18 citations · 86 across the 9 of their papers we have counts for
10 papers
Model Reduction for the Kuramoto-Sakaguchi Model: The Importance of Non-entrained Rogue Oscillators
Wenqi Yue, Lachlan D. Smith, Georg A. Gottwald
The Kuramoto-Sakaguchi model for coupled phase oscillators with phase-frustration is often studied in the thermodynamic limit of infinitely many oscillators. Here we extend a model…
Model reduction for the collective dynamics of globally coupled oscillators: From finite networks to the thermodynamic limit
Lachlan D Smith, Georg A Gottwald
Model reduction techniques have been widely used to study the collective behavior of globally coupled oscillators. However, most approaches assume that there are infinitely many os…
Chaos in networks of coupled oscillators with multimodal natural frequency distributions
Lachlan D. Smith, Georg A. Gottwald
We explore chaos in the Kuramoto model with multimodal distributions of the natural frequencies of oscillators and provide a comprehensive description under what conditions chaos o…
Cutting and shuffling a hemisphere: non-orthogonal axes
Thomas F. Lynn, Lachlan D. Smith, Julio M. Ottino +2
We examine the dynamics of cutting-and-shuffling a hemispherical shell driven by alternate rotation about two horizontal axes using the framework of piecewise isometry (PWI) theory…
Optimized mixing by cutting-and-shuffling
Lachlan D. Smith, Paul B. Umbanhowar, Julio M. Ottino +1
Mixing by cutting-and-shuffling can be understood and predicted using dynamical systems based tools and techniques. In existing studies, mixing is generated by maps that repeat the…
Chaos and the Flow Capture Problem: Polluting is Easy, Cleaning is Hard
Lachlan D. Smith, Guy Metcalfe, Julio M. Ottino
Cleaning pollution from a heterogeneous flow environment is far from simple. We consider the flow capture problem, which has flows and sinks in a heterogeneous environment, and inv…