Results 11 to 20 of about 679,323 (292)
A New Slack Lyapunov Functional for Dynamical System with Time Delay
Mathematics, 2022 The traditional method of constructing a Lyapunov functional for dynamical systems with time delay is usually dependent on positive definite matrices in the quadratic form.
Can Zhao +3 more
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Chaotic Dynamics by Some Quadratic Jerk Systems
Axioms, 2021 This paper is about the dynamical evolution of a family of chaotic jerk systems, which have different attractors for varying values of parameter a. By using Hopf bifurcation analysis, bifurcation diagrams, Lyapunov exponents, and cross sections, both ...
Mei Liu, Bo Sang, Ning Wang, Irfan Ahmad
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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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Structure Relations and Darboux Contractions for 2D 2nd Order Superintegrable Systems [PDF]
, 2015 Two-dimensional quadratic algebras are generalizations of Lie algebras that include the symmetry algebras of 2nd order superintegrable systems in 2 dimensions as special cases.
Heinonen, Robin +3 more
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On the relationship between nonlinear and linear differential systems
上海师范大学学报. 自然科学版, 2015 In this article, we establish the relationship between the quadratic time-varying differential systems and the linear systems, giving the sufficient conditions for the quadratic systems to have the reflecting function in the form of fractional function ...
ZHOU Zhengxin +4 more
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Fundamental response in the vibration control of buildings subject to seismic excitation with ATMD
Selecciones Matemáticas, 2023 The linear quadratic regulator for vibration systems subject to seismic excitations is discussed in his own physical newtonian space as a second-order linear differential system with matrix coefficients.
Fidel Jara Huanca +2 more
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Quadratic systems with a symmetrical solution
Electronic Journal of Qualitative Theory of Differential Equations, 2018 In this paper we study the existence and uniqueness of limit cycles for so-called quadratic systems with a symmetrical solution: \begin{equation*} \begin{split} \frac{dx(t)}{dt}& = P_2(x,y) \equiv a_{00}+a_{10}x+a_{01}y+a_{20}x^2+a_{11}xy+a_{02}y^2 ...
Andre Zegeling, Robert Kooij
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Rocky Mountain Journal of Mathematics, 1986 The paper is concerned with a chordal quadratic system \(dx/dt=P(x,y)\), (1) \(dy/dt=Q(x,y)\), namely a two-dimensional autonomous system with polynomial right-hand sides without finite singularities. The authors establish necessary and sufficient conditions for a quadratic system to be chordal and determine all possible phase portraits for such ...
Gasull, Armengol +2 more
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Least Squares Method for Solving Fuzzy LR Interval Algebraic Linear Systems
Fuzzy Information and Engineering, 2022 We first investigate the solvability conditions of fuzzy LR interval algebraic linear systems with fuzzy LR interval coefficient matrix and fuzzy LR interval hand-right vector.
Mehrnoosh Salari +2 more
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Interaction quenches in the 1D Bose gas [PDF]
, 2013 The non-equilibrium dynamics of integrable systems are special: there is substantial evidence that after a quantum quench they do not thermalize but their asymptotic steady state can be described by a Generalized Gibbs Ensemble (GGE). Most of the studies
Caux, Jean-Sebastien +4 more
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