Dynamics of particles in stationary and oscillating flows The motion of small bodies in a hydrodynamic flow is a classical problem of fluid dynamics. Since 1980s-1990s the corresponding studies have been largely intensified due to the new applications, such as tracing impurities in the ocean and new biomedical applications of...
Inferring latent networks from longitudinal relational data Longitudinal bipartite relational data characterize the evolution of relations between pairs of actors, where actors are of two distinct types and relations exist only between disparate types. A common goal is to understand the temporal dependencies, specifically which actor relations incite later actor...
Applications of Dynamical Systems Theory to Astrodynamics and Celestial Mechanics The underlying dynamical structures that exist within multi-body systems can be leveraged to enable the design of trajectories for missions to interplanetary destinations and to further our understanding of natural celestial transport – both within our solar system and beyond...
Scaling SIR to geophysical fluids This research is rooted in a desire to apply provably consistent Bayesian methods to select models for nonlinear multiscale dynamics that must be observed in high resolution. As a motivating example, we describe a geophysical mystery (the Madden-Julian Oscillation, MJO) for which it is reasonable...
Inspired by the gliding behavior of the paradise tree snake, Chrysopelea paradisi , I will discuss a simplified model for passive aerodynamic flight which gives an intuitive and dynamically rich 2 degree-of-freedom system. Within this model, all trajectories collapse onto a 1-dimensional manifold in velocity space: the terminal velocity manifold...
Nicholas Barendregt, Department of Applied Mathematics, University of Colorado Boulder Heteroclinic Cycling and Extinction in Winnerless Competition Models with Demographic Stochasticity The winnerless competition formulated by May and Leonard gives a deterministic way to model populations that interact in a rock-paper-scissors style of dominance. However, when applying this and other...
Do global sensitivity metrics for parameterized dynamical systems admit their own dynamical systems? Continuous time dynamical systems in applications include input parameters (rate constants, forcings, etc.) that must be set using measurement data. The calibration process introduces error in the fitted parameters. Part of assessing the effects of parameter error...
Spatiotemporal Dynamics of Neocortical Seizure Activity Seizures are defined as sudden, abnormal electrical disturbances in the brain. Patients diagnosed with epilepsy have chronic, recurrent seizures and often require clinical intervention to prevent these episodes. Unfortunately, a large portion of epilepsy patients do not respond to current treatment options, in part...
Collective Ecophysiology and Physics of Social Insects Collective behavior of organisms creates environmental micro-niches that buffer them from environmental fluctuations e.g. temperature, humidity, mechanical perturbations etc., thus coupling organismal physiology, environmental physics and population ecology. This talk will focus on a combination of biological experiments, theory and computation to understand...
Spacecraft Mission Design Mission design combines dynamics, control theory, and computation. Newton’s laws and computational tools are used to design spacecraft orbits to explore our solar system. Onboard controls are used to change the velocity and orientation of a spacecraft. When Newton’s equations of motion are formulated as a Hamiltonian...
