Publications
See my
Google Scholar profile
for an up-to-date list of publications
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"The Maslov index, degenerate crossings and the stability of pulse solutions to the Swift-Hohenberg equation."
Margaret Beck, Jonathan Jaquette, Hannah Pieper
Submitted (2024)
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The MATLAB code associated with this paper can be found here:
link
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"Reliability and robustness of oscillations in some slow-fast chaotic systems."
J Jaquette, S Kedia, E Sander, J Touboul
Chaos (2023)
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The MATLAB code associated with this paper can be found here:
link
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"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)
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The MATLAB code associated with this paper can be found here:
link
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"Quasiperiodicity and blowup in integrable subsystems of nonconservative nonlinear Schrödinger equations."
J Jaquette
Journal of Dynamics and Differential Equations (2022)
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The MATLAB code associated with this paper can be found here:
link
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"Validated spectral stability via conjugate points."
M Beck, J Jaquette
SIAM Journal on Applied Dynamical Systems (2022)
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The C++ code associated with this paper can be found here:
link
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" Global dynamics in nonconservative nonlinear Schrödinger equations."
J Jaquette, JP Lessard, A Takayasu
Advances in Mathematics (2022)
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The MATLAB code associated with this paper can be found here:
link
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"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)
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The MATLAB code associated with this paper can be found here:
link
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"Rigorous numerics for nonlinear heat equations in the complex plane of time."
A Takayasu, JP Lessard, J Jaquette, H Okamoto
Numerische Mathematik (2022)
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The MATLAB code associated with this paper can be found here:
zip.
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"Fractal dimension estimation with persistent homology: A comparative study."
J Jaquette, B Schweinhart
Communications in Nonlinear Science and Numerical Simulation (2020)
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The code associated with this paper can be found here:
link
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"A proof of Jones' conjecture."
J. Jaquette,
Journal of Differential Equations, (2019).
- The MATLAB code associated with this paper can be found here:
zip
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"A proof of Wright's conjecture."
J.B. van den Berg and J. Jaquette,
Journal of Differential Equations, (2018).
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The Mathematica code associated with this paper can be downloaded here: nb pdf
Here is a 23 minute talk on this paper: link
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"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.
- The MATLAB code associated with this paper can be found here: zip
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"On ε-Approximations of Persistence Diagrams."
J. Jaquette and M. Kramar,
Mathematics of Computation 86, no. 306 (2017): 1887-1912.
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The C++ code associated with this paper can be downloaded here: zip