Complex/Dynamical Systems Seminar - Bernd Kraukopf and Hinka Osinga

Oct. 3, 2019

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...

Complex/Dynamical Systems Seminar - Violet Mwaffo

March 21, 2019

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...

Complex/Dynamical Systems Seminar - Shmuel Fishman

Feb. 28, 2019

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...

Complex/Dynamical Systems Seminar - Sebastian Skardal

Feb. 14, 2019

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...

Complex/Dynamical Systems Seminar: Saverio Spagnolie

Feb. 7, 2019

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,...

Complex/Dynamical Systems Seminar - Lev Ostrovsky

Nov. 15, 2018

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...

Complex/Dynamical Systems Seminar - Bailey Fosdick

Nov. 8, 2018

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...

Complex/Dynamical Systems Seminar - Natasha Bosanac

Nov. 1, 2018

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...

Complex/Dynamical Systems Seminar - Gregor Robinson

Oct. 25, 2018

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...

Complex/Dynamical Systems Seminar - Gary Nave

Oct. 18, 2018

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...

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