Finite determining parameters feedback control for distributed nonlinear dissipative systems-a computational study

E Lunasin, ES Titi - arxiv preprint arxiv:1506.03709, 2015 - arxiv.org
We present a computational study of a simple finite-dimensional feedback control algorithm
for stabilizing solutions of infinite-dimensional dissipative evolution equations such as …

Learning spatiotemporal chaos using next-generation reservoir computing

WAS Barbosa, DJ Gauthier - Chaos: An Interdisciplinary Journal of …, 2022 - pubs.aip.org
Forecasting the behavior of high-dimensional dynamical systems using machine learning
requires efficient methods to learn the underlying physical model. We demonstrate …

Dynamic magnetic characteristics of the kinetic Ising model under the influence of randomness

B Li, W Wang - Physical Review E, 2024 - APS
In this paper, we propose to solve the issues of long-range or next-neighbor interactions by
introducing randomness. This approach is applied to the square lattice Ising model. The …

Complex dynamics and synchronization of delayed-feedback nonlinear oscillators

TE Murphy, AB Cohen, B Ravoori… - … of the Royal …, 2010 - royalsocietypublishing.org
We describe a flexible and modular delayed-feedback nonlinear oscillator that is capable of
generating a wide range of dynamical behaviours, from periodic oscillations to high …

Delayed feedback dynamics of Liénard-type resonant tunneling-photo-detector optoelectronic oscillators

B Romeira, J Javaloyes, JML Figueiredo… - IEEE Journal of …, 2012 - ieeexplore.ieee.org
We use the nonlinear dynamics approach for studying delayed feedback optoelectronic
oscillators (OEOs) formed by hybrid integration of resonant tunneling diode (RTD) photo …

[KNJIGA][B] Resonant Tunnelling Diode Photonics Devices and Applications

C Ironside, B Romeira, J Figueiredo - 2023 - iopscience.iop.org
The resonant tunnelling diode (RTD) is a semiconductor device that can act as the highest
speed electronic amplifier and oscillator (bandwidth> 1 THz). It is made using ultrathin (< 10 …

Controlling spatiotemporal chaos in active dissipative-dispersive nonlinear systems

SN Gomes, M Pradas, S Kalliadasis, DT Papageorgiou… - Physical Review E, 2015 - APS
We present an alternative methodology for the stabilization and control of infinite-
dimensional dynamical systems exhibiting low-dimensional spatiotemporal chaos. We show …

Self-synchronization of laser modes and multistability in quantum cascade lasers

AK Wójcik, N Yu, L Diehl, F Capasso, A Belyanin - Physical review letters, 2011 - APS
We predict and confirm experimentally the regime of complete synchronization between
lateral modes in a quantum cascade laser, when frequency combs belonging to different …

Period doubling and route to chaos in reduced graphene oxide, an experimental evidence

M Faraji, MA Sharif, M Borjkhani, K Ashabi - Journal of Molecular Liquids, 2018 - Elsevier
Abstract We use Nonlinear Schrödinger Equation (NLSE) to investigate chaotic dynamics
inside a graphene-based optical system. Numerical results show that with increasing the …

Complex structures in cavities with media displaying EIT: coexistence, defects and selection mechanism

M Eslami, R Kheradmand… - Journal of Physics B …, 2020 - iopscience.iop.org
A cavity filled with a medium displaying electromagnetically induced transparency is shown
to exhibit coexistence of complex transverse structures often leading to pattern competition …