Stépán, Gábor/0000-0003-0309-2409} } @article{MTMT:2827251, title = {High-dimensional harmonic balance analysis for second-order delay-differential equations}, url = {https://m2.mtmt.hu/api/publication/2827251}, author = {Liu, Liping and Kalmár-Nagy, Tamás}, doi = {10.1177/1077546309341134}, journal-iso = {J VIB CONTROL}, journal = {JOURNAL OF VIBRATION AND CONTROL}, volume = {16}, unique-id = {2827251}, issn = {1077-5463}, year = {2010}, eissn = {1741-2986}, pages = {1189-1208}, orcid-numbers = {Kalmár-Nagy, Tamás/0000-0003-1374-2620} } @article{MTMT:1114361, title = {Exploration of the chaotic phenomena induced by fast plastic deformation of metals}, url = {https://m2.mtmt.hu/api/publication/1114361}, author = {Csernák, Gábor and Pálmay, Zoltán}, doi = {10.1007/s00170-007-1348-6}, journal-iso = {INT J ADV MANUFACT TECHNOL}, journal = {INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY}, volume = {40}, unique-id = {1114361}, issn = {0268-3768}, year = {2009}, eissn = {1433-3015}, pages = {270-276}, orcid-numbers = {Csernák, Gábor/0000-0001-9559-761X} } @article{MTMT:2669924, title = {Chip formation as an oscillator during the turning process}, url = {https://m2.mtmt.hu/api/publication/2669924}, author = {Pálmay, Zoltán and Csernák, Gábor}, doi = {10.1016/j.jsv.2009.05.028}, journal-iso = {J SOUND VIB}, journal = {JOURNAL OF SOUND AND VIBRATION}, volume = {326}, unique-id = {2669924}, issn = {0022-460X}, year = {2009}, eissn = {1095-8568}, pages = {809-820}, orcid-numbers = {Csernák, Gábor/0000-0001-9559-761X} } @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} } @inbook{MTMT:1002656, title = {Delay-differential equation models for machine tool chatter}, url = {https://m2.mtmt.hu/api/publication/1002656}, author = {Stépán, Gábor}, booktitle = {Dynamics and Chaos in Manufacturing Processes}, unique-id = {1002656}, year = {1998}, pages = {165-192}, orcid-numbers = {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} }