Amanda Hampton, Department of Applied Mathematics, University of Colorado Boulder Anti-integrability for Quadratic Volume Preserving Maps The dynamics of volume preserving maps can model a variety of mixing problems ranging from microscopic granular mixing, to dispersion of pollutants over our planet's atmosphere. We study a general quadratic volume preserving map...
Perrin Ruth, Department of Applied Mathematics, University of Colorado Boulder Dodge and survive: modeling the predatory nature of dodgeball The analysis of games and sports as complex systems can give insights into the dynamics of human competition, and has been proven useful in soccer, basketball, and other professional sports. In...
Juan Restrepo, Department of Applied Mathematics, University of Colorado Boulder Using machine learning to assess short term causal dependence and infer network links The general problem of determining causal dependencies in an unknown time-evolving system from time series observations is of great interest in many fields. Examples include inferring neuronal...
Nathan Duignan, Department of Applied Mathematics, University of Colorado Boulder Non-Existence of Invariant Surfaces Transverse to Foliations Of fundamental importance to the qualitative understanding of dynamical systems are invariant manifolds. In this presentation we will explore a recent paper of MacKay on a condition which guarantees the non-existence of invariant...
Nicholas Landry, Department of Applied Mathematics, University of Colorado Boulder The effect of heterogeneity on hypergraph contagion models The dynamics of network social contagion processes such as opinion formation and epidemic spreading are often mediated by interactions between multiple nodes. Previous results have shown that these higher-order interactions can profoundly...
Bernd Krauskopf and Hinka Osinga Department of Mathematics, University of Auckland Hetero-dimensional Cycles and Blenders Recent theoretical work on partially hyperbolic systems by Bonatti and Diaz (and others) has shown that chaotic dynamics may occur C1-robustly in diffeomorphisms of dimension at least three. More specifically, the existence of hetero-dimensional cycles...
Data-driven modeling of zebrafish individual and collective behavior Zebrafish have recently emerged as an important animal model in preclinical studies due to their genetic similarity with humans and ease of use in laboratory studies. Along with this growing interest, experimentation with zebrafish poses ethical issues regarding animal use, thereby requiring...
Statistical Description of Hamiltonian Mixed Phase space systems and many Body Localization Typical physical systems follow deterministic behavior. This behavior can be sensitive to initial conditions, such that it is very difficult to predict their behavior in the longtime limit. The resulting motion is chaotic and looks stochastic or random...
Dynamics of Nonlinear Random Walks on Complex Networks Random walks serve as an important tool in the complex networks community due to widespread applications including Google’ PageRank algorithm, community detection, network exploration, and modeling transport. A typical random walk on a network consist of a linear discrete-time dynamical systems, or...
Suspensions of active particles in fluids exhibit incredibly rich behavior, from organization on length scales much longer than the individual particle size to mixing flows and negative viscosities. We will discuss the dynamics of hydrodynamically interacting motile and non-motile stress-generating swimmers or particles as they invade a surrounding viscous fluid,...
