Results 91 to 100 of about 959,038 (319)
ON HEROD'S QUADRATIC DIFFERENTIAL SYSTEM WITH INFINITELY MANY UNKNOWNS
Demonstratio Mathematica, 2004 The following quadratic differential system with infinitely many unknowns is studied \[ \dot x_n+x_n=\frac1{n+1}\sum^n_{k=0}x_kx_{n-k},\quad n=0,1,2,\dots;\;x_0(0)=1;\;x_1(0)=0;\;x_k(0)=c_k,\;k\geq 2.\tag{1} \] The author studies the question: If the sequence \(\{c_k\}\) is in \(\ell^2\), is the same true for the sequence \(\{x_k(0)\}\) for each \(t ...
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Advanced Functional Materials, EarlyView.Reducing power consumption in spintronic memory remains a major challenge due to the need for high current densities. A bilayer of gadolinium and holmium iron garnets enables purely temperature‐induced, nonvolatile magnetic switching with bistable states within a ±25 K range. This approach achieves up to 66‐fold lower energy use than current spin–orbit
Junseok Kim +3 more
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Computation of Affine Covariants of Quadratic Bivariate Differential Systems
Journal of Complexity, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2D Magnetic and Topological Quantum Materials and Devices for Ultralow Power Spintronics
Advanced Functional Materials, EarlyView.2D magnets and topological quantum materials enable ultralow‐power spintronics by combining robust magnetic order with symmetry‐protected, Berry‐curvature‐driven transport. Fundamentals of 2D anisotropy and spin‐orbit‐coupling induced band inversion are linked to scalable growth and vdW stacking.
Brahmdutta Dixit +5 more
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Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System
Journal of Applied Mathematics, 2013 We propose an approach for constructing Lyapunov function in quadratic form of a differential system. First, positive polynomial system is obtained via the local property of the Lyapunov function as well as its derivative.
Zhenyi Ji +3 more
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Time-Inconsistent Stochastic Linear-quadratic Differential Game
, 2016 We consider a general time-inconsistent stochastic linear-quadratic differential game. The time-inconsistency arises from the presence of quadratic terms of the expected state as well as state-dependent term in the objective functionals.
Zhou, Qinglong, Zong, Gaofeng
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Limit cycles for discontinuous quadratic differential switching systems [PDF]
Advances in Difference Equations, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nanothermometry in Living Cells: Physical Limits, Conceptual and Material Challenges
Advanced Functional Materials, EarlyView.Heat and temperature are fundamental to life. When nanothermometers began probing regions as small as a living cell, they triggered controversial claims of large intracellular temperature gradients. We review physical constraints energy‐conservation, entropy production, thermodynamic fluctuations, and molecular dynamics.
Taras Plakhotnik
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Necessary and Sufficient Conditions for Feedback Nash Equilibria for the Affine Quadratic Differential [PDF]
In this note we consider the non-cooperative linear feedback Nash quadratic differential game with an infinite planning horizon. The performance function is assumed to be indefinite and the underlying system affine.
Engwerda, J.C., Salmah, Y.
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Advanced Functional Materials, EarlyView.MagPiezo enables wireless activation of endogenous Piezo1 channels without genetic modification using 19 nm magnetic nanoparticles and low‐intensity magnetic fields. It generates torque forces at the piconewton scale to trigger mechanotransduction in endothelial cells, standing as a novel platform to interrogate and manipulate Piezo1 activity in vitro.
Susel Del Sol‐Fernández +7 more
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