Results 131 to 140 of about 90,914 (198)

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

Mathematical Methods in the Applied Sciences, EarlyView.
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

Hypercomplex neural networks: Exploring quaternion, octonion, and beyond in deep learning. [PDF]

MethodsX
Devadas RM, Hiremani V, Preethi, T S, R S, Gujjar P.   +5 more
europepmc   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Twist Fields in Many-Body Physics. [PDF]

Entropy (Basel)
Doyon B.
europepmc   +1 more source

Repeatability of Rapid Human Cardiac Phosphorus MRSI (31P‐MRSI) Using Concentric Ring Trajectory Readouts at 7 T

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose PCr/ATP ratio is determined at 7 T typically using Fourier‐transform based magnetic resonance spectroscopic imaging sequences (FT‐MRSI). These sequences require acquisition times longer than desirable for inclusion in cardiac clinical trials. Concentric ring trajectory (CRT‐MRSI) has been described as an accelerated alternative k‐space
Ferenc E. Mózes, William T. Clarke, Andrew Tyler, Jabrane Karkouri, Fabian Niess, Jack J. J. J. Miller, Christopher T. Rodgers, Wolfgang Bogner, Ladislav Valkovič   +8 more
wiley   +1 more source

Matrix Quantum Mechanics and Entanglement Entropy: A Review. [PDF]

Entropy (Basel)
Fliss JR, Frenkel A.
europepmc   +1 more source

Ellipsoid‐Based Interval‐Type Uncertainty Model Updating Based on Riemannian Manifold and Gaussian Process Model

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Modern engineering systems require advanced uncertainty‐aware model updating methods that address parameter correlations beyond conventional interval analysis. This paper proposes a novel framework integrating Riemannian manifold theory with Gaussian Process Regression (GPR) for systems governed by Symmetric Positive‐Definite (SPD) matrix ...
Yanhe Tao, Qintao Guo, Jin Zhou, Cheng Yi   +3 more
wiley   +1 more source

Learning behavior aware features across spaces for improved 3D human motion prediction. [PDF]

Sci Rep
Ji R, Lu C, Huang Z, Zhong J.
europepmc   +1 more source

Bending Analysis of Thickness‐ and Shear‐Deformable Materially Imperfect Composite Shells With von Kármán‐Type Geometric Nonlinearities

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Geometrically nonlinear static analysis of materially imperfect composite doubly curved shells is investigated via the generalised differential quadrature method. The effects of both shear and thickness deformation are considered through a thickness‐ and shear‐deformable third‐order theory formulated in curvilinear coordinates, while the ...
Behrouz Karami, Mergen H. Ghayesh, Shahid Hussain, Marco Amabili   +3 more
wiley   +1 more source

Linear convergence of the NQZ algorithm for finding the H-spectral radius of nonnegative tensors. [PDF]

PLoS One
Lv H, Chen M.
europepmc   +1 more source