Detonation and Deflagration Waves with Multistep Reaction Schemes. - Ingenuin Gasser; Peter Szmolyan (SIAM J. Appl. Math., 1995)

Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points - Fold and Canard Points in Two Dimensions. - Martin Krupa; Peter Szmolyan (SIAM J. Math. Anal., 2001)

Geometric Singular Perturbation Analysis of the Yamada Model. - Astrid Huber; Peter Szmolyan (SIAM J. Appl. Dyn. Syst., 2005)

Persistence of Rarefactions under Dafermos Regularization: Blow-Up and an Exchange Lemma for Gain-of-Stability Turning Points. - Stephen Schecter; Peter Szmolyan (SIAM J. Appl. Dyn. Syst., 2009)

Scaling in Singular Perturbation Problems: Blowing Up a Relaxation Oscillator. - Ilona Kosiuk; Peter Szmolyan (SIAM J. Appl. Dyn. Syst., 2011)

Multiscale Geometry of the Olsen Model and Non-classical Relaxation Oscillations. - Christian Kuehn 001; Peter Szmolyan (J. Nonlinear Sci., 2015)

Existence of Chapman-Jouguet Detonation and Deflagration Waves. - Ingenuin Gasser; Peter Szmolyan; Johannes Wächtler (SIAM J. Math. Anal., 2016)

ManyLands: A Journey Across 4D Phase Space of Trajectories. - Aleksandr Amirkhanov; Ilona Kosiuk; Peter Szmolyan; Artem Amirkhanov; Gabriel Mistelbauer; M. Eduard Gröller; Renata G. Raidou (Comput. Graph. Forum, 2019)

Singular Perturbation Analysis of a Regularized MEMS Model. - Annalisa Iuorio; Nikola Popovic; Peter Szmolyan (SIAM J. Appl. Dyn. Syst., 2019)

Qualitative Dynamics of Chemical Reaction Networks: An Investigation Using Partial Tropical Equilibrations. - Aurélien Desoeuvres; Peter Szmolyan; Ovidiu Radulescu (CMSB, 2022)

A skin microbiome model with AMP interactions and analysis of quasi-stability vs stability in population dynamics. - Eléa Thibault Greugny; François Fages; Ovidiu Radulescu; Peter Szmolyan; Georgios N. Stamatas (Theor. Comput. Sci., 2024)

Traveling Waves and Exponential Nonlinearities in the Zeldovich-Frank-Kamenetskii Equation. - Samuel Jelbart; Kristian Uldall Kristiansen; Peter Szmolyan (SIAM J. Appl. Dyn. Syst., 2025)