papers

Publications (15)

math.DS2017

An early warning system for multivariate time series with sparse and non-uniform sampling

Andrew Roberts, Sasanka Are

In this paper we propose a new early warning test statistic, the ratio of deviations (RoD), which is defined to be the root mean squared of successive differences divided by the st…

cs.SE2017

Code review and cooperative pair programming best practice

Qiang Fu, Francis Grady, Bjoern Flemming Broberg +4

We need ways to improve the code quality. Programmers have different level of tenure and experience. Standard and programming languages change and we are forced to re-use legacy co…

math.DS2014

Mixed mode oscillations in a conceptual climate model

Andrew Roberts, Esther Widiasih, Chris K. R. T. Jones +1

Much work has been done on relaxation oscillations and other simple oscillators in conceptual climate models. However, the oscillatory patterns in climate data are often more compl…

math.DS2016

Relaxation oscillations in an idealized ocean circulation model

Andrew Roberts, Raj Saha

This work is motivated by a desire to understand transitions between stable equilibria observed in Stommel's 1961 thermohaline circulation model. We adapt the model, including a fo…

math.OC2012

A New Position Control Strategy for VTOL UAVs using IMU and GPS measurements

Andrew Roberts, Abdelhamid Tayebi

We propose a new position control strategy for VTOL-UAVs using IMU and GPS measurements. Since there is no sensor that measures the attitude, our approach does not rely on the know…

physics.ao-ph2016

Intrinsic unpredictability of strong El Niño events

John Guckenheimer, Andrew Roberts, Axel Timmermann +1

The El Niño-Southern Oscillation (ENSO) is a mode of interannual variability in the coupled equatorial ocean/atmosphere Pacific. El Niño describes a state in which sea surface te…

math.DS2016

Mixed mode oscillations of the El Niño-Southern Oscillation

Andrew Roberts, Esther Widiasih, Axel Timmermann +2

Very strong El Niño events occur sporadically every 10-20 years. The origin of this bursting behavior still remains elusive. Using a simplified 3-dimensional dynamical model of th…

math.DS2017

(Un)predictability of strong El Niño events

John Guckenheimer, Axel Timmermann, Henk Dijkstra +1

The El Niño-Southern Oscillation (ENSO) is a mode of interannual variability in the coupled equatorial Pacific coupled atmosphere/ocean system. El Niño describes a state in which…

cs.CR2025

FuzzSense: Towards A Modular Fuzzing Framework for Autonomous Driving Software

Andrew Roberts, Lorenz Teply, Mert D. Pese +3

Fuzz testing to find semantic control vulnerabilities is an essential activity to evaluate the robustness of autonomous driving (AD) software. Whilst there is a preponderance of di…

math.DS2016

Canard explosion and relaxation oscillation in planar, piecewise-smooth, continuous systems

Andrew Roberts

Classical canard explosion results in smooth systems require the vector field to be at least , since canard cycles are created as the result of a Hopf bifurcation. The work on…

math.DS2014

Canard-like phenomena in piecewise-smooth Van der Pol systems

Andrew Roberts, Paul Glendinning

We show that a nonlinear, piecewise-smooth, planar dynamical system can exhibit canard phenomena. Canard solutions and explosion in nonlinear, piecewise-smooth systems can be quali…

physics.ao-ph2026

Stochastic Emulation of a Fully Coupled Preindustrial E3SMv3 Simulation

Elynn Wu, James P. C. Duncan, Troy Arcomano +11

We present a stochastic coupled emulator of E3SM version 3, built on the SamudrACE framework, which couples an atmosphere emulator (ACE2) with a full-depth ocean emulator (Samudra)…

math.DS2015

Persistence of Saddle Behavior in the Nonsmooth Limit of Smooth Dynamical Systems

Julie Leifeld, Kaitlin Hill, Andrew Roberts

Models such as those involving abrupt changes in the Earth's reflectivity due to ice melt and formation often use nonlinear terms (e.g., hyperbolic tangent) to model the transition…

cs.CR2024

REACT: Autonomous Intrusion Response System for Intelligent Vehicles

Mohammad Hamad, Andreas Finkenzeller, Michael Kühr +4

Autonomous and connected vehicles are rapidly evolving, integrating numerous technologies and software. This progress, however, has made them appealing targets for cybersecurity at…

math.DS2018

Detecting transient rate-tipping using Steklov averages and Lyapunov vectors

Alanna Hoyer-Leitzel, Alice Nadeau, Andrew Roberts +1

A wide variety of physical systems ranging from the firing of neurons to eutrophication of lakes to the presence of Arctic summer sea ice exhibit a phenomenon known as tipping. In…