43 citations · 251 across the 21 of their papers we have counts for
21 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…
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…
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…
Bifurcations and multistability in empirical mutualistic networks
Andrus Giraldo, Deok-Sun Lee
Individual species may experience diverse outcomes, from prosperity to extinction, in an ecological community subject to external and internal variations. Despite the wealth of the…
Bifurcations of Periodic Orbits in the Generalised Nonlinear Schrödinger Equation
Ravindra Bandara, Andrus Giraldo, Neil G. R. Broderick +1
We focus on the existence and persistence of families of saddle periodic orbits in a four-dimensional Hamiltonian reversible ordinary differential equation derived using a travelli…
Complex switching dynamics of interacting light in a ring resonator
Rodrigues D. Dikandé Bitha, Andrus Giraldo, Neil G. R. Broderick +1
Microresonators are micron-scale optical systems that confine light using total internal reflection. These optical systems have gained interest in the last two decades due to their…
Generalized and multi-oscillation solitons in the Nonlinear Schrödinger Equation with quartic dispersion
Ravindra Bandara, Andrus Giraldo, Neil G. R. Broderick +1
We study different types of solitons of a generalized nonlinear Schrödinger equation (GNLSE) that models optical pulses traveling down an optical waveguide with quadratic as well a…
Restoring the reciprocity invariance in nonlinear systems with broken mirror symmetry
Andrus Giraldo, Behrooz Yousefzadeh
Circumventing the reciprocity invariance has posed an interesting challenge in the design of modern devices for wave engineering. In passive devices, operating the device in the no…
Cascades of Global Bifurcations and Chaos near a Homoclinic Flip Bifurcation: A Case Study
Andrus Giraldo, Bernd Krauskopf, Hinke M. Osinga
We study a homoclinic flip bifurcation of case~\textbf{C}, where a homoclinic orbit to a saddle equilibrium with real eigenvalues changes from being orientable to nonorientable. Th…
Saddle Invariant Objects and their Global Manifolds in a Neighborhood of a Homoclinic Flip Bifurcation of Case B
Andrus Giraldo, Bernd Krauskopf, Hinke M. Osinga
When a real saddle equilibrium in a three-dimensional vector field undergoes a homoclinic bifurcation, the associated two-dimensional invariant manifold of the equilibrium closes o…
Pulse-adding of Temporal Dissipative Solitons: Resonant Homoclinic Points and the Orbit Flip of Case B with Delay
Andrus Giraldo, Stefan Ruschel
We numerically investigate the branching of temporally localized, two-pulse periodic traveling waves from one-pulse periodic traveling waves with non-oscillating tails in delay dif…
Computing connecting orbits to infinity associated with a homoclinic flip bifurcation
Andrus Giraldo, Bernd Krauskopf, Hinke M. Osinga
We consider the bifurcation diagram in a suitable parameter plane of a quadratic vector field in that features a homoclinic flip bifurcation of the most complicated…
Lasing and counter-lasing phase transitions in a cavity QED system
Kevin C. Stitely, Andrus Giraldo, Bernd Krauskopf +1
We study the effect of spontaneous emission and incoherent atomic pumping on the nonlinear semiclassical dynamics of the unbalanced Dicke model -- a generalization of the Dicke mod…
Semiclassical bifurcations and quantum trajectories: a case study of the open Bose-Hubbard dimer
Andrus Giraldo, Stuart J. Masson, Neil G. R. Broderick +1
We consider the open two-site Bose-Hubbard dimer, a well-known quantum mechanical model that has been realised recently for photons in two coupled photonic crystal nanocavities. Th…
Spontaneous symmetry breaking in a coherently driven nanophotonic Bose-Hubbard dimer
B. Garbin, A. Giraldo, K. J. H. Peters +7
We report on the first experimental observation of spontaneous mirror symmetry breaking (SSB) in coherently driven-dissipative coupled optical cavities. SSB is observed as the brea…
Chaotic switching in driven-dissipative Bose-Hubbard dimers: when a flip bifurcation meets a T-point in
Andrus Giraldo, Neil G. R. Broderick, Bernd Krauskopf
The Bose--Hubbard dimer model is a celebrated fundamental quantum mechanical model that accounts for the dynamics of bosons at two interacting sites. It has been realized experimen…
Infinitely Many Multipulse Solitons of Different Symmetry Types in the Nonlinear Schrödinger Equation with Quartic Dispersion
Ravindra Bandara, Andrus Giraldo, Neil G. R. Broderick +1
We show that the generalised nonlinear Schrödinger equation (GNLSE) with quartic dispersion supports infinitely many multipulse solitons for a wide parameter range of the dispersio…
Superradiant Switching, Quantum Hysteresis, and Oscillations in a Generalized Dicke Model
Kevin Stitely, Stuart J Masson, Andrus Giraldo +2
We demonstrate quantum signatures of deterministic nonlinear dynamics in the transition to superradiance of a generalized open Dicke model with different coupling strengths for the…
The nonlinear semiclassical dynamics of the unbalanced, open Dicke model
Kevin Stitely, Andrus Giraldo, Bernd Krauskopf +1
In recent years there have been significant advances in the study of many-body interactions between atoms and light confined to optical cavities. One model which has received wides…
The driven-dissipative Bose-Hubbard dimer: phase diagram and chaos
A. Giraldo, B. Krauskopf, N. G. R. Broderick +2
We present the phase diagram of the mean-field driven-dissipative Bose-Hubbard dimer model. For a dimer with repulsive on-site interactions () and coherent driving we prove th…