Publications

See my Google Scholar profile for an up-to-date list of publications

Resonant vector bundles, conjugate points, and the stability of pulse solutions to the Swift-Hohenberg equation using validated numerics: Part I.

J. Jaquette, M. Beck, H. Pieper

Submitted (2025)

Code: link
The Maslov Index, Degenerate Crossings and the Stability of Pulse Solutions to the Swift-Hohenberg equation.

M. Beck, J. Jaquette, H. Pieper

Journal of Dynamics and Differential Equations (2025): 1–55

Code: link | Preprint: arXiv
Mechanisms of unstable blowup in a quadratic nonlinear Schrödinger equation.

J. Jaquette

Journal of Nonlinear Science 35, no. 6 (2025): 114

Code: link
Validated matrix multiplication transform for orthogonal polynomials with applications to computer-assisted proofs for PDEs.

M. Cadiot, J. Jaquette, J-P. Lessard, A. Takayasu

Communications in Nonlinear Science and Numerical Simulation (2025): 109063

Code: link
Reliability and robustness of oscillations in some slow-fast chaotic systems.

J Jaquette, S Kedia, E Sander, J Touboul

Chaos (2023)

Code: link
Singularities and Heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity.

J Jaquette, JP Lessard, A Takayasu

Commun Nonlinear Sci Numer Simulat (2022)

Code: link
Quasiperiodicity and blowup in integrable subsystems of nonconservative nonlinear Schrödinger equations.

J Jaquette

Journal of Dynamics and Differential Equations (2022)

Code: link
Validated spectral stability via conjugate points.

M Beck, J Jaquette

SIAM Journal on Applied Dynamical Systems (2022)

Code: link
Global dynamics in nonconservative nonlinear Schrödinger equations.

J Jaquette, JP Lessard, A Takayasu

Advances in Mathematics (2022)

Code: link
Validated Numerical Approximation of Stable Manifolds for Parabolic Partial Differential Equations.

JB van den Berg, J Jaquette, JD Mireles James

Journal of Dynamics and Differential Equations (2022)

Code: link
Rigorous numerics for nonlinear heat equations in the complex plane of time.

A Takayasu, JP Lessard, J Jaquette, H Okamoto

Numerische Mathematik (2022)

Code: zip
Fractal dimension estimation with persistent homology: A comparative study.

J Jaquette, B Schweinhart

Communications in Nonlinear Science and Numerical Simulation (2020)

Code: link
A proof of Jones' conjecture.

J. Jaquette

Journal of Differential Equations (2019)

Code: zip
A proof of Wright's conjecture.

J.B. van den Berg and J. Jaquette

Journal of Differential Equations (2018)

Code: nb pdf | Talk: SIAM video
Stability and Uniqueness of Slowly Oscillating Periodic Solutions to Wright's Equation.

J. Jaquette, J.P. Lessard and K. Mischaikow

Journal of Differential Equations, 263, no. 11 (2017): 7263-7286

Code: zip
On ε-Approximations of Persistence Diagrams.

J. Jaquette and M. Kramar

Mathematics of Computation 86, no. 306 (2017): 1887-1912

Code: zip