Results 171 to 180 of about 4,137 (225)

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

Exact solitary wave solutions and linear stability of the β-time-fractional Gardner equation in shallow water dynamics. [PDF]

Sci Prog
Elsaid Ramadan M, Ahmed HM, Radwan T, Alkhatib S, Soliman M.   +4 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

Analytical wave solutions in thermoelastic media with temperature-dependent properties via IMETF method. [PDF]

Sci Rep
Ismail MF, Ahmed HM, Safwat S, Ramadan ME, Abdalla NSE, Soliman M.   +5 more
europepmc   +1 more source

Toward Super‐Resolution Reconstruction of Diffusion–Relaxation MRI Using Slice Excitation With Random Overlap (SERO)

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose Diffusion MRI probes tissue microstructure, but low SNR and limited resolution hinder detection of features and parameter estimates. We introduce slice excitation with random overlap (SERO), which enables variable repetition times (TRs) and diffusion weighting within a single shot.
Felix Mortensen, Jakub Jurek, Jens Sjölund, Geraline Vis, Ronnie Wirestam, Malwina Molendowska, Andrzej Materka, Filip Szczepankiewicz   +7 more
wiley   +1 more source

Soliton dynamics and stability analysis of a double-chain DNA model with various chaos detection tools. [PDF]

Sci Rep
Ullah MS, Akter R.
europepmc   +1 more source

Predefined‐Time Dynamic Surface Control of Tank Horizontal Stabilization System With Disturbance

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Modern new tanks are difficult to achieve high precision control of the horizontal stabilization system due to electromechanical coupling and road surface disturbance during high‐speed combat. A predefined‐time dynamic surface controller (DSCPT) is proposed for the fast stabilization and strong disturbance problems of the tank horizontal ...
Zhicheng Fan, Shusen Yuan, Wenxiang Deng, Haoqi Wen, Haochuan Sun, Jianyong Yao   +5 more
wiley   +1 more source

Exploring the chaotic, sensitivity and wave patterns to the dual-mode resonant Schrödinger equation: application in optical engineering. [PDF]

Sci Rep
Muhammad J, Younas U, Yar M.
europepmc   +1 more source

Association between serum bicarbonate and low mid‐upper arm circumference in patients with non‐dialysis‐dependent chronic kidney disease: A cross‐sectional study

Nutrition in Clinical Practice, EarlyView.
Abstract Background Although previous experimental studies showed that metabolic acidosis promoted muscle catabolism and impaired protein synthesis, few epidemiological studies reported an independent association between serum bicarbonate levels and muscle atrophy in patients with chronic kidney disease (CKD).
Nobuhisa Morimoto, Shintaro Mandai, Tamami Fujiki, Fumiaki Ando, Takayasu Mori, Koichiro Susa, Shotaro Naito, Eisei Sohara, Tatsuhiko Anzai, Kunihiko Takahashi, Wataru Akita, Akihito Ohta, Shinichi Uchida, Soichiro Iimori   +13 more
wiley   +1 more source

Optical soliton wave profiles for the (2 + 1)-dimensional complex modified Korteweg-de Vries system with the impact of fractional derivative via analytical approach. [PDF]

Sci Rep
Khan MI, Khan MA, Iqbal M, Alghabban WG, Aljohani A, Al-Dayel I, Ceesay B.   +6 more
europepmc   +1 more source