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Showing 1 to 7 of 7 for “"first integral"”.
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Solving transport-density equation with diffusion using the first integral method and the generalized hyperbolic functions method
… diffusion traffic flow model. Basically, the first integral method (FIM) and the generalized hyperbolic functions method (GHFM) are employed to solve the proposed model and to give compelling evidence that regularization of the conservation law by adding viscosity that will undeniably remove …
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The Cat Map on Prime Lattices
… sites into periodic orbits. We give a first integral (constant of motion) of this dynamical system and use it to find additional properties of the dynamics.
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An Analogue of the Laplace-Runge-Lenz Vector for Timelike Geodesics in Schwarzschild Spacetime
… origin r = 0. In this work we derive four scalar first integrals of timelike geodesics in Schwarzschild spacetime. Two of the first integrals, corresponding to energy and angular momentum, are well-known. The other two first integrals, an angular quantity and a temporal quantity, are not as …
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Logaritminės eilės begalinio indekso nehomogeninis kraštinis Rymano uždavinys sričiai, apribotai begaliniu Dini – Lipšico kontūru /
… In this paper is used asymptotics of Cauchy type integrals with a logarithmic density. Basically differ functions Фα(z) and Фα*(z). In the first integral lnαt is contour value of the analytical function lnαz and for Cauchy-type integral Фα(z) is obtained polynomial asymptotic formula. Function …
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Integrability, localisation and bifurcation of an elastic conducting rod in a uniform magnetic field
… to a four-dimensional canonical system with a first integral provided the magnetic field is not aligned with the force within the rod at any point as the system losses rank. An energy surface is specified, defning three-dimensional flows. Poincare sections then show closed curves. Through …
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Curriculum renewal in acute care: a South African based study for returning Cuban-trained students
Background: Emergency Care plays an integral role in Universal Health Coverage (UHC), yet several limitations have been identified in Low- and Middle-Income Countries (LMIC), one of which is the lack of dedicated, integrated curricula. In 1996 the Nelson Mandela Fidel Castro (NMFC) student program …
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Geometric Mechanics of Active Particles
… limit. Furthermore, the existence of this scalar first integral greatly simplifies analysis of a system's dynamics. On the other hand, active systems imply power-injection at the microscale and thus dynamics that can not be encapsulated within the Hamiltonian formalism. It is therefore surprising …