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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stability analysis of fuzzy Polynomial fractional differential Systems using Sum-of-Squares [PDF]
مجله مدل سازی در مهندسی, 2022 This paper discusses the stability analysis of fractional-order polynomial systems by using the sum of squares method. furthermore the feasibility of designing the problems demonstrates which can not be represented in LMIs.
hassan yaghoubi, Assef Zare
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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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Polynomial Noises for Nonlinear Systems with Nonlinear Impulses and Time-Varying Delays
Mathematics, 2022 It is known that random noises have a significant impact on differential systems. Recently, the influences of random noises for impulsive systems have been started.
Lichao Feng +3 more
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Analytic reducibility of nondegenerate centers: Cherkas systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper we study the center problem for polynomial differential systems and we prove that any center of an analytic differential system is analytically reducible.
Jaume Giné, Jaume Llibre
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Invariant Algebraic Curves of Generalized Liénard Polynomial Differential Systems
Mathematics, 2022 In this study, we focus on invariant algebraic curves of generalized Liénard polynomial differential systems x′=y, y′=−fm(x)y−gn(x), where the degrees of the polynomials f and g are m and n, respectively, and we correct some results previously stated.
Jaume Giné, Jaume Llibre
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Tropical differential equations [PDF]
, 2015 Tropical differential equations are introduced and an algorithm is designed which tests solvability of a system of tropical linear differential equations within the complexity polynomial in the size of the system and in its coefficients.
Grigoriev, Dima
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Polynomial differential systems with hyperbolic algebraic limit cycles
Electronic Journal of Qualitative Theory of Differential Equations, 2020 For a given algebraic curve of degree $n$, we exhibit differential systems of degree greater than or equal $n$, by introducing functions which are solutions of certain partial differential equations.
Salah Benyoucef
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Wavelets operational methods for fractional differential equations and systems of fractional differential equations [PDF]
, 2017 In this thesis, new and effective operational methods based on polynomials and wavelets for the solutions of FDEs and systems of FDEs are developed.
A. H. Al-Bagawi, A. H. Al-Bagawi +8 more
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