Publications associées à Nonlinear system

Non-intrusive data-driven reduced-order modeling for time-dependent parametrized problems

Reduced-order models are indispensable for multi-query or real-time problems. However, there are still many challenges to constructing efficient ROMs for time-dependent parametrized problems. Using a linear reduced space is inefficient for time-dependent n ...

San Diego2023

A graduate laboratory experiment to study the dynamics of an acoustically levitated particle

Mahmut Selman Sakar, Lorenzo Francesco John Noseda, Amit Yedidia Dolev, Bora Yalcin

The comprehension of physical wave phenomena is imperative for students in the fields of engineering and basic sciences. Laboratory experiments that involve generation of acoustic waves can be used to explain advanced nonlinear wave phenomena. Acoustic lev ...

2023

Unconstrained Parametrization of Dissipative and Contracting Neural Ordinary Differential Equations

Giancarlo Ferrari Trecate, Luca Furieri, Clara Lucía Galimberti, Daniele Martinelli

In this work, we introduce and study a class of Deep Neural Networks (DNNs) in continuous-time. The proposed architecture stems from the combination of Neural Ordinary Differential Equations (Neural ODEs) with the model structure of recently introduced Rec ...

New York2023

A Simple, Closed-Form Method for Determining the Superelevation of Tall Reinforced Concrete Buildings

David Michael Volpe Ruggiero, Paola Costanza Miglietta

The vertical shortening of tall buildings is not negligible, and it is important to account for these deformations to minimize differential movement and ensure that the finished building is level. Compensation via superelevation is common in reinforced con ...

Springer2023

Control-oriented modeling and analysis of tubular dielectric elastomer actuators dedicated to cardiac assist devices

Yves Perriard, Yoan René Cyrille Civet, Thomas Guillaume Martinez, Armando Matthieu Walter, Ning Liu

This paper deals with the control-oriented modeling of a multilayered dielectric elastomer actuator based tube. The actuator is clamped at both sides and performs a radial displacement. The hyperelastic deformation and the viscoelastic performance, togethe ...

2022

Invariant tori in dissipative hyperchaos

Tobias Schneider, Jeremy Peter Parker

One approach to understand the chaotic dynamics of nonlinear dissipative systems is the study of non-chaotic yet dynamically unstable invariant solutions embedded in the system's chaotic attractor. The significance of zero-dimensional unstable fixed points ...

AIP Publishing2022

Balancing high-speed rotors at low speed using optimized parametric excitation and tuned nonlinear feedback

Amit Yedidia Dolev

The paper presents an improved slow-speed mass balancing procedure capable of reducing high-speed related imbalance. Parametric excitation is used to project the small imbalance forces onto a chosen mode of vibration, corresponding to a high critical rotat ...

PERGAMON-ELSEVIER SCIENCE LTD2022

Non-Linear Behaviors In The Dynamics Of Complex Systems Through A Multifractal Hydrodynamic Model

Maria-Alexandra Paun

Some non-linear behaviors in the dynamics of complex systems using the Scale Relativity Theory in the form of Multifractal Hydrodynamic Model are analyzed. By assimilating any complex system to a mathematical multifractal-type object, it is shown that the ...

UNIV POLITEHNICA BUCHAREST, SCI BULL2022

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Nonlinear system

Non-intrusive data-driven reduced-order modeling for time-dependent parametrized problems

A graduate laboratory experiment to study the dynamics of an acoustically levitated particle

Unconstrained Parametrization of Dissipative and Contracting Neural Ordinary Differential Equations

Nonlinear saturation of resistive tearing modes in a cylindrical tokamak with and without solving the dynamics

A Simple, Closed-Form Method for Determining the Superelevation of Tall Reinforced Concrete Buildings

Control-oriented modeling and analysis of tubular dielectric elastomer actuators dedicated to cardiac assist devices

Invariant tori in dissipative hyperchaos

Balancing high-speed rotors at low speed using optimized parametric excitation and tuned nonlinear feedback

Non-Linear Behaviors In The Dynamics Of Complex Systems Through A Multifractal Hydrodynamic Model

Preconditioners for robust optimal control problems under uncertainty

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Chattez avec Graph Search

Preconditioners for robust optimal control problems under uncertainty

Nonlinear saturation of resistive tearing modes in a cylindrical tokamak with and without solving the dynamics

Balancing high-speed rotors at low speed using optimized parametric excitation and tuned nonlinear feedback

A Simple, Closed-Form Method for Determining the Superelevation of Tall Reinforced Concrete Buildings

Invariant tori in dissipative hyperchaos

A graduate laboratory experiment to study the dynamics of an acoustically levitated particle

Non-intrusive data-driven reduced-order modeling for time-dependent parametrized problems

Control-oriented modeling and analysis of tubular dielectric elastomer actuators dedicated to cardiac assist devices

Unconstrained Parametrization of Dissipative and Contracting Neural Ordinary Differential Equations

Non-Linear Behaviors In The Dynamics Of Complex Systems Through A Multifractal Hydrodynamic Model