Sharp Lyapunov inequalities and the emergence of chaos in discrete fractional systems. [PDF]
Sci RepArab M +3 more
europepmc +1 more source
Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
International Journal of Robust and Nonlinear Control, Volume 36, Issue 10, Page 5619-5634, 10 July 2026.ABSTRACT In this paper, we consider the optimal control problem for an unknown continuous‐time nonlinear system, and present a framework that integrates model‐based and model‐free methods to solve it. Each approach offers distinct advantages: model‐based techniques provide offline synthesis and data efficiency, while model‐free procedures excel at ...
Surabhi Athalye +2 more
wiley +1 more source
Multiscale Analysis of Size-Dependent Vibration of Graphene Nanoelectromechanical Resonators. [PDF]
Micromachines (Basel)Li W, Tian W.
europepmc +1 more source
AIChE Journal, Volume 72, Issue 7, July 2026.Abstract This study investigates a fault‐tolerant control (FTC) approach for continuous stirred‐tank reactors (CSTR), emphasizing the importance of timely interventions to ensure operational safety under fault conditions. A systematic methodology combining residual‐based fault estimation and Dynamic Safety Margin (DSM) monitoring is developed to guide ...
Pu Du +3 more
wiley +1 more source
Suppressing Non-Stationary Motion Artefacts in Mobile EEG Using Generalized Eigenvalue Decomposition. [PDF]
Sensors (Basel)Khazaei M +5 more
europepmc +1 more source
Nonlinear Response‐History Analyses of Masonry and Mixed Structures With HybriDFEM
Earthquake Engineering &Structural Dynamics, Volume 55, Issue 8, Page 1694-1709, 10 July 2026.ABSTRACT The hybrid discrete‐finite element (HybriDFEM) method, previously developed to perform static and modal analysis in discrete and coupled discrete‐finite element models, is extended to nonlinear response‐history analyses. The equations of motion for the HybriDFEM model are solved through various numerical time‐integration schemes, both explicit
Igor Bouckaert +2 more
wiley +1 more source
Lipschitz-Nonlinear Heterogeneous Multi-Agent Adaptive Distributed Time-Varying Formation-Tracking Control with Jointly Connected Topology. [PDF]
Entropy (Basel)Zhu L +6 more
europepmc +1 more source
Quantifying Model Selection Uncertainty in Structural Analysis: Methodology and Application
Earthquake Engineering &Structural Dynamics, Volume 55, Issue 9, Page 1828-1844, 25 July 2026.ABSTRACT With increasing focus on complex engineering systems under rare events, computational models are critical for predictions due to the scarcity or absence of data. However, selecting an appropriate model can be challenging. Using a single model without available test calibration could result in significant bias in performance predictions. A case
Ya‐Heng Yang, Tracy C. Becker
wiley +1 more source
Nonlinear Shrinkage Estimation of Higher-Order Moments for Portfolio Optimization Under Uncertainty in Complex Financial Systems. [PDF]
Entropy (Basel)Lu W, Tian Z.
europepmc +1 more source