Comments on Symplectic bipotentials arXiv:2410.23122

TL;DR

This paper critiques a recent article on symplectic bipotentials, arguing that its main content is already covered in prior works and citing numerous references.

Contribution

The authors provide a detailed comparison showing that most claims in the recent article are not novel and are previously established in earlier literature.

Findings

Most content in the article is covered in prior works.

Several references already introduced symplectic bipotentials.

The critique clarifies the novelty and originality of the existing literature.

Abstract

This is a reaction to the article Symplectic bipotentials, in published form [2] Harakeh M, Ban M, de Saxce G. Symplectic bipotentials. Mathematics and Mechanics of Solids. 2026;0(0) doi:10.1177/10812865251413554, and in preprint form [1] arXiv:2410.23122v1. We give evidence that most of the content of the article [2] is already covered in previous works, partially cited like [7] arXiv:0810.1419 [math.FA], or uncited, like [10] arXiv:1902.04598 [math-ph], [3] arXiv:2304.14158 [math-ph], which already introduced and studied symplectic bipotentials. These comments also apply to the conference paper version of [1] arXiv:2410.23122v1, namely to the article Harakeh, M., Ban, M., de Saxce, G. (2026). Symplectic Bipotentials for the Dynamics of Dissipative Systems with Non Associated Constitutive Laws. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2025. Lecture Notes in Computer Science, vol 16034. Springer, Cham. doi:10.1007/978-3-032-03921-7_31 .