17 citations · 28 across the 2 of their papers we have counts for
5 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…
Mixing and transport from combined stretching-and-folding and cutting-and-shuffling
Lachlan D. Smith, Paul B. Umbanhowar, Julio M. Ottino +1
While structures and bifurcations controlling tracer particle transport and mixing have been studied extensively for systems with only stretching-and-folding, and to a lesser exten…
Mixing of discontinuously deforming media
Lachlan D. Smith, Murray Rudman, Daniel R. Lester +1
Mixing of materials is fundamental to many natural phenomena and engineering applications. The presence of discontinuous deformations - such as shear banding or wall slip - creates…