Zobrazeno 1 - 10
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pro vyhledávání: '"A, Prelle"'
The Prelle-Singer method allows determining an elementary first integral admitted by a polynomial vector field in the plane. It is a semi-algorithm whose nonlinear step consists of determining the Darboux polynomials of the vector field. In this arti
Externí odkaz:
http://arxiv.org/abs/2405.07912
We consider a modified damped version of H\'enon-Heiles system and investigate its integrability. By extending the Painlev\'e analysis of ordinary differential equations we find that the modified H\'enon-Heiles system possesses the Painlev\'e propert
Externí odkaz:
http://arxiv.org/abs/2403.08410
Akademický článek
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A new method of solving third-order ordinary complex differential equations (OCDEs) by generalizing Prelle-Singer. The idea which is a procedure for finding the solution for second-order differential equations in the real domain. We have illustrated
Externí odkaz:
http://arxiv.org/abs/1805.01785
Publikováno v:
In International Journal of Non-Linear Mechanics January 2020 118
We consider systems of ordinary differential equations (ODEs) of the form ${\cal B}{\mathbf K}=0$, where $\cal B$ is a Hamiltonian operator of a completely integrable partial differential equation (PDE) hierarchy, and ${\mathbf K}=(K,L)^T$. Such syst
Externí odkaz:
http://arxiv.org/abs/1405.2720
Publikováno v:
International Journal of Differential Equations. 3/17/2020, p1-9. 9p.
Autor:
Trinks, Jasmin
Der Lehrer Karl Prelle (1895- 1975) ist den Wenigsten ein Begriff, aber auch er hatte sich der Lehre und Erziehung im Besonderen gewidmet und eine Vielzahl von Aufzeichnungen, Bildern und Texten hinterlassen.Ein Schlüsselthema seiner Arbeit war, das
Publikováno v:
J. Non. Math. Phys. Vol. 12, Sub. 1, 184 - 201, (2005)
We discuss a method of solving $n^{th}$ order scalar ordinary differential equations by extending the ideas based on the Prelle-Singer (PS) procedure for second order ordinary differential equations. We also introduce a novel way of generating additi
Externí odkaz:
http://arxiv.org/abs/nlin/0501045
Publikováno v:
Computer Physics Communications, Holanda, v. 144, n. 1, p. 46-62, 2002.
A set of MapleV R5 software routines for solving first order ordinary differential equations (1ODEs) is presented. The package implements the Prelle-Singer Method in its original form plus its extension to include elementary functions (ELFs) on the i
Externí odkaz:
http://arxiv.org/abs/math/0008110