Results 91 to 100 of about 37,919 (260)

Periodic solutions of polynomial non-autonomous differential equations

open access: yesElectronic Journal of Differential Equations, 2005
We present some results on the number of periodic solutions for scalar non-autonomous polynomial equations of degree five. We also consider a class of polynomial equations of any degree. Our results give upper bounds for the number of limit cycles of two-
Mohamad A. M. Alwash
doaj  

Simultaneous Measurement of Thermal Expansion and Thermo‐Optic Effect in Solids Using Terahertz Spectroscopy

open access: yesAdvanced Optical Materials, EarlyView.
Thermal expansion and the thermo‐optic effect in solids are closely coupled, reflecting concurrent changes in mass density and polarizability. Using echo‐resolved THz spectroscopy, we simultaneously determine sub‐micrometer thermal expansion and complex refractive index changes of MgO and Al2O3 from 10–325 K. The analysis yields both the coefficient of
Nicolas S. Beermann   +5 more
wiley   +1 more source

Infinitely Many Quasi-Coincidence Point Solutions of Multivariate Polynomial Problems

open access: yesAbstract and Applied Analysis, 2013
Let F:ℝn×ℝ→ℝ be a real-valued polynomial function of the form F(x¯,y)=as(x¯)ys+as-1(x¯)ys-1+⋯+a0(x¯) where the degree s of y in F(x¯,y) is greater than 1. For arbitrary polynomial function f(x¯)∈ℝ[x¯], x¯∈ℝn, we will find a polynomial solution y(x¯)∈ℝ[x¯]
Yi-Chou Chen
doaj   +1 more source

Polynomial solutions of binomial congruences [PDF]

open access: yesJournal of the Australian Mathematical Society, 1960
Polynomial solutions of a few binomial congruences have been known for a long time. For instance Legendre showed that the congruence has a solution this being the expansion of as far as the term of degree m — 3. [1] It seems that only restricted types, e.g. (1), have been investigated.
openaire   +1 more source

Observation of the Differential Goos‐Hänchen Shifts in Wavelength Domain Using a Helical Fiber Grating

open access: yesAdvanced Optical Materials, EarlyView.
Goos‐Hänchen shift (GHS) is a phenomenon in which an optical beam experiences a longitudinal displacement upon total internal reflection. In this work, we experimentally demonstrate an enhanced GHS in the wavelength domain using a helical fiber grating (HFG).
Zhang Meng   +7 more
wiley   +1 more source

Hard‐Magnetic Soft Millirobots in Underactuated Systems

open access: yesAdvanced Robotics Research, EarlyView.
This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang   +4 more
wiley   +1 more source

UTact: Underwater Vision‐Based Tactile Sensor with Geometry Reconstruction and Contact Force Estimation

open access: yesAdvanced Robotics Research, EarlyView.
Embedded flexible sensing technologies advance underwater soft robotics, yet most systems still suffer from hysteresis and limited perceptiveness. Instead, vision‐based tactile sensors provide reliable and rapid feedback essential for complex underwater tasks.
Qiyi Zhang   +5 more
wiley   +1 more source

Cosmological solutions in polynomial affine gravity with torsion

open access: yesEuropean Physical Journal C: Particles and Fields
The Polynomial Affine Gravity is an alternative gravitational model, where the interactions are mediated solely by the affine connection, instead of the metric tensor.
Oscar Castillo-Felisola   +4 more
doaj   +1 more source

Polynomial Solutions of Electric Field Equations in Anisotropic Media

open access: yesMANAS: Journal of Engineering
The time-dependent system of partial differential equations of the second orderdescribing the electric wave propagation in electrically and magnetically anisotropichomogeneous media is considered in the paper.
Meltem Altunkaynak
doaj   +1 more source

Gait Analysis of Pak Biawak: A Necrobot Lizard Built using the Skeleton of an Asian Water Monitor (Varanus Salvator)

open access: yesAdvanced Robotics Research, EarlyView.
Pak Biawak, a necrobot, embodies an unusual fusion of biology and robotics. Designed to repurpose natural structures after death, it challenges conventional boundaries between nature and engineering. Its movements are precise yet unsettling, raising questions about sustainability, ethics, and the untapped potential of biointegrated machines.
Leo Foulds   +2 more
wiley   +1 more source

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