Results 81 to 90 of about 79,013 (272)

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

Advanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +1 more source

Non-Localizability and Asymptotic Commutativity

, 1992
The mathematical formalism commonly used in treating nonlocal highly singular interactions is revised. The notion of support cone is introduced which replaces that of support for nonlocalizable distributions.
A. Cohen, A. Jaffe, A.V. Marshakov, D. Amati, D.J. Gross, F. Constantinescu, G.V. Efimov, G.V. Efimov, G.V. Efimov, I.M. Gelfand, J. Bümmerstede, J. Bümmerstede, J. Polchinski, J.J. Atick, K. Bordakci, L. Hörmander, M. A. Soloviev, M.A. Soloviev, M.A. Soloviev, M.A. Soloviev, M.A. Soloviev, M.A. Soloviev, M.B. Green, M.Z. Iofa, M.Z. Iofa, M.Z. Iofa, N.N. Meiman, R.F. Streater, S. Fubini, T. Kawai, V. Ya. Fainberg, V.Ya. Fainberg, V.Ya. Fainberg, V.Ya. Fainberg, W. Lücke, W. Lücke, W. Lücke   +36 more
core   +3 more sources

Equilibrium Propagation for Dissipative Dynamics

Advanced Intelligent Systems, EarlyView.
This work develops local learning rules for damped linear dynamical systems, including mechanical structures and resistor‐inductor‐capacitor (RLC) circuits, by leveraging an effective action formulation. It demonstrates how physical systems can autonomously compute gradients and learn temporal patterns, enabling applications such as sound ...
Marc Berneman, Daniel Hexner
wiley   +1 more source

Generalized Green’s functions for second-order discrete boundary-value problems with nonlocal boundary conditions

Lietuvos Matematikos Rinkinys, 2012
In this paper, generalized Green’s functions for second-order discrete boundaryvalue problems with nonlocal boundary conditions are investigated, where the necessary and sufficient existence condition of discrete Green’s function is not satisfied and ...
Gailė Paukštaitė, Artūras Štikonas
doaj   +1 more source

The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials

, 2011
This paper is concerned with the analysis of the Cauchy problem of a general class of two-dimensional nonlinear nonlocal wave equations governing anti-plane shear motions in nonlocal elasticity.
A Erkip, Adams R A, Andreu-Vaillo F, Constantin A, Duruk N, Eringen A C, H A Erbay, Kunin I A, Ladas G E, Levine H A, Ogden R W, Rogula D, Runst T, S Erbay, Taylor M E   +14 more
core   +1 more source

Material‐Based Intelligence: Autonomous Adaptation and Embodied Computation in Physical Substrates

Advanced Intelligent Systems, EarlyView.
This perspective formulates a unifying framework for Material‐Based Intelligence (MBI), defining the physical requirements for materials to achieve embodied action, active memory and embodied information processing through intrinsic nonequilibrium dynamics. The design of intelligent materials often draws parallels with the complex adaptive behaviors of
Vladimir A. Baulin, Rudolf M. Füchslin, Achille Giacometti, Helmut Hauser, Marco Werner   +4 more
wiley   +1 more source

Investigation of the spectrum of the Sturm–Liouville problem with a nonlocal integral condition

Lietuvos Matematikos Rinkinys, 2013
This paper presents some new results on the spectrum for the second order dif-ferential problem with one integral type nonlocal boundary condition (NBC).
Agnė Skučaitė, Artūras Štikonas
doaj   +1 more source

Nonlocal Mixed Systems With Neumann Boundary Conditions

Mathematical Methods in the Applied Sciences
ABSTRACTWe prove well posedness and stability in for a class of mixed hyperbolic–parabolic nonlinear and nonlocal equations in a bounded domain with no flow along the boundary. While the treatment of boundary conditions for the hyperbolic equation is standard, the extension to of classical results about parabolic equations with Neumann conditions ...
Rinaldo M. Colombo, Elena Rossi, Abraham Sylla   +2 more
openaire   +3 more sources

Identification hyperbolic problems with nonlocal conditions

AIP Conference Proceedings, 2018
In the present study, a identification problem with nonlocal conditions for a one-dimensional hyperbolic equation is investigated. Stability estimates for the solution of the identification problem are established. Furthermore, a first order of accuracy difference scheme for the numerical solution of the identification hyperbolic equations problems ...
Ashyralyev A., Emharab F.
openaire   +3 more sources

Deformable Attention Multiscale Feature Fusion Network‐Dehaze: An Adaptive Image Dehazing Method Based on Deformable Attention Multiscale Fusion Network

Advanced Intelligent Systems, EarlyView.
This paper presents the deformable attention multiscale feature fusion network‐dehaze adaptive image dehazing network, which integrates three core modules (revised residual shrinkage unit, multiscale attention, cross‐scale feature fusion). It incorporates deformable convolution and multiscale attention mechanisms to address the detail loss issue of ...
Ruipeng Wang, Yajun Chen, Hao Liu, Mingrui Li, Zhiqi Li   +4 more
wiley   +1 more source