On the stability analysis of periodic sine–Gordon traveling waves CKRT Jones, R Marangell, PD Miller, RG Plaza Physica D: Nonlinear Phenomena 251, 63-74, 2013 | 27 | 2013 |

Existence of traveling wave solutions for a model of tumor invasion K Harley, P van Heijster, R Marangell, GJ Pettet, M Wechselberger SIAM Journal on Applied Dynamical Systems 13 (1), 366-396, 2014 | 25 | 2014 |

The Morse and Maslov indices for matrix Hill’s equations CKRT Jones, Y Latushkin, R Marangell Spectral analysis, differential equations and mathematical physics: a …, 2013 | 20 | 2013 |

Localized standing waves in inhomogeneous Schrödinger equations R Marangell, C Jones, H Susanto Nonlinearity 23 (9), 2059, 2010 | 20 | 2010 |

Spectral and modulational stability of periodic wavetrains for the nonlinear Klein–Gordon equation CKRT Jones, R Marangell, PD Miller, RG Plaza Journal of Differential Equations 257 (12), 4632-4703, 2014 | 16 | 2014 |

The general quadruple point formula R Marangell, R Rimányi American journal of mathematics 132 (4), 867-896, 2010 | 15 | 2010 |

Numerical computation of an Evans function for travelling waves K Harley, P van Heijster, R Marangell, GJ Pettet, M Wechselberger Mathematical biosciences 266, 36-51, 2015 | 14 | 2015 |

The spectrum of travelling wave solutions to the Sine-Gordon equation CKRT Jones, R Marangell Discrete & Continuous Dynamical Systems-S 5 (5), 925, 2012 | 12 | 2012 |

Novel solutions for a model of wound healing angiogenesis K Harley, P van Heijster, R Marangell, GJ Pettet, M Wechselberger Nonlinearity 27 (12), 2975, 2014 | 11 | 2014 |

Unstable gap solitons in inhomogeneous nonlinear Schrödinger equations R Marangell, H Susanto, C Jones Journal of Differential Equations 253 (4), 1191-1205, 2012 | 11 | 2012 |

Absolute instabilities of travelling wave solutions in a Keller–Segel model PN Davis, P van Heijster, R Marangell Nonlinearity 30 (11), 4029, 2017 | 9 | 2017 |

Instability of equilibria for the two-dimensional Euler equations on the torus HR Dullin, R Marangell, J Worthington SIAM Journal on Applied Mathematics 76 (4), 1446-1470, 2016 | 7 | 2016 |

Dynamical Hamiltonian–Hopf instabilities of periodic traveling waves in Klein–Gordon equations R Marangell, PD Miller Physica D: Nonlinear Phenomena 308, 87-93, 2015 | 5 | 2015 |

An instability criterion for nonlinear standing waves on nonzero backgrounds RK Jackson, R Marangell, H Susanto Journal of Nonlinear Science 24 (6), 1177-1196, 2014 | 4 | 2014 |

Spectral stability of travelling wave solutions in a Keller–Segel model PN Davis, P van Heijster, R Marangell Applied Numerical Mathematics 141, 54-61, 2019 | 3 | 2019 |

Numerical computation of an Evans function in the Fisher/KPP equation K Harley, R Marangell, GJ Pettet, M Wechselberger arXiv preprint ArXiv:1312.3685, 2015 | 2 | 2015 |

Instability of unidirectional flows for the 2D -Euler equations H Dullin, Y Latushkin, R Marangell, S Vasudevan, J Worthington arXiv preprint arXiv:1901.01367, 2019 | 1 | 2019 |

Traveling wave solutions in a model for tumor invasion with the acid-mediation hypothesis PN Davis, P van Heijster, R Marangell, MR Rodrigo arXiv preprint arXiv:1807.10431, 2018 | 1 | 2018 |

Instability of Equilibria for the 2D Euler Equations on the torus J Worthington, HR Dullin, R Marangell arXiv preprint arXiv:1505.01667, 2015 | 1 | 2015 |

Stability of travelling wave solutions to the sine-Gordon equation C Jones, R Marangell arXiv preprint arXiv:1010.2759, 2010 | 1 | 2010 |