Results 1 to 10 of about 119,238 (166)
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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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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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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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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Systems of Hermitian Quadratic Forms [PDF]
Canadian Mathematical Bulletin, 2004 AbstractIn this paper, we give some conditions to judge when a system of Hermitian quadratic forms has a real linear combination which is positive definite or positive semi-definite. We also study some related geometric and topological properties of the moduli space.
Ma, Li, Chen, Dezhong
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Zero-Hopf Bifurcations of 3D Quadratic Jerk System
Mathematics, 2020 This paper is devoted to local bifurcations of three-dimensional (3D) quadratic jerk system. First, we start by analysing the saddle-node bifurcation. Then we introduce the concept of canonical system.
Bo Sang, Bo Huang
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