Publications & Preprints


Recent Publications

manifold intersection 1d manifold Kuramoto Fisher 1d manifold Kuramoto Fisher

[5] Finite element approximation of invariant manifolds by the parameterization method, with J.D Mireles-James and Necibe Tuncer (accepted to Partial Differential Equations and Applications)

[4] Computer Assisted Proof of Drift Orbits Along Normally Hyperbolic Manifolds, with Maciej J. Capinski, Jean-Pierre Marco, J.D. Mireles James (Communications in Nonlinear Science and Numerical Simulations, Vol 106, March 2022, 105970)

[3] Aggregated impulses: Towards explanatory models for self-similar alpha stable traffic, with Chad Bollmann and Joshua Clymer (2019 13th International Conference on Signal Processing and Communication Systems (ICSPCS) IEEE, 2019)

[2] Towards an explanatory model for network traffic, with Chad Bollmann and Joshua Clymer (2019 IEEE 40th Sarnoff Symposium. IEEE, 2019)

[1] High-order parameterization of stable/unstable manifolds for long periodic orbits of maps , with J.D Mireles-James (SIAM Journal on Applied Dynamical Systems, 2017, Vol. 16, No. 3 : pp. 1748-1795)