Results 151 to 160 of about 6,078 (188)

Constructions and classifications of projective Poisson varieties. [PDF]

Lett Math Phys, 2018
Pym B.
europepmc   +1 more source

N-body dynamics on closed surfaces: the axioms of mechanics. [PDF]

Proc Math Phys Eng Sci, 2016
Boatto S, Dritschel DG, Schaefer RG.
europepmc   +1 more source

Neuro-computing solution for Lorenz differential equations through artificial neural networks integrated with PSO-NNA hybrid meta-heuristic algorithms: a comparative study. [PDF]

Sci Rep
Aslam MN, Aslam MW, Arshad MS, Afzal Z, Hassani MK, Zidan AM, Akgül A.   +6 more
europepmc   +1 more source

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On Construction of Darboux integrable discrete models

Reports on Mathematical Physics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zheltukhin, Kostyantyn, Zheltukhina, Natalya   +1 more
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DARBOUX INTEGRABILITY FOR THE RÖSSLER SYSTEM

International Journal of Bifurcation and Chaos, 2002
In this note we characterize all generators of Darboux polynomials of the Rössler system by using weight homogeneous polynomials and the method of characteristic curves for solving linear partial differential equations. As a corollary we prove that the Rössler system is not algebraically integrable, and that every rational first integral is a rational
Llibre, Jaume, Zhang, Xiang
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Darboux-integrable discrete systems

Theoretical and Mathematical Physics, 2008
We extend Laplace’s cascade method to systems of discrete “hyperbolic” equations of the form ui+1,j+1 = f(ui+1,j, ui,j+1 , ui,j), where uij is a member of a sequence of unknown vectors, i, j ∊ ℤ. We introduce the notion of a generalized Laplace invariant and the associated property of the system being “Liouville.” We prove several statements on the ...
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Darboux and Liouvillian Integrability

2017
Darboux and Liouvillian integrability is mainly concerned with algebraic aspects of the integrability of differential systems, which is related to many subjects, such as real and complex analysis, algebraic geometry, differential algebra, differential Galois theory, and so on.
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Darboux's problem of quadratic integrals

Journal of Physics A: Mathematical and General, 1984
Consider a Hamiltonian system with two degrees of freedom, determined by \(H=1/2(p^ 2_ x+p^ 2_ y)+V(x,y)\). The problem of determining all potentials V, for which the system admits a second constant of the motion, quadratic in the momenta, was posed for the first time, but not completely resolved by Darboux.
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Darboux Integrability in More Than Two Dimensions

Applicable Algebra in Engineering, Communication and Computing, 2001
The method of Darboux is a classical technique for solving a hyperbolic second-order PDE for one function of two variables, but is also applicable to first-order systems for two functions of two variables [see \textit{R. Bryant, P. Griffiths} and \textit{L. Hsu}, Sel. Math., New Ser. 1, 21-112 (1995; Zbl 0853.58102)].
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The Darboux Integral

2022
Gregory Convertito, David Cruz-Uribe
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