Delay, Parametric Excitation, and the Nonlinear Dynamics of Cutting Processes. - Gábor Stépán; Tamás Insperger; Robert Szalai (Int. J. Bifurc. Chaos, 2005)

Continuation of Bifurcations in Periodic Delay-Differential Equations Using Characteristic Matrices. - Robert Szalai; Gábor Stépán; Stephen John Hogan (SIAM J. Sci. Comput., 2006)

Transitions to spike-wave oscillations and epileptic dynamics in a human cortico-thalamic mean-field model. - Serafim Rodrigues; David A. W. Barton; Robert Szalai; Oscar Benjamin; Mark P. Richardson; John R. Terry (J. Comput. Neurosci., 2009)

Arnol'd Tongues Arising from a Grazing-Sliding Bifurcation. - Robert Szalai; Hinke M. Osinga (SIAM J. Appl. Dyn. Syst., 2009)

Characteristic Matrices for Linear Periodic Delay Differential Equations. - Jan Sieber; Robert Szalai (SIAM J. Appl. Dyn. Syst., 2011)

Piecewise Smooth Dynamical Systems Theory: The Case of the Missing Boundary Equilibrium Bifurcations. - Stephen John Hogan; Martin E. Homer; Mike R. Jeffrey; Robert Szalai (J. Nonlinear Sci., 2016)

Model Reduction of Non-densely Defined Piecewise-Smooth Systems in Banach Spaces. - Robert Szalai (J. Nonlinear Sci., 2019)

Uncountably Many Cases of Filippov's Sewed Focus. - Paul Glendinning; Stephen John Hogan; Martin E. Homer; Mike R. Jeffrey; Robert Szalai (J. Nonlinear Sci., 2023)

Data-Driven Reduced Order Models Using Invariant Foliations, Manifolds and Autoencoders. - Robert Szalai (J. Nonlinear Sci., 2023)

Machine-learning invariant foliations in forced systems for reduced order modelling. - Robert Szalai (CoRR, 2024)

Classification of Filippov Type 3 Singular Points in Planar Bimodal Piecewise Smooth Systems. - Paul A. Glendinning; Stephen John Hogan; Martin E. Homer; Mike R. Jeffrey; Robert Szalai (SIAM J. Appl. Dyn. Syst., 2024)