Cyclic symmetric dynamics in chaotic maps

J Liu, K Sun, H Wang - Chaos, Solitons & Fractals, 2024 - Elsevier
In a recent paper (Liu et al., 2024), we reported on the microscopic mechanism underlying
multistability in discrete dynamical systems, suggesting the potential for higher, even …

Theory and Examples of Catch Bonds

W Quapp, JM Bofill - The Journal of Physical Chemistry B, 2024 - ACS Publications
We discuss slip bonds, catch bonds, and the tug-of-war mechanism using mathematical
arguments. The aim is to explain the theoretical tool of molecular potential energy surfaces …

Thinner Latent Spaces: Detecting dimension and imposing invariance through autoencoder gradient constraints

GA Kevrekidis, M Maggioni, S Villar… - arxiv preprint arxiv …, 2024 - arxiv.org
Conformal Autoencoders are a neural network architecture that imposes orthogonality
conditions between the gradients of latent variables towards achieving disentangled …

Altering Selectivity in the Tug-of-War Mechanism by Mechanochemistry–with an Explanation of Catch Bond Behavior

W Quapp, JM Bofill - 2023 - preprints.org
We discuss slip bonds, catch bonds and the tug-of-war mechanism using mathematical
arguments. We propose simple 2-dimensional surface models to demonstrate how the …