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20162023
most citedThe Poincaré-Bendixson Theorem and the Non-linear Cauchy-Riemann Equations

5 citations · 6 across the 6 of their papers we have counts for

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math.DS2022

Towards computational Morse-Floer homology: forcing results for connecting orbits by computing relative indices of critical points

Jan Bouwe van den Berg, Marcio Gameiro, Jean-Philippe Lessard +1

To make progress towards better computability of Morse-Floer homology, and thus enhance the applicability of Floer theory, it is essential to have tools to determine the relative i…

math.DS2020

Validated Numerical Approximation of Stable Manifolds for Parabolic Partial Differential Equations

Jan Bouwe van den Berg, Jonathan Jaquette, J. D. Mireles James

This paper develops validated computational methods for studying infinite dimensional stable manifolds at equilibrium solutions of parabolic PDEs, synthesizing disparate errors res…

math.DS2017

A proof of Wright's conjecture

Jan Bouwe van den Berg, Jonathan Jaquette

Wright's conjecture states that the origin is the global attractor for the delay differential equation for all . This has bee…