Tootfinder

Koopman Control Factorization: Data-Driven Convex Controller Design for a Class of Nonlinear Systems
Taha Ondogan, Ran Jing, Andrew P. Sabelhaus, Roberto Tron
https://arxiv.org/abs/2510.05359

Koopman Control Factorization: Data-Driven Convex Controller Design for a Class of Nonlinear Systems
Although Koopman operators provide a global linearization for autonomous dynamical systems, nonautonomous systems are not globally linear in the inputs. State (or output) feedback controller design therefore remains nonconvex in typical formulations, even with approximations via bilinear control-affine terms. We address this gap by introducing the Koopman Control Factorization, a novel parameterization of control-affine dynamical systems combined with a feedback controller defined as a linear c…

Bayesian Transfer Operators in Reproducing Kernel Hilbert Spaces
Septimus Boshoff, Sebastian Peitz, Stefan Klus
https://arxiv.org/abs/2509.22482 https://ar…

Bayesian Transfer Operators in Reproducing Kernel Hilbert Spaces
The Koopman operator, as a linear representation of a nonlinear dynamical system, has been attracting attention in many fields of science. Recently, Koopman operator theory has been combined with another concept that is popular in data science: reproducing kernel Hilbert spaces. We follow this thread into Gaussian process methods, and illustrate how these methods can alleviate two pervasive problems with kernel-based Koopman algorithms. The first being sparsity: most kernel methods do not scale…

Explicit formulae for the Aicardi-Juyumaya bracket of tied links
O'Bryan C\'ardenas-Andaur, Juan Gonz\'alez-Meneses, Marithania Silvero
https://arxiv.org/abs/2510.02075

Explicit formulae for the Aicardi-Juyumaya bracket of tied links
The double bracket $\langle \langle \cdot \rangle \rangle$ (also known as the AJ-bracket) is an invariant of framed tied links that extends the Kauffman bracket of classical links. Unlike the classical setting, little is known about the structure of AJ-states (analogous to classical Kauffman states) of a given tied link diagram, and no general state-sum formula for the AJ-bracket is currently available. In this paper we analyze the AJ-states of $2$- and $3$-tied link diagrams, and provide a com…

Replaced article(s) found for q-bio.PE. https://arxiv.org/list/q-bio.PE/new
[1/1]:
- The TAP equation: evaluating combinatorial innovation in Biocosmology
Marina Cort\^es, Stuart A. Kauffman, Andrew R. Liddle, Lee Smolin

Topological chaos in the two-gene Andrecut-Kauffman model
J\"org Neunh\"auserer
https://arxiv.org/abs/2509.11881 https://arxiv.org/pdf/2509.11881…

Topological chaos in the two-gene Andrecut-Kauffman model
The two-gene Andrecut-Kauffman model describes gene expression within cells by a two-dimensional discrete dynamical system. Using periodic orbits of an one dimensional subsystem we, rigourously prove the existence of topological chaos in this system. In addition we compute parameter domains of the system where we have topological chaos.