Results 51 to 60 of about 635,086 (230)

Homogeneous Approximation of One- Dimensional Series of Iterated Integrals and Time Optimality

Journal of Optimization, Differential Equations and Their Applications, 2023
In the paper we consider nonlinear systems depending linearly on control with one-dimensional output. As is well known, under the analyticity requirement, the output can be expressed as a series of iterated integrals of controls with scalar coefficients.
Daria M. Andreieva, Svetlana Yu. Ignatovich   +1 more
doaj   +1 more source

Freezing of Nonlinear Bloch Oscillations in the Generalized Discrete Nonlinear Schrodinger Equation

, 2004
The dynamics in a nonlinear Schrodinger chain in an homogeneous electric field is studied. We show that discrete translational invariant integrability-breaking terms can freeze the Bloch nonlinear oscillations and introduce new faster frequencies in ...
A. C. Scott, F. J. Cao, M. Bruschi, V. V. Konotop   +3 more
core   +2 more sources

The Theory and Applications of Hölder Widths

Axioms
We introduce the Hölder width, which measures the best error performance of some recent nonlinear approximation methods, such as deep neural network approximation. Then, we investigate the relationship between Hölder widths and other widths, showing that
Man Lu, Peixin Ye
doaj   +1 more source

Wave Energy Dissipation of Spilling and Plunging Breaking Waves in Spectral Models

Journal of Marine Science and Engineering, 2022
On the basis of field experiments and modeling, the dependence of the dissipation of the energy of waves breaking by plunging and spilling on the frequency of wave spectra was investigated. It was shown that the modeling of wave breaking should take into
Yana Saprykina, Burak Aydogan, Berna Ayat   +2 more
doaj   +1 more source

Nonlinear Screening and Effective Electrostatic Interactions in Charge-Stabilized Colloidal Suspensions

, 2004
A nonlinear response theory is developed and applied to electrostatic interactions between spherical macroions, screened by surrounding microions, in charge-stabilized colloidal suspensions.
A. R. Denton, B. V. Derjaguin, E. J. W. Verwey, F. Oosawa, I. S. Gradstein, J. Hafner, J.-P. Hansen, J.-P. Hansen, K. S. Schmitz, N. W. Ashcroft, P. N. Pusey, R. J. Hunter   +11 more
core   +1 more source

A fourth-order approximation Rayleigh-Plesset equation written in volume variation for an adiabatic-gas bubble in an ultrasonic field: Derivation and numerical solution

Results in Physics, 2021
The derivation of a nonlinear ordinary differential equation for modeling the nonlinear oscillations of a gas bubble placed in an ultrasonic field is performed in terms of bubble-volume variations up to the fourth-order approximation.
Christian Vanhille
doaj  

NARX Deep Convolutional Fuzzy System for Modelling Nonlinear Dynamic Processes

Mathematics, 2023
This paper presents a new approach for modelling nonlinear dynamic processes (NDP). It is based on a nonlinear autoregressive with exogenous (NARX) inputs model structure and a deep convolutional fuzzy system (DCFS).
Marjan Golob
doaj   +1 more source

Piecewise-linear and bilinear approaches to nonlinear differential equations approximation problem of computational structural mechanics

MATEC Web of Conferences, 2017
This paper presents a bilinear approach to nonlinear differential equations system approximation problem. Sometimes the nonlinear differential equations right-hand sides linearization is extremely difficult or even impossible.
Leibov Roman
doaj   +1 more source

Approximate solution to a generalized Van der Pol equation arising in plasma oscillations

AIP Advances, 2022
Motivated by some published theoretical investigations and based on the two-fluid model, nonlinear plasma oscillations are analyzed and discussed in the framework of the generalized Van der Pol equation.
Weaam Alhejaili, Alvaro H. Salas, S. A. El-Tantawy   +2 more
doaj   +1 more source

Wannier functions analysis of the nonlinear Schr\"{o}dinger equation with a periodic potential

, 2002
In the present Letter we use the Wannier function basis to construct lattice approximations of the nonlinear Schr\"{o}dinger equation with a periodic potential.
A. Trombettoni, A.A. Sukhorukov, B.P. Anderson, D. Jaksch, F. Dalfovo, F.K. Abdullaev, G. L. Alfimov, G.L. Alfimov, G.L. Alfimov, J. Coste, J. Peyraud, J.C. Slater, M. Bar, M. Salerno, M. Salerno, M.L. Chiofalo, N. Shigesada, P. G. Kevrekidis, P.G. Kevrekidis, P.G. Kevrekidis, V. V. Konotop, V.V. Konotop, W. Kohn, W.C.K. Mak   +23 more
core   +1 more source