Edit Profile (opens in new tab) Marangell, Robert Co-Author Distance Author ID: marangell.robert Published as: Marangell, Robert; Marangell, R. Documents Indexed: 41 Publications since 2010, including 8 Additional arXiv Preprints Co-Authors: 40 Co-Authors with 38 Joint Publications 894 Co-Co-Authors all top 5 Co-Authors 1 single-authored 9 Jones, Christopher K. R. T. 9 van Heijster, Peter 8 Wechselberger, Martin 5 Lizarraga, Ian 4 Harley, Kristen E. 4 Miller, Peter D. 4 Pettet, Graeme John 4 Susanto, Hadi 3 Davis, Paige N. 3 Dullin, Holger R. 3 Latushkin, Yuri 3 Plaza, Ramón G. 2 Bradshaw-Hajek, Bronwyn H. 2 Bronski, Jared C. 2 Cox, Graham 2 Worthington, Joachim 1 Baird, Thomas John 1 Chan, Matthew H. T. 1 Clarke, William A. 1 Cornwell, Paul 1 Curran, Mitchell 1 Hur, Vera Mikyoung 1 Jackson, Russell K. 1 Johnson, Mathew A. 1 Kairzhan, Adilbek 1 Kim, Peter S. 1 Leisman, Katelyn Plaisier 1 Li, Yifei 1 Öelz, Dietmar B. 1 Pelinovsky, Dmitry Efimovich 1 Perkins, Wesley R. 1 Rahman, Nizhum 1 Rimányi, Richárd 1 Roberts, Timothy V. 1 Rodrigo, Marianito R. 1 Rusin, Rahmi 1 Simpson, Matthew J. 1 Tam, Alexander K. Y. 1 Vasudevan, Shibi 1 Xiao, Ke Liang all top 5 Serials 4 Journal of Nonlinear Science 3 Nonlinearity 3 Journal of Differential Equations 3 Physica D 2 Studies in Applied Mathematics 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 American Journal of Mathematics 1 Applied Mathematics and Computation 1 Applied Numerical Mathematics 1 SIAM Review 1 Journal of Dynamics and Differential Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 SIAM Journal on Applied Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series S all top 5 Fields 32 Partial differential equations (35-XX) 13 Dynamical systems and ergodic theory (37-XX) 11 Ordinary differential equations (34-XX) 9 Biology and other natural sciences (92-XX) 7 Operator theory (47-XX) 4 Fluid mechanics (76-XX) 3 Differential geometry (53-XX) 3 Mechanics of particles and systems (70-XX) 3 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 203 times in 134 Documents Cited by ▼ Year ▼ Spectral and modulational stability of periodic wavetrains for the nonlinear Klein-Gordon equation. Zbl 1304.35079 Jones, Christopher K. R. T.; Marangell, Robert; Miller, Peter D.; Plaza, Ramón G. 23 2014 Existence of traveling wave solutions for a model of tumor invasion. Zbl 1301.34075 Harley, K.; van Heijster, P.; Marangell, R.; Pettet, G. J.; Wechselberger, M. 21 2014 On the stability analysis of periodic sine-Gordon traveling waves. Zbl 1278.35046 Jones, Christopher K. R. T.; Marangell, Robert; Miller, Peter D.; Plaza, Ramón G. 20 2013 Absolute instabilities of travelling wave solutions in a Keller-Segel model. Zbl 1387.35090 Davis, P. N.; van Heijster, P.; Marangell, R. 15 2017 The Morse and Maslov indices for matrix Hill’s equations. Zbl 1326.53118 Jones, Christopher K. R. T.; Latushkin, Yuri; Marangell, Robert 14 2013 Numerical computation of an Evans function for travelling waves. Zbl 1356.92013 Harley, K.; van Heijster, P.; Marangell, R.; Pettet, G. J.; Wechselberger, M. 11 2015 Localized standing waves in inhomogeneous Schrödinger equations. Zbl 1203.37118 Marangell, R.; Jones, C. K. R. T.; Susanto, H. 11 2010 The spectrum of travelling wave solutions to the sine-Gordon equation. Zbl 1248.35136 Jones, Christopher K. R. T.; Marangell, Robert 8 2012 Standing waves on a flower graph. Zbl 1454.35406 Kairzhan, Adilbek; Marangell, Robert; Pelinovsky, Dmitry E.; Xiao, Ke Liang 8 2021 Novel solutions for a model of wound healing angiogenesis. Zbl 1310.34079 Harley, K.; van Heijster, P.; Marangell, R.; Pettet, G. J.; Wechselberger, M. 7 2014 Instability of equilibria for the two-dimensional Euler equations on the torus. Zbl 1343.76012 Dullin, Holger R.; Marangell, Robert; Worthington, Joachim 7 2016 Stability of traveling wave solutions of nonlinear dispersive equations of NLS type. Zbl 1467.35299 Leisman, Katelyn Plaisier; Bronski, Jared C.; Johnson, Mathew A.; Marangell, Robert 7 2021 Unstable gap solitons in inhomogeneous nonlinear Schrödinger equations. Zbl 1278.35231 Marangell, R.; Susanto, H.; Jones, C. K. R. T. 6 2012 An instability criterion for nonlinear standing waves on nonzero backgrounds. Zbl 1310.35217 Jackson, R. K.; Marangell, R.; Susanto, H. 5 2014 Dynamical Hamiltonian-Hopf instabilities of periodic traveling waves in Klein-Gordon equations. Zbl 1364.35299 Marangell, R.; Miller, P. D. 5 2015 Travelling wave solutions in a negative nonlinear diffusion-reaction model. Zbl 1457.92029 Li, Yifei; Heijster, Peter van; Marangell, Robert; Simpson, Matthew J. 5 2020 Generalized Maslov indices for non-Hamiltonian systems. Zbl 1498.37023 Baird, Thomas J.; Cornwell, Paul; Cox, Graham; Jones, Christopher; Marangell, Robert 4 2022 Spectral stability of travelling wave solutions in a Keller-Segel model. Zbl 1418.92016 Davis, P. N.; van Heijster, P.; Marangell, R. 4 2019 On the spectral and modulational stability of periodic wavetrains for nonlinear Klein-Gordon equations. Zbl 1356.35038 Jones, Christopher K. R. T.; Marangell, Robert; Miller, Peter D.; Plaza, Ramón G. 3 2016 (In)stability of travelling waves in a model of haptotaxis. Zbl 1443.35013 Harley, Kristen E.; van Heijster, Peter; Marangell, Robert; Pettet, Graeme J.; Roberts, Timothy V.; Wechselberger, Martin 3 2020 The general quadruple point formula. Zbl 1197.57028 Marangell, R.; Rimányi, R. 3 2010 Slow unfoldings of contact singularities in singularly perturbed systems beyond the standard form. Zbl 1470.34151 Lizarraga, Ian; Marangell, Robert; Wechselberger, Martin 3 2020 Instability of unidirectional flows for the 2D \(\alpha\)-Euler equations. Zbl 1447.35255 Dullin, Holger; Latushkin, Yuri; Marangell, Robert; Vasudevan, Shibi; Worthington, Joachim 3 2020 Rigorous justification of the Whitham modulation theory for equations of NLS type. Zbl 1487.35350 Clarke, W. A.; Marangell, R. 3 2021 A new Evans function for quasi-periodic solutions of the linearised sine-Gordon equation. Zbl 1462.35025 Clarke, W. A.; Marangell, R. 2 2020 Traveling wave solutions in a model for tumor invasion with the acid-mediation hypothesis. Zbl 1487.35168 Davis, Paige N.; van Heijster, Peter; Marangell, Robert; Rodrigo, Marianito R. 1 2022 Stability of travelling waves in a Wolbachia invasion. Zbl 1403.35302 Chan, Matthew H.; Kim, Peter S.; Marangell, Robert 1 2018 Generalized Maslov indices for non-Hamiltonian systems. Zbl 1498.37023 Baird, Thomas J.; Cornwell, Paul; Cox, Graham; Jones, Christopher; Marangell, Robert 4 2022 Traveling wave solutions in a model for tumor invasion with the acid-mediation hypothesis. Zbl 1487.35168 Davis, Paige N.; van Heijster, Peter; Marangell, Robert; Rodrigo, Marianito R. 1 2022 Standing waves on a flower graph. Zbl 1454.35406 Kairzhan, Adilbek; Marangell, Robert; Pelinovsky, Dmitry E.; Xiao, Ke Liang 8 2021 Stability of traveling wave solutions of nonlinear dispersive equations of NLS type. Zbl 1467.35299 Leisman, Katelyn Plaisier; Bronski, Jared C.; Johnson, Mathew A.; Marangell, Robert 7 2021 Rigorous justification of the Whitham modulation theory for equations of NLS type. Zbl 1487.35350 Clarke, W. A.; Marangell, R. 3 2021 Travelling wave solutions in a negative nonlinear diffusion-reaction model. Zbl 1457.92029 Li, Yifei; Heijster, Peter van; Marangell, Robert; Simpson, Matthew J. 5 2020 (In)stability of travelling waves in a model of haptotaxis. Zbl 1443.35013 Harley, Kristen E.; van Heijster, Peter; Marangell, Robert; Pettet, Graeme J.; Roberts, Timothy V.; Wechselberger, Martin 3 2020 Slow unfoldings of contact singularities in singularly perturbed systems beyond the standard form. Zbl 1470.34151 Lizarraga, Ian; Marangell, Robert; Wechselberger, Martin 3 2020 Instability of unidirectional flows for the 2D \(\alpha\)-Euler equations. Zbl 1447.35255 Dullin, Holger; Latushkin, Yuri; Marangell, Robert; Vasudevan, Shibi; Worthington, Joachim 3 2020 A new Evans function for quasi-periodic solutions of the linearised sine-Gordon equation. Zbl 1462.35025 Clarke, W. A.; Marangell, R. 2 2020 Spectral stability of travelling wave solutions in a Keller-Segel model. Zbl 1418.92016 Davis, P. N.; van Heijster, P.; Marangell, R. 4 2019 Stability of travelling waves in a Wolbachia invasion. Zbl 1403.35302 Chan, Matthew H.; Kim, Peter S.; Marangell, Robert 1 2018 Absolute instabilities of travelling wave solutions in a Keller-Segel model. Zbl 1387.35090 Davis, P. N.; van Heijster, P.; Marangell, R. 15 2017 Instability of equilibria for the two-dimensional Euler equations on the torus. Zbl 1343.76012 Dullin, Holger R.; Marangell, Robert; Worthington, Joachim 7 2016 On the spectral and modulational stability of periodic wavetrains for nonlinear Klein-Gordon equations. Zbl 1356.35038 Jones, Christopher K. R. T.; Marangell, Robert; Miller, Peter D.; Plaza, Ramón G. 3 2016 Numerical computation of an Evans function for travelling waves. Zbl 1356.92013 Harley, K.; van Heijster, P.; Marangell, R.; Pettet, G. J.; Wechselberger, M. 11 2015 Dynamical Hamiltonian-Hopf instabilities of periodic traveling waves in Klein-Gordon equations. Zbl 1364.35299 Marangell, R.; Miller, P. D. 5 2015 Spectral and modulational stability of periodic wavetrains for the nonlinear Klein-Gordon equation. Zbl 1304.35079 Jones, Christopher K. R. T.; Marangell, Robert; Miller, Peter D.; Plaza, Ramón G. 23 2014 Existence of traveling wave solutions for a model of tumor invasion. Zbl 1301.34075 Harley, K.; van Heijster, P.; Marangell, R.; Pettet, G. J.; Wechselberger, M. 21 2014 Novel solutions for a model of wound healing angiogenesis. Zbl 1310.34079 Harley, K.; van Heijster, P.; Marangell, R.; Pettet, G. J.; Wechselberger, M. 7 2014 An instability criterion for nonlinear standing waves on nonzero backgrounds. Zbl 1310.35217 Jackson, R. K.; Marangell, R.; Susanto, H. 5 2014 On the stability analysis of periodic sine-Gordon traveling waves. Zbl 1278.35046 Jones, Christopher K. R. T.; Marangell, Robert; Miller, Peter D.; Plaza, Ramón G. 20 2013 The Morse and Maslov indices for matrix Hill’s equations. Zbl 1326.53118 Jones, Christopher K. R. T.; Latushkin, Yuri; Marangell, Robert 14 2013 The spectrum of travelling wave solutions to the sine-Gordon equation. Zbl 1248.35136 Jones, Christopher K. R. T.; Marangell, Robert 8 2012 Unstable gap solitons in inhomogeneous nonlinear Schrödinger equations. Zbl 1278.35231 Marangell, R.; Susanto, H.; Jones, C. K. R. T. 6 2012 Localized standing waves in inhomogeneous Schrödinger equations. Zbl 1203.37118 Marangell, R.; Jones, C. K. R. T.; Susanto, H. 11 2010 The general quadruple point formula. Zbl 1197.57028 Marangell, R.; Rimányi, R. 3 2010 all cited Publications top 5 cited Publications all top 5 Cited by 225 Authors 21 Marangell, Robert 13 van Heijster, Peter 9 Jones, Christopher K. R. T. 8 Latushkin, Yuri 7 Howard, Peter 7 Plaza, Ramón G. 7 Wang, Zhian 6 Wechselberger, Martin 5 Dullin, Holger R. 5 Pelinovsky, Dmitry Efimovich 5 Sukhtayev, Alim 5 Worthington, Joachim 4 Berti, Massimiliano 4 Deconinck, Bernard 4 Maspero, Alberto 4 Miller, Peter D. 4 Pettet, Graeme John 4 Susanto, Hadi 4 Ventura, Paolo 3 Alvarez, Enrique E. 3 Beck, Margaret 3 Cornwell, Paul 3 Cox, Graham 3 Davis, Paige N. 3 Doelman, Arjen 3 Harley, Kristen E. 3 Simpson, Matthew J. 3 Sukhtaiev, Selim 2 Angulo Pava, Jaime 2 Arancibia-Ibarra, Claudio 2 Balasuriya, Sanjeeva 2 Barbera, Elvira 2 Currò, Carmela 2 Derks, Gianne 2 Flores, José D. 2 Jelbart, Samuel 2 Jung, Soyeun 2 Kairzhan, Adilbek 2 Kovács, Endre 2 Kühn, Christian 2 Li, Yifei 2 Noja, Diego 2 Palacios, José Manuel 2 Peng, Hongyun 2 Rodrigues, Luis Miguel 2 Saleh, Mahmoud 2 Segal, Benjamin Louis 2 Shen, Jianhe 2 Sun, Wen-Rong 2 Valenti, Giovanna 2 Vasudevan, Shibi 1 Adami, Riccardo 1 Agostinho, Francisco 1 Al-Karkhi, Tahani A. S. 1 Alexeyev, Alexander A. 1 Audiard, Corentin 1 Avitabile, Daniele 1 Baird, Thomas John 1 Baldwin, Scott A. 1 Baronas, Romas 1 Berkolaiko, Gregory 1 Bertram, Aaron 1 Bertram, Richard 1 Besse, Christophe 1 Binder, Benjamin James 1 Bode, Michael 1 Borluk, Handan 1 Bronski, Jared C. 1 Bu, Xiaoshuang 1 Calvez, Vincent 1 Carter, Paul M. 1 Castellanos, Víctor 1 Champneys, Alan R. 1 Chen, Chaonien 1 Chen, Gong 1 Chirilus-Bruckner, Martina 1 Clarke, William A. 1 Codling, Edward A. 1 Cole, Justin T. 1 Colucci, Renato 1 Correia, Simão 1 Curran, Mitchell 1 Dawes, Jonathan H. P. 1 De Coster, Colette 1 de Loreno, Guilherme 1 de Rijk, Björn 1 Demircigil, Mete 1 Desroches, Mathieu 1 Dovetta, Simone 1 Du, Yihong 1 Duboscq, Romain 1 Eikenberry, Steffen E. 1 El-Hachem, Maud 1 Fiore, Gaetano 1 Floratos, Emmanuel G. 1 Fu, Xiaoming 1 Galant, Damien 1 Gandzha, Ivan S. 1 Ganesan, Sashikumaar 1 Gardner, Jennifer M. ...and 125 more Authors all top 5 Cited in 68 Serials 11 Physica D 9 Journal of Differential Equations 6 Nonlinearity 6 Journal of Dynamics and Differential Equations 4 Journal of Mathematical Analysis and Applications 4 Journal of Nonlinear Science 4 Discrete and Continuous Dynamical Systems. Series B 4 SIAM Journal on Applied Dynamical Systems 3 Archive for Rational Mechanics and Analysis 3 SIAM Journal on Mathematical Analysis 3 Journal of Physics A: Mathematical and Theoretical 3 Journal of Theoretical Biology 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Communications in Mathematical Physics 2 Proceedings of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 Studies in Applied Mathematics 2 Applied Numerical Mathematics 2 SIAM Journal on Applied Mathematics 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Calculus of Variations and Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 2 Journal of Mathematical Fluid Mechanics 2 Journal of Evolution Equations 2 Communications on Pure and Applied Analysis 2 Mathematical Modelling of Natural Phenomena 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Nuclear Physics. B 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Meccanica 1 Ricerche di Matematica 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Computational and Applied Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Selecta Mathematica. New Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Biological Systems 1 Journal of High Energy Physics 1 Lobachevskii Journal of Mathematics 1 Journal of Nonlinear Mathematical Physics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Mathematical Biosciences and Engineering 1 Oberwolfach Reports 1 Kinetic and Related Models 1 Analysis and Mathematical Physics 1 SMAI Journal of Computational Mathematics 1 SN Partial Differential Equations and Applications all top 5 Cited in 30 Fields 104 Partial differential equations (35-XX) 33 Biology and other natural sciences (92-XX) 31 Ordinary differential equations (34-XX) 24 Dynamical systems and ergodic theory (37-XX) 17 Fluid mechanics (76-XX) 12 Operator theory (47-XX) 11 Differential geometry (53-XX) 8 Numerical analysis (65-XX) 8 Quantum theory (81-XX) 6 Mechanics of particles and systems (70-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Algebraic geometry (14-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year