Results 1 to 10 of about 114,098 (264)
On Algebraic Approach in Quadratic Systems [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 When considering friction or resistance, many physical processes are mathematically simulated by quadratic systems of ODEs or discrete quadratic dynamical systems.
Matej Mencinger
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Complex dynamics of a sub-quadratic Lorenz-like system
Open Physics, 2023 Motivated by the generic dynamical property of most quadratic Lorenz-type systems that the unstable manifolds of the origin tending to the stable manifold of nontrivial symmetrical equilibria forms a pair of heteroclinic orbits, this technical note ...
Li Zhenpeng +5 more
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A quadratic bilinear equation arising from the quadratic dynamical system [PDF]
Proceedings of the Estonian Academy of Sciences, 2021 A quadratic dynamical system with practical applications is taken into consideration. This system is transformed into a new bilinear system with Hadamard products by means of the implicit matrix structure. The corresponding quadratic bilinear equation is
Bo Yu, Ning Dong, Qiong Tang
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System Vibration Control Using Linear Quadratic Regulator
International Journal of Applied Mechanics and Engineering, 2022 Balancing a bipedal robot movement against external perturbations is considered a challenging and complex topic. This paper discusses how the vibration caused by external disturbance has been tackled by a Linear Quadratic Regulator, which aims to provide
M. Abdelrahman +3 more
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Systems of quadratic inequalities [PDF]
Proceedings of the London Mathematical Society, 2012 We present a spectral sequence which efficiently computes Betti numbers of a closed semi-algebraic subset of RP^n defined by a system of quadratic inequalities and the image of the homology homomorphism induced by the inclusion of this subset in RP^n.
Agrachev, Andrey, Lerario, Antonio
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On Some Symmetries of Quadratic Systems [PDF]
Symmetry, 2020 We provide a general method for identifying real quadratic polynomial dynamical systems that can be transformed to symmetric ones by a bijective polynomial map of degree one, the so-called affine map. We mainly focus on symmetry groups generated by rotations, in other words, we treat equivariant and reversible equivariant systems.
Maoan Han +2 more
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Quadratic Constraints for Local Stability Analysis of Quadratic Systems
2022 IEEE 61st Conference on Decision and Control (CDC), 2022 This paper proposes new quadratic constraints (QCs) to bound a quadratic polynomial. Such QCs can be used in dissipation ineqaulities to analyze the stability and performance of nonlinear systems with quadratic vector fields. The proposed QCs utilize the sign-indefiniteness of certain classes of quadratic polynomials.
Shih-Chi Liao +2 more
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Quadratic Perturbations of a Quadratic Reversible Lotka–Volterra System [PDF]
Qualitative Theory of Dynamical Systems, 2010 "Vegeu el resum a l'inici del document del fitxer adjunt".
Li, Chengzhi, Llibre, Jaume
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Crystals, 2021 An electro-optic modulation system was adopted for measuring the quadratic electro-optic coefficient of KTN crystal. Theoretical analysis and experimental results verified the feasibility of this method.
Lie-Kun Yang +9 more
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An Investigation of Various Controller Designs for Multi-Link Robotic System (Robogymnast)
Knowledge, 2022 An approach to controlling the three-link Robogymnast robotic gymnast and assessing stability is proposed and examined. In the study, a conventionally configured linear quadratic regulator is applied and compared with a fuzzy logic linear quadratic ...
Bdereddin Abdul samad +3 more
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