Results 71 to 80 of about 238,178 (293)
Quasi-T\"oplitz functions in KAM theorem
, 2013 We define and describe the class of Quasi-T\"oplitz functions. We then prove an abstract KAM theorem where the perturbation is in this class. We apply this theorem to a Non-Linear-Scr\"odinger equation on the torus $T^d$, thus proving existence and ...
Berti M. +4 more
core +1 more source
Two loops calculation in chiral perturbation theory and the unitarization program of current algebra [PDF]
, 1997 In this paper we compare two loop Chiral Perturbation Theory (ChPT) calculation of pion-pion scattering with the unitarity second order correction to the current algebra soft-pion theorem. It is shown that both methods lead to the same analytic structure
A. Dobado +16 more
core +2 more sources
Heuristically Adaptive Diffusion‐Model Evolutionary Strategy
Advanced Science, EarlyView.Building on the mathematical equivalence between diffusion models and evolutionary algorithms, researchers demonstrate unprecedented control over evolutionary optimization through conditional diffusion. By training diffusion models to associate parameters with specific traits, they can guide evolution toward solutions exhibiting desired behaviors ...
Benedikt Hartl +3 more
wiley +1 more source
On the excursion area of perturbed Gaussian fields
, 2019 We investigate Lipschitz-Killing curvatures for excursion sets of random fields on $\mathbb R^2$ under small spatial-invariant random perturbations.
Di Bernardino, Elena +2 more
core +3 more sources
Consensus Formation and Change are Enhanced by Neutrality
Advanced Science, EarlyView.Neutral agents are shown to enhance both the formation and overturning of consensus in collective decision‐making. A general mathematical model and experiments with locusts and humans reveal that neutrality enables robust consensus via simple interactions and accelerates consensus change by reducing effective population size.
Andrei Sontag +3 more
wiley +1 more source
Seasonal Effects on a Beddington-DeAngelis Type Predator-Prey System with Impulsive Perturbations
Abstract and Applied Analysis, 2009 We study a Beddington-DeAngelis type predator-prey system with impulsive perturbation and seasonal effects. First, we numerically observe the influence of seasonal effects on the system without impulsive perturbations.
Hunki Baek, Younghae Do
doaj +1 more source
Ejecta‐Modulated Bubble Dynamics Play a Dominant Role in Stone Retropulsion
Advanced Science, EarlyView.Stone motion during laser ablation is shown to result primarily from asymmetric cavitation bubble collapse, not from ejecta recoil. This challenges long‐standing assumptions and highlights the dominant role of bubble dynamics in laser–material interactions.
Obed S. Isaac +4 more
wiley +1 more source
Perturbed Keplerian Hamiltonian Systems
International Journal of Differential Equations, 2023 This paper deals with a class of perturbation planar Keplerian Hamiltonian systems, by exploiting the nondegeneracy properties of the circular solutions of the planar Keplerian Hamiltonian systems, and by applying the implicit function theorem, we show ...
Riadh Chteoui
doaj +1 more source
Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain
Advanced Science, EarlyView.A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio +3 more
wiley +1 more source
Random Homogenization in a Domain with Light Concentrated Masses
Mathematics, 2020 In the paper, we consider an elliptic problem in a domain with singular stochastic perturbation of the density located near the boundary, depending on a small parameter.
Gregory A. Chechkin +1 more
doaj +1 more source