Results 11 to 20 of about 16,555,549 (335)
First integrals of the Maxwell–Bloch system [PDF]
Comptes Rendus. Mathématique, 2020 We investigate the analytic, rational and $C^1$ first integrals of the Maxwell–Bloch system \begin{equation*} \dot{E}=-\kappa E+gP,\quad \dot{P}=-\gamma _{\bot }P+gE\triangle , \quad \dot{\triangle }=-\gamma _{\Vert }(\triangle -\triangle _0)-4gPE ...
Huang, Kaiyin, Shi, Shaoyun, Li, Wenlei
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Godunova Type Inequality for Sugeno Integral [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this paper, we investigate Godunova type inequality for Sugeno integrals in two cases. At the first case, we suppose that the inner integral is the Riemann integral and the remaining two integrals are of Sugeno type.
Bayaz Daraby +2 more
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Covariants, Invariant Subsets, and First Integrals [PDF]
Épijournal de Géométrie Algébrique, 2020 Let $k$ be an algebraically closed field of characteristic 0, and let $V$ be a finite-dimensional vector space. Let $End(V)$ be the semigroup of all polynomial endomorphisms of $V$.
Frank Grosshans, Hanspeter Kraft
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On linearizability via nonlocal transformations and first integrals for second-order ordinary differential equations [PDF]
, 2020 Nonlinear second-order ordinary differential equations are common in various fields of science, such as physics, mechanics and biology. Here we provide a new family of integrable second-order ordinary differential equations by considering the general ...
D. Sinelshchikov
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The Routh theorem for mechanical systems with unknown first integrals [PDF]
Theoretical and Applied Mechanics, 2017 In this paper we discuss problems of stability of stationary motions of conservative and dissipative mechanical systems with first integrals. General results are illustrated by the problem of motion of a rotationally symmetric rigid body on a perfectly ...
Karapetyan Alexander V. +1 more
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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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First integrals of holonomic systems without Noether symmetries [PDF]
, 2020 A theorem is proved which determines the first integrals of the form I = Kab(t, q)q̇ q̇+Ka(t, q)q̇ +K(t, q) of autonomous holonomic systems using only the collineations of the kinetic metric which is defined by the kinetic energy or the Lagrangian of the
M. Tsamparlis, Antonios Mitsopoulos
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Exact solutions, Lagrangians and first integrals for generalized Camassa–Holm equation
Partial Differential Equations in Applied Mathematics, 2021 In this paper, Lagrangians and the first integrals of a new class of Liénard-type equations have been investigated. This class can be obtained using the traveling wave reduction of the generalized Camassa–Holm equation.
H. Elzehri +2 more
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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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