4 papers
Periodic and quasiperiodic traveling waves in nonlinear lattices with odd elasticity
Andrus Giraldo, Stefan Ruschel, Behrooz Yousefzadeh
Discrete nonlinear systems support a rich variety of localized and extended wave phenomena, with their dynamics sensitively dependent on the symmetries of the underlying interactio…
Watch your neighbors: Training statistically accurate chaotic systems with local phase space information
Joon-Hyuk Ko, Andrus Giraldo, Deok-Sun Lee
Chaotic systems pose fundamental challenges for data-driven dynamics discovery, as small modeling errors lead to exponentially growing trajectory discrepancies. Since exact long-te…
Master stability for traveling waves on networks
Stefan Ruschel, Andrus Giraldo
We present a framework for determining effectively the spectrum and stability of traveling waves on networks with symmetries, such as rings and lattices, by computing master stabil…
A kneading map of chaotic switching oscillations in a Kerr cavity with two interacting light fields
Rodrigues D. Dikandé Bitha, Andrus Giraldo, Neil G. R. Broderick +1
Optical systems that combine nonlinearity with coupling between various subsystems offer a flexible platform for observing a diverse range of nonlinear dynamics. Furthermore, engin…