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Related publications (30)

Machine learning for fast and reliable solution of time-dependent differential equations

Alfio Quarteroni, Francesco Regazzoni

We propose a data-driven Model Order Reduction (MOR) technique, based on Artificial Neural Networks (ANNs), applicable to dynamical systems arising from Ordinary Differential Equations (ODEs) or time-dependent Partial Differential Equations (PDEs). Unlike ...

2019

Anderson localisation in steady states of microcavity polaritons

Daniel Oberli, Marcia Portella Oberli, Mitchell David Anderson, Fauzia Jabeen, Morteza Navadeh Toupchi, Albert Adiyatullin

We present an experimental signature of the Anderson localisation of microcavity polaritons, and provide a systematic study of the dependence on disorder strength. We reveal a controllable degree of localisation, as characterised by the inverse-participati ...

Springer Nature2019

A Brief Survey on the Role of Dimensionality Reduction in Manipulation Learning and Control

Sylvain Calinon

Bio-inspired designs are motivated by efficiency, adaptability and robustness of biological systems dynamic behaviors in complex environment. Despite progress in design, the lack of sensory-motor and learning capabilities is the main drawback of human-like ...

2018

From the Lugiato-Lefever equation to microresonator-based soliton Kerr frequency combs

Tobias Kippenberg

The model, that is usually called the Lugiato-Lefever equation (LLE), was introduced in 1987 with the aim of providing a paradigm for dissipative structure and pattern formation in nonlinear optics. This model, describing a driven, detuned and damped nonli ...

ROYAL SOC2018

Dissipative particle dynamics simulations of tri-block co-polymer and water: Phase diagram validation and microstructure identification

Ignacio Pagonabarraga Mora

In this study, the phase diagram of Pluronic L64 and water is simulated via dissipative particle dynamics (DPD). The peculiar structures that form when the concentration varies from dilute to dense (i.e., spherical and rod-like micelles, hexagonal and lame ...

2018

Coexistence of Multiple Nonlinear States in a Tristable Passive Kerr Resonator

Miles Henry Anderson

Passive Kerr cavities driven by coherent laser fields display a rich landscape of nonlinear physics, including bistability, pattern formation, and localized dissipative structures (solitons). Their conceptual simplicity has for several decades offered an u ...

American Physical Society2017

Identification of a Predator-Prey System from Simulation Data of a Convection Model

Jan Sickmann Hesthaven

The use of low-dimensional dynamical systems as reduced models for plasma dynamics is useful as solving an initial value problem requires much less computational resources than fluid simulations. We utilize a data-driven modeling approach to identify a red ...

American Institute of Physics2017

Structure-Preserving Model-Reduction of Dissipative Hamiltonian Systems

Jan Sickmann Hesthaven, Babak Maboudi Afkham

Reduced basis methods are popular for approximately solving large and complex systems of dierential equations. However, conventional reduced basis methods do not generally preserve conservation laws and symmetries of the full order model. Here, we present ...

2019

Matrix-product-operator approach to the nonequilibrium steady state of driven-dissipative quantum arrays

Vincenzo Savona, Hugo Pierre Alexandre Flayac, Eduardo Carlo Mascarenhas Moraes

We develop a numerical procedure to efficiently model the nonequilibrium steady state of one-dimensional arrays of open quantum systems based on a matrix-product operator ansatz for the density matrix. The procedure searches for the null eigenvalue of the ...

American Physical Society2015

Advancing catchment hydrology to deal with predictions under change

Steven Vincent Weijs

Throughout its historical development, hydrology as an earth science, but especially as a problem-centred engineering discipline has largely relied (quite successfully) on the assumption of stationarity. This includes assuming time invariance of boundary c ...

Copernicus Gesellschaft Mbh2014

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