Results 221 to 230 of about 165,252 (290)

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

open access: yesMathematical 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   +2 more
wiley   +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

open access: yesMathematical 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   +4 more
wiley   +1 more source

Ambiguities in Assigning Single‐Crystal NMR Data to Individual Atoms in the Crystal Structure: A Case Study of Hambergite, Be2$$ {}_2 $$BO3$$ {}_3 $$OH, by 9Be and 11B NMR Spectroscopy, XRD Measurements and DFT Calculations

open access: yesMagnetic Resonance in Chemistry, EarlyView.
The fundamental question of how to assign NMR resonances to specific atoms in the unit cell is addressed by using the 9Be and 11B spectra of the natural mineral hambergite as a model system. ABSTRACT The NMR interaction tensors of 9Be and 11B of hambergite, Be2$$ {}_2 $$BO3$$ {}_3 $$OH, were derived from single‐crystal NMR experiments.
Jennifer Steinadler   +6 more
wiley   +1 more source

Velocity Spectrum Imaging Using Velocity Encoding Preparation Pulses

open access: yesMagnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose The goal of this article is to introduce a technique to measure the velocity distribution of water inside each voxel of an MR image. The method is based on the use of motion sensitizing gradients with changing first moment to encode velocity. As such, it is completely non‐invasive and requires no contrast injections.
Luis Hernandez‐Garcia   +2 more
wiley   +1 more source

Home - About - Disclaimer - Privacy