Results 1 to 10 of about 494,012 (266)
On the non existence of periodic orbits for a class of two dimensional Kolmogorov systems [PDF]
E-Journal of Analysis and Applied Mathematics, 2021 In this paper we characterize the integrability and the non-existence of limit cycles of Kolmogorov systems of the form $$ x^{\prime}=x\left(B_{1}(x,y)\, \ln \left| \frac{A_{3}(x,y)}{A_{4}(x,y)}\right| + B_{3}(x,y)\ln \left| \frac{A_{1}(x,y)}{A_{2}(x,y)}\
Rachid Boukoucha
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On the entire and finite valued solutions of the three-body problem [PDF]
Theoretical and Applied Mechanics, 2016 A full list of entire and finite valued solutions of the three body problem in the form of functions, depending on a time variable, is established. All the entire and finite valued solutions are among the solutions of Euler and Lagrange.
Belyaev Alexandr
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Integrability and Limit Cycles via First Integrals [PDF]
Symmetry, 2021 In many problems appearing in applied mathematics in the nonlinear ordinary differential systems, as in physics, chemist, economics, etc., if we have a differential system on a manifold of dimension, two of them having a first integral, then its phase portrait is completely determined.
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Exact Closed-Form Solution for the Oscillator with a New Type of Mixed Nonlinear Restitution Force
Mathematics, 2023 This paper shows an oscillator with a spring made of material where the stress is a function not only of strain but also strain rate. The corresponding restitution force is of strong nonlinear monomial type and is the product of displacement and velocity
Livija Cveticanin
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Entrainment in the master equation [PDF]
Royal Society Open Science, 2018 The master equation plays an important role in many scientific fields including physics, chemistry, systems biology, physical finance and sociodynamics. We consider the master equation with periodic transition rates.
Michael Margaliot +2 more
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Acta et Commentationes: Ştiinţe Exacte şi ale Naturii, 2023 For the ternary differential system of Lyapunov-Darboux type with nonlinearities of degree four, using the Lie algebra admitted by this system, was obtained the analytic first integral, determined the Lyapunov function and the conditions of stability of
Natalia Neagu, Mihail Popa, Victor Orlov
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On One Integrable System With a Cubic First Integral [PDF]
Letters in Mathematical Physics, 2012 LaTeX with AMS fonts, 9 ...
Vershilov, Alexander Vladimirovich +1 more
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Alignment and integration of the first PLATO camera [PDF]
Space Telescopes and Instrumentation 2022: Optical, Infrared, and Millimeter Wave, 2022 sponsorship: This work presents results from the European Space Agency (ESA) space mission PLATO. The PLATO payload, the PLATO Ground Segment and PLATO data processing are joint developments of ESA and the PLATO Mission Consortium (PMC). Funding for the PMC is provided at national levels, in particular by countries participating in the PLATO ...
Royer, P. +25 more
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Известия Иркутского государственного университета: Серия "Математика", 2017 The system of ordinary differential equations with degree nonlinearities is considered. Systems of such kind arise as comparison systems at stability analysis by means non-linear approximation and at application of reduction method to switched systems ...
A. Kosov, E. Semenov, S. P. Golysheva
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Kyushu Journal of Mathematics, 1995 The Bohr-Mollerup theorem asserts that the gamma function \(\Gamma (a)\) is the only function defined for \(a > 0\) such that (i) \(\Gamma (a) > 0\), (ii) \(\Gamma (1) = 1\), (iii) \(a \Gamma (a) = \Gamma (a + 1)\), and (iv) \(\Gamma (a)\) is logarithmically convex. The authors use this to prove the well-known result (1) \(\zeta' (0,a) = \log \Gamma (a)
Choi, Junesang, Nam, Young Man
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