Results 11 to 20 of about 299,219 (282)
On the reflective function of polynomial differential system
Journal of Mathematical Analysis and Applications, 2003 The author investigates the planar differential system \[ \begin{aligned} \dot{x} &=P(t,x,y):=a(t,x)+b(t,x)y+c(t,x)y^2,\\ \dot{y} &=Q(t,x,y):=e(t,x)+f(t,x)y+g(t,x)y^2, \end{aligned} \tag{1} \] with continuously differentiable coefficients by the method of reflective functions (RF). The theory of RF was established in 1986 by \textit{V. I.
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Discrete & Continuous Dynamical Systems - A, 2013 In this paper we find necessary and sufficient conditions in order that a planar quasi-homogeneous polynomial differential system has a polynomial or a rational first integral. We also prove that any planar quasi-homogeneous polynomial differential system can be transformed into a differential system of the form u˙ = uf(v), ˙v = g(v) with f(v) and g(v)
Giné, Jaume +2 more
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Polynomial Dynamical Systems, Reaction Networks, and Toric Differential Inclusions [PDF]
SIAM Journal on Applied Algebra and Geometry, 2019 28 pages, 3 ...
Gheorghe Craciun
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Reduction of integrable planar polynomial differential systems
Applied Mathematics Letters, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jaume Gine
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A New Approach of Morgan-Voyce Polynomial to Solve Three Point Boundary Value Problems
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2021 In this paper, a new procedure is introduced to estimate the solution for the three-point boundary value problem which is instituted on the use of Morgan-Voyce polynomial. In the beginning, Morgan-Voyce polynomial along with their important properties is
Bushra Esaa Kashem
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Limit Cycles of Polynomially Integrable Piecewise Differential Systems
Axioms, 2023 In this paper, we study how many algebraic limit cycles have the discontinuous piecewise linear differential systems separated by a straight line, with polynomial first integrals on both sides. We assume that at least one of the systems is Hamiltonian. Under this assumption, piecewise differential systems have no more than one limit cycle.
Belén García +3 more
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Polynomial and rational first integrals for planar homogeneous polynomial differential systems [PDF]
Publicacions Matemàtiques, 2021 In this paper we find necessary and suficient conditions in order that a planar homogeneous polynomial differential system has a polynomial or rational first integral. We apply these conditions to linear and quadratic homogeneous polynomial differential systems.
Giné, Jaume, Grau, Maite, Llibre, Jaume
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Phase portraits of Bernoulli quadratic polynomial differential systems
Electronic Journal of Differential Equations, 2020 In this article we study a new class of quadratic polynomial differential systems. We classify all global phase portraits in the Poincare disk of Bernoulli quadratic polynomial differential systems in R^2. For more information see https://ejde.math.txstate.edu/Volumes/2020/48/abstr ...
Llibre, Jaume +2 more
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On the polynomial differential systems having polynomial first integrals
Bulletin des Sciences Mathématiques, 2012 We consider the class of complex planar polynomial differential systems having a polynomial first integral. Inside this class the systems having minimal polynomial first integrals without critical remarkable values are the Hamiltonian ones. Here we mainly study the subclass of polynomial differential systems such that their minimal polynomial first ...
García, Belen +2 more
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Ratio Mathematica, 2023 This paper presents a new approach of using polynomials such as Hermite, Bernoulli, Chebyshev, Fibonacci and Bessel to solve neutral delay differential equations. The proposed method is based on the truncated polynomial expansion of the function together
Kayelvizhi C., Emimal Kanaga Pushpam A.
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