Optoelectronic oscillators with time-delayed feedback

YK Chembo, D Brunner, M Jacquot, L Larger - Reviews of Modern Physics, 2019 - APS
Time-delayed optoelectronic oscillators are at the center of a large body of scientific
literature. The complex behavior of these nonlinear oscillators has been thoroughly explored …

Photonic information processing beyond Turing: an optoelectronic implementation of reservoir computing

L Larger, MC Soriano, D Brunner, L Appeltant… - Optics express, 2012 - opg.optica.org
Many information processing challenges are difficult to solve with traditional Turing or von
Neumann approaches. Implementing unconventional computational methods is therefore …

[PDF][PDF] Applied Delay Differential Equations

T Erneux - Springer google schola, 2009 - dspace.kottakkalfarookcollege.edu …
Qu'est-ce que le passé, sinon du présent qui est en retard? Pierre Dac (l'osa moelle, March
1940) Modeling automatic engines or physiological systems often involves the idea of …

Chaotic breathers in delayed electro-optical systems

Y Chembo Kouomou, P Colet, L Larger, N Gastaud - Physical review letters, 2005 - APS
We show that in integro-differential delayed dynamical systems, a hybrid state of
simultaneous fast-scale chaos and slow-scale periodicity can emerge subsequently to a …

Delay Fokker-Planck equations, Novikov's theorem, and Boltzmann distributions as small delay approximations

TD Frank - Physical Review E—Statistical, Nonlinear, and Soft …, 2005 - APS
We study time-delayed stochastic systems that can be described by means of so-called
delay Fokker-Planck equations. Using Novikov's theorem, we first show that the theory of …

Delay Fokker-Planck equations, perturbation theory, and data analysis for nonlinear stochastic systems with time delays

TD Frank - Physical Review E—Statistical, Nonlinear, and Soft …, 2005 - APS
We study nonlinear stochastic systems with time-delayed feedback using the concept of
delay Fokker-Planck equations introduced by Guillouzic, L'Heureux, and Longtin. We derive …

Nonlinear dynamics and spectral stability of optoelectronic microwave oscillators

YK Chembo, L Larger, P Colet - IEEE journal of quantum …, 2008 - ieeexplore.ieee.org
We use a nonlinear dynamics approach to study the deterministic behavior of ultrapure
microwave generators referred to as optoelectronic oscillators. In conventional studies, the …

Genetic oscillation deduced from Hopf bifurcation in a genetic regulatory network with delays

M Xiao, J Cao - Mathematical biosciences, 2008 - Elsevier
To understand how a gene regulatory network functioning as an oscillator is built, a genetic
regulatory network with two transcriptional delays is investigated. We show by mathematical …

[PDF][PDF] Reservoir computing based on delay-dynamical systems

L Appeltant - These de Doctorat, Vrije Universiteit Brussel/Universitat …, 2012 - core.ac.uk
Novel methods for information processing are highly desired in our information driven
society. While traditional Von Neumann computer architectures or Turing approaches [1] …

Strongly asymmetric square waves in a time-delayed system

L Weicker, T Erneux, O d'Huys, J Danckaert… - Physical Review E …, 2012 - APS
Time-delayed systems are known to exhibit symmetric square waves oscillating with a
period close to twice the delay. Here, we show that strongly asymmetric square waves of a …