Publications

Ross Parker, Jesús Cuevas-Maraver, Panayotis G. Kevrekidis, Alejandro Aceves (2022). Revisiting Multi-breathers in the discrete Klein-Gordon equation: A Spatial Dynamics Approach. Nonlinearity 35 5714-5748.

Ross Parker, Andrea K. Barreiro (2022). Bifurcations of a neural network model with symmetry. SIAM Journal on Applied Dynamical Systems (accepted).

Ross Parker, Yannan Shen, Alejandro Aceves, John Zweck (2022). Spatiotemporal dynamics in a twisted, circular waveguide array. Studies in Applied Mathematics (2022) 1-24.

Ross Parker, Björn Sandstede (2022). Periodic multi-pulses and spectral stability in Hamiltonian PDEs with symmetry. Journal of Differential Equations 334 (2022) 368–450.

Ross Parker, Jesús Cuevas-Maraver, Panayotis G. Kevrekidis, Alejandro Aceves (2022). Floquet solitons in square lattices: Existence, Stability and Dynamics. Physical Review E 105 (2022) 044211.

Ross Parker, Panayotis G. Kevrekidis, Alejandro Aceves (2021). Stationary multi-kinks in the discrete sine-Gordon equation. Nonlinearity 35 (2022) 1036–1060.

Ross Parker, Alejandro Aceves (2021). Standing wave solutions in twisted multicore fibers. Physical Review A 103 (2021) 053505.

Ross Parker, Alejandro Aceves (2021). Multi-pulse solitary waves in a fourth-order nonlinear Schrödinger equation. Physica D: Nonlinear Phenomena 422 (2021) 132890.

Efstathios G. Charalampidis, Ross Parker, Panayotis G. Kevrekidis, Stéphane Lafortune (2020). The Stability of the b-family of Peakon Equations. arXiv e-prints 2012.13019.

Todd Kapitula, Ross Parker, Björn Sandstede (2020). A reformulated Krein matrix for star-even polynomial operators with applications. SIAM Journal on Mathematical Analysis 52 (2020) 4705-4750.

Ross Parker, P.G. Kevrekidis, Björn Sandstede (2020). Existence and spectral stability of multi-pulses in discrete Hamiltonian lattice systems. Physica D: Nonlinear Phenomena 408 (2020) 132414.