Results 71 to 80 of about 1,606 (214)

From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9696-9708, June 2026.
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama, Marina Murillo‐Arcila, Julio Puerta‐Fernández   +2 more
wiley   +1 more source

UNCERTAINTY QUANTIFICATION IN STOCHASTIC SYSTEMS USING POLYNOMIAL CHAOS EXPANSION

, 2010
In recent years, extensive research has been reported about a method which is called the generalized polynomial chaos expansion. In contrast to the sampling methods, e.g., Monte Carlo simulations, polynomial chaos expansion is a nonsampling method which
K. SEPAHVAND, H.-J. HARDTKE, S. MARBURG
core   +1 more source

Constructing adaptive generalized polynomial chaos method to measure the uncertainty in continuous models: A computational approach [PDF]

, 2015
Due to errors in measurements and inherent variability in the quantities of interest, models based on random differential equations give more realistic results than their deterministic counterpart.
Licea Salazar, Juan Antonio, Villanueva Micó, Rafael Jacinto, Santonja, F., Romero, José-Vicente, Roselló, María-Dolores, Chen Charpentier, Benito Miguel, Cortés, J.-C.   +6 more
core   +1 more source

The feasibility principle in community ecology

Oikos, Volume 2026, Issue 6, June 2026.
The structure and function of ecological communities emerge from interactions among populations within specific environmental contexts. Yet we still lack general principles that explain how communities assemble, which patterns we should expect, and when transitions occur across diverse settings.
Serguei Saavedra
wiley   +1 more source

Physics‐Informed Bayesian Optimisation of Utility‐Scale Wind Farms in Synthetically Generated Complex Terrain Using LES

Wind Energy, Volume 29, Issue 6, June 2026.
ABSTRACT Optimising turbine layouts to maximise power output is crucial for wind farm development, particularly in complex terrain where analytical wake models fail to capture key flow physics. We present the first application of Bayesian optimisation (BO) combined with large eddy simulations (LES) for utility‐scale wind farm layout optimisation in ...
Christian Jané‐Ippel, Rafael Palacios, Sylvain Laizet   +2 more
wiley   +1 more source

Generalized polynomial chaos paradigms to model uncertainty in wireless links [PDF]

2017 11th European Conference on Antennas and Propagation (EUCAP), 2017
A stochastic framework is proposed to evaluate the effect of random effects on the overall performance of wireless links. A generalized polynomial chaos expansion is leveraged to relate the uncertainties in antenna geometry, orientation and position to the figures of merit characterizing the link.
Rossi, Marco, Vande Ginste, Dries, Rogier, Hendrik   +2 more
openaire   +2 more sources

Uncertainty Quantification in Mooring Cable Dynamics Using Polynomial Chaos Expansions

Journal of Marine Science and Engineering, 2020
Mooring systems exhibit high failure rates. This is especially problematic for offshore renewable energy systems, like wave and floating wind, where the mooring system can be an active component and the redundancy in the design must be kept low.
Guilherme Moura Paredes, Claes Eskilsson, Allan P. Engsig-Karup   +2 more
doaj   +1 more source

Hybrid ideologies and glorification of violence during adolescence: Links to support for violent and nonviolent radicalization

Journal of Research on Adolescence, Volume 36, Issue 2, June 2026.
Abstract Adolescence is a seminal period for the development of ideologies and a time of heightened risk for both violent and nonviolent radicalization. Although mounting evidence points to the growing prevalence of hybrid ideologies and violence glorification among individuals legitimizing violence, empirical studies that document these emerging ...
Diana Miconi, Michela Zambelli, Aoudou Njingouo Mounchingam, Cécile Rousseau   +3 more
wiley   +1 more source

Computational uncertainty quantification for random non-autonomous second order linear differential equations via adapted gPC: a comparative case study with random Fröbenius method and Monte Carlo simulation

Open Mathematics, 2018
This paper presents a methodology to quantify computationally the uncertainty in a class of differential equations often met in Mathematical Physics, namely random non-autonomous second-order linear differential equations, via adaptive generalized ...
Calatayud Julia, Cortés Juan Carlos, Jornet Marc   +2 more
doaj   +1 more source

Stochastic Optimization of Economic Dispatch With Wind and Photovoltaic Energy Using the Nested Sparse Grid-Based Stochastic Collocation Method

IEEE Access, 2019
Due to the increasing uncertainty brought about by renewable energy, conventional deterministic dispatch approaches have not been very applicative. This paper investigates a nested sparse grid-based stochastic collocation method (NS-SCM) as a possible ...
Zhilin Lu, Mingbo Liu, Wentian Lu, Zhuoming Deng   +3 more
doaj   +1 more source