An Instability Criterion for Nonlinear Standing Waves on Nonzero Backgrounds. - R. K. Jackson; Robert Marangell; Hadi Susanto (J. Nonlinear Sci., 2014)

Existence of Traveling Wave Solutions for a Model of Tumor Invasion. - Kristen E. Harley; Peter van Heijster; Robert Marangell; Graeme J. Pettet; Martin Wechselberger (SIAM J. Appl. Dyn. Syst., 2014)

Instability of Equilibria for the Two-Dimensional Euler Equations on the Torus. - Holger R. Dullin; Robert Marangell; Joachim Worthington (SIAM J. Appl. Math., 2016)

A New Evans Function for Quasi-Periodic Solutions of the Linearised Sine-Gordon Equation. - W. A. Clarke; Robert Marangell (J. Nonlinear Sci., 2020)

Slow Unfoldings of Contact Singularities in Singularly Perturbed Systems Beyond the Standard Form. - Ian Lizarraga; Robert Marangell; Martin Wechselberger (J. Nonlinear Sci., 2020)

(In)stability of Travelling Waves in a Model of Haptotaxis. - Kristen E. Harley; Peter van Heijster; Robert Marangell; Graeme J. Pettet; Timothy V. Roberts; Martin Wechselberger (SIAM J. Appl. Math., 2020)

Classification and stability analysis of polarising and depolarising travelling wave solutions for a model of collective cell migration. - Nizhum Rahman; Robert Marangell; Dietmar Oelz (Appl. Math. Comput., 2022)

Generalized Maslov Indices for Non-Hamiltonian Systems. - Thomas J. Baird; Paul Cornwell; Graham Cox; Christopher Jones; Robert Marangell (SIAM J. Math. Anal., 2022)

Spectral Stability of Shock-fronted Travelling Waves Under Viscous Relaxation. - Ian Lizarraga; Robert Marangell (J. Nonlinear Sci., 2023)

Hamiltonian Spectral Flows, the Maslov Index, and the Stability of Standing Waves in the Nonlinear Schrodinger Equation. - Graham Cox; Mitchell Curran; Yuri Latushkin; Robert Marangell (SIAM J. Math. Anal., 2023)

A Geometric Singular Perturbation Analysis of Shock Selection Rules in Composite Regularized Reaction-Nonlinear Diffusion Models. - Bronwyn H. Bradshaw-Hajek; Ian Lizarraga; Robert Marangell; Martin Wechselberger (SIAM J. Appl. Dyn. Syst., 2024)