Results 201 to 210 of about 122,957 (282)

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

A novel Fibonacci sequence-based motion profile. [PDF]

Sci Prog
Yao WS, Tseng YC, Hu JH.
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

Some novel optical pulses in hydrodynamical nonlinear complex equation using M-truncated fractional derivative. [PDF]

Sci Rep
Ilhan E, Rehman SU, Bilal M, Baskonus HM, Alawaideh YM.   +4 more
europepmc   +1 more source

Consistent Quadratic Phase Formation in 3D Fast Spin Echo Using Frequency‐Modulated RF Pulses

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose Frequency‐modulated (FM) RF pulses achieve broadband excitation with low RF peak power, which is required in MRI with inhomogeneous magnetic fields. However, the quadratic phase generated with FM pulses makes it difficult to use them in fast spin echo (FSE), because even and odd refocused echoes have different spatial phase profiles ...
Naoharu Kobayashi, Michael Garwood
wiley   +1 more source

Optical wave propagation in magneto-optic waveguides with generalized anti-cubic model. [PDF]

Sci Prog
Baber MZ, Yasin MW, Ahmed N, Arif K, Ceesay B.   +4 more
europepmc   +1 more source

A Comprehensive Multistage Average Controller for Trajectory Tracking in Solar‐Powered Mobile Robots: Analysis of Actuator‐Driver and Power Stage Integration

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This work addresses the challenge of bidirectional trajectory tracking in solar‐powered wheeled mobile robots (WMRs), considering the mechanical structure, actuator‐driver, and power stage subsystems. Notably, this is the first study to explicitly model and control the actuator‐driver subsystem within this context. The proposed solution relies
Benjamin Natanael Santiago‐Nogales, Julio Cesar Ordaz‐Dehesa, Ramón Silva‐Ortigoza, Erik Reyes‐Reyes, J. Martín Alba‐Martínez, Juan Eduardo Velázquez‐Velázquez, José Rafael García‐Sánchez, Magdalena Marciano‐Melchor, Hind Taud   +8 more
wiley   +1 more source

Analytical wave families and stability dynamics in a modified complex Ginzburg-Landau model via the modified extended direct algebraic method. [PDF]

Sci Rep
Rateb AE, Ahmed HM, Darwish A, Ammar M, Rabie WB.   +4 more
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

Fractional order effects on solitary waves and chaotic regimes in the mKdV Burgers equation. [PDF]

Sci Rep
Islam MA, Rimu NN, Dey P.
europepmc   +1 more source