31 citations · 155 across the 20 of their papers we have counts for
21 papers
Validation of Symmetry Induced Bifurcation Points in Nonlinear Diffusion Problems
Maxime Breden, Evelyn Sander, Thomas Wanner
Nonlinear parabolic partial differential equations frequently occur in the modeling of applied phenomena. They often exhibit complicated dynamics which is organized by their associ…
Finding attracting sets using combinatorial multivector fields
Justin Thorpe, Thomas Wanner
We discuss the identification of attracting sets using combinatorial multivector fields (CMVF) from Conley-Morse-Forman theory. A CMVF is a dynamical system induced by the action o…
Cyclic symmetry induced pitchfork bifurcations in the diblock copolymer model
Peter Rizzi, Evelyn Sander, Thomas Wanner
The Ohta-Kawasaki model for diblock copolymers exhibits a rich equilibrium bifurcation structure. Even on one-dimensional base domains the bifurcation set is characterized by high…
Equilibrium Validation for Triblock Copolymers via Inverse Norm Bounds for Fourth-Order Elliptic Operators
Peter Rizzi, Evelyn Sander, Thomas Wanner
Block copolymers play an important role in materials sciences and have found widespread use in many applications. From a mathematical perspective, they are governed by a nonlinear…
Combinatorial vs. classical dynamics: Recurrence
Marian Mrozek, Roman Srzednicki, Justin Thorpe +1
Establishing the existence of periodic orbits is one of the crucial and most intricate topics in the study of dynamical systems, and over the years, many methods have been develope…
Connection matrices in combinatorial topological dynamics
Marian Mrozek, Thomas Wanner
Connection matrices are one of the central tools in Conley's approach to the study of dynamical systems, as they provide information on the existence of connecting orbits in Morse…