Results 21 to 30 of about 4,370 (140)
Bonnesen-style symmetric mixed inequalities
Journal of Inequalities and Applications, 2016 In this paper, we investigate the symmetric mixed isoperimetric deficit Δ 2 ( K 0 , K 1 ) $\Delta_{2}(K_{0},K_{1})$ of domains K 0 $K_{0}$ and K 1 $K_{1}$ in the Euclidean plane R 2 $\mathbb{R}^{2}$ .
Pengfu Wang, Miao Luo, Jiazu Zhou
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An elementary proof of Euler formula using Cauchy's method
, 2020 The use of Cauchy's method to prove Euler's well-known formula is an object of many controversies. The purpose of this paper is to prove that Cauchy's method applies for convex polyhedra and not only for them, but also for surfaces such as the torus, the
Brasselet, Jean-Paul +1 more
core +3 more sources
Global Analysis of a Liénard System with Quadratic Damping
Discrete Dynamics in Nature and Society, 2018 In this paper, the global analysis of a Liénard equation with quadratic damping is studied. There are 22 different global phase portraits in the Poincaré disc.
Feng Guo
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Applied Sciences, 2020 This study numerically analyzes and investigates the effects of the bearing design parameters of a tilting pad journal bearing (TPJB) on the pad-pivot friction-induced nonlinear rotordynamic phenomena and bifurcations.
Sitae Kim, Sangwon Byun, Junho Suh
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On boundary correlators in Liouville theory on AdS$_{2}$
, 2019 We consider the Liouville theory in fixed Euclidean AdS$_2$ background. Expanded near the minimum of the potential the elementary field has mass squared 2 and (assuming the standard Dirichlet b.c.) corresponds to a dimension 2 operator at the boundary ...
Beccaria, Matteo, Tseytlin, Arkady A.
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Rigid Polynomial Differential Systems with Homogeneous Nonlinearities
MathematicsPlanar differential systems whose angular velocity is constant are called rigid or uniform differential systems. The first rigid system goes back to the pendulum clock of Christiaan Huygens in 1656; since then, the interest for the rigid systems has been
Jaume Llibre
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Quadratic systems with two invariant real straight lines and an invariant parabola
Electronic Journal of Qualitative Theory of Differential EquationsAfter the linear differential systems in the plane the easiest ones are the quadratic polynomial differential systems. Due to their nonlinearity and also to their many applications these systems have been studied by many authors. Let QS denote the set of
Jaume Llibre, Huaxin Ou
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Dynamic testing and analysis of turbine generator shafting
The Journal of Engineering, 2019 With the world's energy shortage, the scholars all over the world have done a lot of research work on the efficient use of energy, energy-saving emission reduction, and the development of new energy.
Changliang Tang, Liyong Wang, Tao Chen
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Photon‐Sphere Modes in Curved Optical Microcavities: A Black‐Hole Analogue Laser
Advanced Science, EarlyView.An optical analogue of a Schwarzschild black hole is realized using curved microcavities that preserve light‐like geodesics. A new family of laser modes confined around the photon sphere is identified alongside conventional whispering‐gallery modes. Analytical theory, numerical simulations, and experiments reveal curvature‐induced confinement, enabling
Chenni Xu +9 more
wiley +1 more source
Respiratory‐Limbic Coupling via a Thalamic Circuit Alleviates Anxiety
Advanced Science, EarlyView.This study delineates a conserved preBötCGlu→PVT→CeA circuit that gates anxiety and respiration. Activation of this circuit is anxiolytic and respiratory‐stabilizing, while its inhibition has the opposite effect. Mechanistically, PVT exerts its anxiolytic action via a disinhibitory microcircuit: its inputs preferentially target CeL GABAergic neurons ...
Shangyu Bi +15 more
wiley +1 more source