Results 211 to 220 of about 6,408 (248)
Knowledge-Guided Symbolic Regression for Interpretable Camera Calibration. [PDF]
J ImagingPimentel de Figueiredo R.
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High-Precision Optical Angle Detection Method for Two-Dimensional MEMS Mirrors. [PDF]
Micromachines (Basel)Ran L +6 more
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Linearizability of planar polynomial Hamiltonian systems
Nonlinear Analysis: Real World Applications, 2022 We thank the referees for the careful reading and valuable suggestions which helped to improve the manuscript. The first and third authors are supported by the Slovenian Research Agency (core research program P1-0306). The second author is partially supported by a MINECO/FEDER grant number PID2020-113758GB-I00 and an AGAUR, Spain (Generalitat de ...
Jaume Gine, , Valery G Romanovski
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Reduction of integrable planar polynomial differential systems
Applied Mathematics Letters, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jaume Gine
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Stabilization of planar nonlinear systems by polynomial feedback control
Systems and Control Letters, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaoming Hu
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Normal Forms of Planar Polynomial Differential Systems
Qualitative Theory of Dynamical Systems, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Turqui Abderrahmane
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Isochronous Centers in Planar Polynomial Systems
SIAM Journal on Mathematical Analysis, 1997The authors consider the following planar system \[ \dot x = P(x,y),\quad \dot y = Q(x,y),\qquad (x,y)\in \mathbb{R}^2 \tag{1} \] where \(P\) and \(Q\) are polynomials in \(x\) and \(y\). Let the system (1) have a center, and let \(T\) be a period-function, i.e.
Christopher, C. J., Devlin, J.
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Centers and Uniform Isochronous Centers of Planar Polynomial Differential Systems [PDF]
Journal of Dynamics and Differential Equations, 2018 For planar polynomial vector fields of the form (-y+X(x,y))¿¿x+(x+Y(x,y))¿¿y, where X and Y start at least with terms of second order in the variables x and y, we determine necessary and sufficient conditions under which the origin is a center or a uniform isochronous centers.
Valentin Ramirez +2 more
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A Certificate of Global Asymptotic Stability for Planar Polynomial Systems
2018 European Control Conference (ECC), 2018An algorithmic procedure is given for obtaining a certificate of global asymptotic stability for planar polynomial systems having the origin as equilibrium point. The procedure is not Lyapunov based and uses methods from Algebraic Geometry to study the sign of polynomial functions.
Menini, Laura +2 more
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Limit cycles of a class of planar polynomial differential systems
Mathematical Methods in the Applied Sciences, 2021In this paper, we study the maximum number of limit cycles that can bifurcate from a linear center, when perturbed inside a class of planar polynomial differential systems of arbitrary degree n. Using averaging theory of first and second order, we estimate the maximum number of limit cycles that this class of systems can exhibit.
Nassima Debz +2 more
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