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Pre-images of quadratic dynamical systems [PDF]
Involve, a Journal of Mathematics, 2010 For a quadratic endomorphism of the affine line defined over the rationals we consider the problem of bounding the number of rational points that eventually land at a given constant after iteration, called pre-images of the constant.
Hutz, Benjamin +2 more
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Nesting Quadratic Logarithmic Demand Systems [PDF]
Economics Letters, 2002 We propose a new generalised rank-3 demand system which nests all known (and new) rank-3 and rank-2 demand systems derived from the Quadratic Logarithmic (QL) cost function.
Panayiota Lyssiotou +2 more
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Solubility of Systems of Quadratic Forms [PDF]
Bulletin of the London Mathematical Society, 1997 We derive an upper bound for the least number of variables needed to guarantee that a system of t quadratic forms (t>=2) over a field F has a nontrivial zero.
Martin, Greg
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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
doaj +5 more sources
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
openaire +5 more sources