Nathan Duignan

Normal Forms for Manifolds of Normally Hyperbolic Singularities and Asymptotic Properties of Nearby Transitions

Nathan Duignan, 2019, Qualitative Theory of Dynamical Systems.

Existence of global symmetries of divergence-free fields with first integrals

N. Duignan, D. Perrella, David Pfefferl'e, 2023, Journal of Mathematical Physics.

Distinguishing between regular and chaotic orbits of flows by the weighted Birkhoff average

J. Meiss, N. Duignan, Nathan Duignan, 2022, Physica D: Nonlinear Phenomena.

Nonexistence of invariant tori transverse to foliations: An application of converse KAM theory.

J. Meiss, Nathan Duignan, 2020, Chaos.

Normal forms and near-axis expansions for Beltrami magnetic fields

J. Meiss, N. Duignan, Nathan Duignan, 2021, Physics of Plasmas.

Asymmetry of MHD equilibria for generic adapted metrics

D. Perrella, Nathan Duignan, Robert Cardona, 2023, 2312.14368.