Publications

Preprints

1. Pouradier Duteil N, Poyato D, Reynolds DN, Graph-Induced Rotational Twisted States in Systems of Identical Oscillators, arXiv:2607.11833, (2026).

2. Millán A-P, Poyato D, Reynolds DN, Tudisco F, Synchronization of coupled Stuart-Landau oscillators: How heterogeneity can facilitate synchronization; arXiv:2510.05243 (2025).

3. Reynolds DN, Torres P, Consensus, polarization, and optimization of the mean value in a nonlinear model of opinion dynamics; arXiv:2509.14918 (2025).

Publications

4. Zhang K, Reynolds DN, Deidda P, Tudisco F, Stuart-Landau Oscillatory Graph Neural Network; Association for Computing and Machinery, (2026).

5. Antonelli P, Reynolds DN, Lyapunov stability and exponential phase-locking of Schrödinger-Lohe quantum oscillators; Physica D: Nonlinear Phenomena, (2025).

6. Reynolds DN, Tudisco F, Unique Nash equilibrium of a nonlinear model of opinion dynamics on networks with friction-inspired stubbornness; Nonlinearity, (2025).

7. Antonelli P, Reynolds DN, Schrödinger-Lohe Type Models of Quantum Synchronization with nonidentical oscillators; Journal of Differential Equations, (2023)

8. Lear D, Reynolds DN, Shvydkoy R, Global solutions to multi-dimensional topological Euler alignment systems; Annals of PDE, (2022).

9. Lear D, Reynolds DN, Shvydkoy R, Grassmannian Reduction of Cucker-Smale Systems and Dynamical Opinion Games; Discrete & Continuous Dynamical Systems, (2021).

10. Reynolds DN, Shvydkoy R, Local well-posedness of the topological Euler alignment models of collective behavior ; Nonlinearity, (2020).

PhD Thesis

11. Reynolds DN, Regularity and Long Time Behavior of Metric and Topological Models of Collective Dynamics,  University of Illinois Chicago (2021).