Results 31 to 40 of about 309,932 (262)
SU(2) hyper-clocks: Quantum engineering of spinor interferences for time and frequency metrology
Physical Review Research, 2022 In 1949, Ramsey's method [Phys. Rev. 76, 996 (1949)PHRVAO0031-899X10.1103/PhysRev.76.996] of separated oscillating fields was elaborated boosting over many decades metrological performances of atomic clocks and becoming the standard technique for very ...
T. Zanon-Willette +4 more
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Journal of Differential Equations, 2019 In this paper, we present a general mathematical framework for integrating smooth vector fields in the vicinity of a fixed point with a spiral saddle.
Z. Galias, W. Tucker
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The Bifurcation Diagram of Cubic Polynomial Vector Fields on CP1 [PDF]
Canadian mathematical bulletin, 2015 In this paper we give the bifurcation diagram of the family of cubic vector fields $\dot{z}=$ ${{z}^{3}}+{{\epsilon }_{1}}z+{{\epsilon }_{0}}$ for $z\in \mathbb{C}{{\mathbb{P}}^{1}}$ , depending on the values of ${{\epsilon }_{1}},{{\epsilon }_{0}}\in ...
C. Rousseau
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Universal centers in the cubic trigonometric Abel equation
Electronic Journal of Qualitative Theory of Differential Equations, 2014 We study the center problem for the trigonometric Abel equation $d \rho/ d \theta= a_1 (\theta) \rho^2 + a_2(\theta) \rho^3,$ where $a_1(\theta)$ and $a_2(\theta)$ are cubic trigonometric polynomials in $\theta$.
Jaume Giné +2 more
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Algebraic and topological classification of the homogeneous cubic vector fields in the plane
, 1990 Tsutomu Date and Masao Iri in [DI] gave an algebraic classification of systems I = P(x, y), I; = Q(.x, y), where P and Q are homogeneous polynomials of degree 2.
A. Cima, J. Llibre
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Discussion on Minimal Curvature Variation in Cubic Hermite Curve Construction
Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2012 In the fields of computer aided geometric design, computer graphics and so on, curvature variation minimization has been widely used for constructing curve and surface.
Peipei LI +3 more
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Rice-Field Mapping with Sentinel-1A SAR Time-Series Data
Remote Sensing, 2020 This study proposed a feature-based decision method for the mapping of rice cultivation by using the time-series C-band synthetic aperture radar (SAR) data provided by Sentinel-1A. In this study, a model related to crop growth was first established.
Lena Chang +3 more
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Weakly Structural Stability of Cubic Homogeneous Parameterized Vector Fields
Journal of Mathematical Analysis and Applications, 2000 The authors study the weak structural stability of the vector field \(X\) with the property \[ j_3(X(x, y))_{(0,0)}= X_3(x,y),\quad j_2(X(x, y))_{(0,0)}= 0, \] where \(J_k(X(x, y))_{(0,0)}\) denotes the \(k\)-jet of \(X\) near the origin, and where \(X_3\) is of the form \[ X_3(x,y)= (a_1 x^3+ a_2 x^2y+ a_3 xy^2, b_2x^2y+ b_3xy^2+ b_4 y^3).
Yasir, Kamal H., Tang, Yun
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Frontiers in Bioengineering and Biotechnology, 2020 Observing, classifying and assessing human movements is important in many applied fields, including human-computer interface, clinical assessment, activity monitoring and sports performance.
Ezio Preatoni +2 more
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Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields
Nonlinear Analysis: Real World Applications, 2022 We completely characterize the global phase portraits in the Poincaré disk for all planar Hamiltonian vector fields with linear plus cubic homogeneous terms having a nilpotent saddle at the origin.
Corbera Subirana, Montserrat +1 more
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