Results 1 to 10 of about 74,219 (267)
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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Global asymptotic stability in quadratic systems
Electronic Journal of Differential EquationsA classical problem in the qualitative theory of differential systems that is relevant for its applications, is to characterize the differential systems which are globally asymptotically stable, that is differential systems having a unique equilibrium point for which all their orbits, with the exception of the equilibrium point, tend in forward time ...
Jaume Llibre, Claudia Valls
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Fractal and Fractional, 2023 System identification is an important methodology used in control theory and constitutes the first step of control design. It is known that many real systems can be better characterized by fractional-order models.
Ali Yüce
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Phase Portraits of Families VII and VIII of the Quadratic Systems
Axioms, 2023 The quadratic polynomial differential systems in a plane are the easiest nonlinear differential systems. They have been studied intensively due to their nonlinearity and the large number of applications.
Laurent Cairó, Jaume Llibre
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Estimating the boundary of the region of attraction of Lotka–Volterra system with time delays
Systems Science & Control Engineering, 2021 This paper considers the local stability problem and estimates the region of attraction (RA) of the positive equilibrium of Lotka-Volterra (L-V) competitive system with time-delays.
Juanjuan Yang, Rui Dong, Juntao Wang
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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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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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