Results 51 to 60 of about 16,555,549 (335)
Matrix beta-integrals: an overview
First examples of matrix beta-integrals were discovered on 1930-50s by Siegel and Hua, in 60s Gindikin obtained multi-parametric series of such integrals.
Neretin, Yury A.
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Moving energies as first integrals of nonholonomic systems with affine constraints [PDF]
In nonholonomic mechanical systems with constraints that are affine (linear nonhomogeneous) functions of the velocities, the energy is typically not a first integral. It was shown in Fassò and Sansonetto (2016 J. Nonlinear Sci.
F. Fassò +2 more
semanticscholar +1 more source
Darboux integrability of trapezoidal H4 and H4 families of lattice equations I: first integrals [PDF]
In this paper we prove that the trapezoidal H4 and the H6 families of quad-equations are Darboux integrable by constructing their first integrals. This result explains why the rate of growth of the degrees of the iterates of these equations is linear ...
G. Gubbiotti, R. Yamilov
semanticscholar +1 more source
Construction of Lyapunov functions from first integrals for stochastic stability analysis
This paper explores the application of first integrals in constructing Lyapunov functions for stability analysis of dynamical systems in stochastic domains. A key advantage of using first integrals is their ability to embed system-specific structural and
Náprstek J., Fischer C.
doaj +1 more source
Conservation laws in the continuum $1/r^2$ systems
We study the conservation laws of both the classical and the quantum mechanical continuum $1/r^2$ type systems. For the classical case, we introduce new integrals of motion along the recent ideas of Shastry and Sutherland (SS), supplementing the usual ...
B Siriam Shastry +8 more
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Complete integrable systems with unconfined singularities [PDF]
We prove that any globally periodic rational discrete system in K^k(where K denotes either R or C), has unconfined singularities, zero algebraic entropy and it is complete integrable (that is, it has as many functionally independent first integrals as ...
Manosa, Victor
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ABSTRACT Blinatumomab has been shown to be highly effective for patients with pediatric B‐ALL and has recently become standard of care therapy. Due to its past use in the clinical trial setting, there is limited information available about real‐world administration.
Katelyn Oranges +12 more
wiley +1 more source
IMPULSE CONTROL OF THE MANIPULATION ROBOT
A nonlinear control problem for a manipulation robot is considered. The solvability conditions for the problem are obtained in the class of special impulse controls. To achieve the control goal, the kinetic energy of the manipulation robot is used.
Yurii F. Dolgii +2 more
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Superintegrability with third order invariants in quantum and classical mechanics
We consider here the coexistence of first- and third-order integrals of motion in two dimensional classical and quantum mechanics. We find explicitly all potentials that admit such integrals, and all their integrals.
Bertrand J. +25 more
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Generalized rational first integrals of analytic differential systems [PDF]
In this paper we mainly study the necessary conditions for the existence of functionally independent generalized rational first integrals of ordinary differential systems via the resonances.
Cong, Wang, Llibre, Jaume, Zhang, Xiang
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