Dynamics of a May-Leonard asymmetric system of ordinary differential equations
We study the May-Leonard asymmetric model in $R^3$ which was introduced in [3,8]. It is the celebrated classical May-Leonard model incorporating asymmetric competitive effects instead of requiring equal intrinsic growth rates for each competing ...
Fabio Scalco Dias +2 more
doaj
Integrals of ν-graded systems of ordinary differential equations
The problem of finding integrals of a system of n first-order differential equations is discussed: \[ Dy_ i=f_ i(y)\quad (i=1,...,n)\quad,\quad y=(y_ 1,...,y_ n) \] where the \(f_ i's\) are infinite series of rational functions in y and K, the field of coefficients, is a differential field. The author obtains an algorithm which yields all integrales of
openaire +1 more source
Study of fully coupled three-dimensional envelope instability using automatic differentiation
Automatic differentiation is a powerful tool for computing derivatives of simulation results with respect to given parameters. In this Letter, we have applied this tool to investigate the instability of a dynamical system governed by 21 ordinary ...
Ji Qiang
doaj +1 more source
On the variational principle for a system of ordinary differential equations
Necessary and sufficient conditions for the direct representability of one system of ordinary differential equations in the form of Lagrange-Ostrogradsky equations are obtained and the corresponding variational principle (the Hamilton-Ostrogradsky action)
Svetlana A. Budochkina, Thi Huyen Luu
doaj +1 more source
Periodic Solution for Nonlinear System of Differential Equations Depending on The Gamma Distribution
In this paper we study the periodic solution of nonlinear system of differential equations depending on the gamma distribution by using the numerical analytic method to investigate periodic solutions of ordinary differential equation which given by ...
Raad N. Butris
doaj
ERODE: A Tool for the Evaluation and Reduction of Ordinary Differential Equations
L. Cardelli +3 more
semanticscholar +1 more source
Transient flow and heat transfer of CuO-Al<sub>2</sub>O<sub>3</sub>/H<sub>2</sub>O hybrid nanofluid flow over a radially stretching surface with dissipation and ohmic heating. [PDF]
Ragavi M, Poornima T, Sreenivasulu P.
europepmc +1 more source
Implementing physics-informed neural networks with deep learning for differential equations. [PDF]
Emmert-Streib F +3 more
europepmc +1 more source
Fractional dynamics and optical soliton propagation in mono-mode fibers via the Fokas system. [PDF]
Iqbal N +5 more
europepmc +1 more source
Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]
Almetwally EM +5 more
europepmc +1 more source

