Results 21 to 30 of about 16,824,350 (311)

Darboux and rational first integrals for a family of cubic three dimensional systems

Zanco Journal of Pure and Applied Sciences, 2021
In this paper, we investigate the first integrals of the following system exam.PNG exam1.PNG This kind of system is a particular case of the jerk cubic three dimensional polynomial differential systems.
Sarbast Hussein Mikaeel, Azad I. Amen
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A first integral to the partially averaged Newtonian potential of the three-body problem [PDF]

Celestial mechanics & dynamical astronomy, 2016
We consider the partial average, i.e. the Lagrange average with respect to just one of the two mean anomalies, of the Newtonian part of the perturbing function in the three-body problem Hamiltonian.
Gabriella Pinzari
semanticscholar   +1 more source

On a Class of Integrable Systems with a Cubic First Integral [PDF]

Communications in Mathematical Physics, 2010
A few years ago Selivanova gave an existence proof for some integrable models, in fact geodesic flows on two dimensional manifolds, with a cubic first integral. However the explicit form of these models hinged on the solution of a nonlinear third order ordinary differential equation which could not be obtained.
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The solution of some persistent $p : -q$ resonant center problems

Electronic Journal of Qualitative Theory of Differential Equations, 2018
The notion of $p:-q$ resonant center was introduced recently and studied by several authors. In this paper we generalize the notion of a persistent center to a persistent $p:-q $ resonant center and find conditions for existence of a persistent $p:-q ...
Maja Zulj, Brigita Ferčec, Matej Mencinger   +2 more
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On the generic nonexistence of first integrals [PDF]

Proceedings of the American Mathematical Society, 1986
The property of having no C n {C^n}
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On the topology of foliations with a first integral [PDF]

Boletim da Sociedade Brasileira de Matem�tica, 2000
31 ...
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Darboux and Analytic First Integrals of Kingni–Jafari System with Only One Stable Equilibrium Point.

Zanco Journal of Pure and Applied Sciences, 2020
In this paper, we illustrate by an evidence that the Kingni–Jafari differential system where  and   are real parameters has no Darboux and rational first integrals for any value of   Furthermore, we show that this system has no global first integrals ...
Shno F. Muhammed, Niazy H. Hussein, Azad I. Amen   +2 more
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Noetherian first integrals [PDF]

Journal of Nonlinear Mathematical Physics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leach, P. G. L., Flessas, G. P.
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Polynomial Inverse Integrating Factors, First Integral and Non-Existence of Limit Cycles in the Plane for Quadratic Systems

Science Journal of University of Zakho, 2017
The main purpose of this paper is to study the existence of polynomial inverse integrating factor and first integral, and non-existence of limit cycles for all systems. Furthermore, we consider some applications.
Ahmed M. Hussien
doaj   +1 more source

A novel study on the fourth first integral for the rotatory motion of an impacted charged rigid body by external torques

Journal of Low Frequency Noise Vibration and Active Control
The main purpose of this study is to explore the feasibility of achieving a fourth integral for a charged rigid body (RGB) rotary movement, considering the influence of gyrostatic torque (GT) and a uniform electromagnetic field. Six nonlinear first-order
T. Amer, Asma Alanazy, A. H. Elneklawy, W. Amer, H. El-Kafly   +4 more
semanticscholar   +1 more source