Preprints

  • R. Szalai, K.T. Tsaneva-Atanasova, A.R. Champneys, M.E. Homer, H.J. Kennedy, N.P. Cooper, Nonlinear models of development, amplification and compression in the mammalian cochlea, submitted (2011). [pdf]
  • R. Szalai, B. Epp, A.R. Champneys, M. Homer, On time-delayed and feed-forward transmission line models of the cochlea, accepted (2010). [pdf]
  • J. Sieber, R. Szalai, Characteristic matrices for linear periodic delay differential equations, accepted (2010). [pdf]
  • Journal papers

  • R. Szalai, G. Stépán, Period doubling bifurcation and center manifold reduction in a time-periodic and time-delayed model of machining, Journal of Vibration and Control 16(7-8), 1169-1187 (2010). [pdf]
  • R. Szalai, Hinke M. Osinga, Arnol'd tongues arising from a grazing-sliding bifurcation , SIAM Journal on Applied Dynamical Systems 8(4), 1434-1461 (2009). [pdf]
  • G. Orosz, R. E. Wilson, R. Szalai, G. Stépán, Exciting traffic jams: Nonlinear phenomena behind traffic jam formation on highways , Phys. Rev. E 80, 046205 (2009). [pdf]
  • Rodrigues S., Barton D. A. W., Szalai R., Benjamin O., Richardson M. P. and Terry J. R, Transitions to spike-wave oscillations and epileptic dynamics in a human cortico-thalamic mean-field model , J Comput Neurosci. 27(3), 507-526. (2009) [pdf]
  • R. Szalai, Hinke M. Osinga, Invariant polygons in systems with grazing-sliding , Chaos 28(2), 023121 (2008). [pdf]
  • R. Szalai, Hinke M. Osinga, Unstable manifolds of a limit cycle near grazing , Nonlinearity 21(2), 273-284 (2008). [pdf]
  • R. Szalai, G. Stépán, S.J. Hogan, Continuation of bifurcations in periodic delay-differential equations using characteristic matrices, SIAM Journal on Scientific Computing 28(4), 1301-1317 (2006). [pdf]
  • R. Szalai, G. Stépán, Lobes and lenses in the stability chart of interrupted turning, ASME Journal of Computational and Nonlinear Dynamics, 1(3) (2006), 205-211 (2006) [pdf]
  • G. Stépán, T. Insperger, R. Szalai, Delay, parametric exitation and the nonlinear dynamics of cutting processes, International Journal of Bifurcation and chaos 15(9), 197-203 (2005).
  • G. Stépán, R. Szalai, B.P. Mann, P.V. Bayly, T. Insperger, J. Gradisek, E. Govekar, Nonlinear dynamics of high-speed milling -- analysis numerics and experiments, ASME Journal of Vibrations and Acoustics, 127(2), 197-203 (2005).
  • R. Szalai, G. Stépán, S.J. Hogan, Global dynamics of low immersion high-speed milling, Chaos: an interdisciplinary journal of nonlinear science 14(4), 1069-1077 (2004).
  • Book chapters

  • D. Roose, R. Szalai, Continuation and Bifurcation Analysis of Delay Differential Equations, Editors: B. Krauskopf, H.M. Osinga, J. Galan-Vioque, in Numerical Continuation Methods for Dynamical Systems, Springer (2007).
  • G. Stépán, R. Szalai, and T. Insperger, Stability of High-Speed Milling Editor: G. Radons, in Nonlinear Dynamics of Production Systems, 111-128, Wiley VCH, (2003).
  • Conference papers (refereed)

  • R. Szalai, B.P. Mann, G. Stépán, Period-two and quasi-periodic vibrations of high-speed milling 9th CIRP International Workshop on Modeling of Machining Operations, Bled, Slovenia, May 11-12 (2006). [pdf]
  • G. Stépán, R. Szalai, B.P. Mann, P.V. Bayly, T. Insperger, J. Gradisek, E. Govekar, Dynamics and stability of high-speed milling, In Proceedings of the 37th CIRP International seminar on Manufacturing Systems, Budapest, pp. 119-125, (2004)
  • R. Szalai, G. Stépán, Stability boundaries of high-speed milling corresponding to period doubling are essentially closed curves Proceedings of IMECE2003 ASME International Mechanical Engineering Congress and R&D Expo, Washington D.C., pp. 1-6, 2003. Paper number IMECE2003-42122 (CD-ROM).
  • G. Stépán, R. Szalai, B.P. Mann, P.V. Bayly, T. Insperger, J. Gradisek, E. Govekar, Global attractors of high-speed milling - analyses, numerics and experiments, In Proceedings of DETC2003 ASME Design Engineering Technical Conferences, Chicago, Illinois, pp. 1-9, 2003. paper no. DETC03/VIB-48572 (CD-ROM).
  • G. Stépán, R. Szalai, Unstable period doubling vibrations in highly interrupted cutting processes, Proceedings of the 5th International Conference on Vibration Engineering, Nanjing, China, pp. 375-380 (2002).
  • Other conference paper

  • G. Stépán, R. Szalai, Nonlinear vibrations of highly interrupted machining, Proceedings of the 2nd Workshop on Dynamics and Control of Mechanical Processing Organized by WG2 COST Action, Budapest, pp. 59-64, (2001).
  • Thesis

  • R. Szalai, Nonlinear dynamics of high-speed milling, PhD thesis, Budapest University of Technology and Economics (2006). [pdf]