Results 1 to 10 of about 810,503 (294)
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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Quadratic Perturbations of a Quadratic Reversible Lotka–Volterra System [PDF]
Qualitative Theory of Dynamical Systems, 2010 We prove that perturbing the two periodic annuli of the quadratic polynomial reversible Lotka-Volterra differential system ̇x = -y + x2 - y2, ẏ = x(1 + 2y), inside the class of all quadratic polynomial differential systems we can obtain the following configurations of limit cycles (0,0), (1,0), (2,0), (1,1) and (1,2).
Li, Chengzhi, Llibre i Saló, 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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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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Mathematics, 2023 The main purpose of this paper is to study the dynamics and embedded solitons of stochastic quadratic and cubic nonlinear susceptibilities in the Itô sense, which can further help researchers understand the propagation of soliton nonlinear systems ...
Zhao Li, Chen Peng
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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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