Results 21 to 30 of about 256,760 (248)
On the integrability of Hamiltonian systems with d degrees of freedom and homogenous polynomial potential of degree n [PDF]
Communications in Contemporary Mathematics, 2018 We consider Hamiltonian systems with [Formula: see text] degrees of freedom and a Hamiltonian of the form [Formula: see text] where [Formula: see text] is a homogenous polynomial of degree [Formula: see text]. We prove that such Hamiltonian systems with [Formula: see text] odd or [Formula: see text], have a Darboux first integral if and only if they ...
Llibre, Jaume, Valls, Clàudia
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Computing necessary integrability conditions for planar parametrized homogeneous potentials [PDF]
, 2014 Let $V\in\mathbb{Q}(i)(\a_1,\dots,\a_n)(\q_1,\q_2)$ be a rationally parametrized planar homogeneous potential of homogeneity degree $k\neq -2, 0, 2$. We design an algorithm that computes polynomial \emph{necessary} conditions on the parameters $(\a_1 ...
Bostan, Alin +2 more
core +5 more sources
Simple cosmological model with inflation and late times acceleration
European Physical Journal C: Particles and Fields, 2018 In the framework of polynomial Palatini cosmology, we investigate a simple cosmological homogeneous and isotropic model with matter in the Einstein frame.
Marek Szydłowski, Aleksander Stachowski
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Quasi-polynomial 3D electric and magnetic potentials homogeneous in Euler's sense
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2017 Abstract Electric and magnetic fields homogeneous in Euler's sense are a useful instrument for designing the systems of charge particle optics. The similarity principle for the charged particle trajectories in these fields was applied by Golikov for the first time to create spectrographic charge particle optical systems in a more systematic and ...
Berdnikov, Alexander S. +3 more
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Explicit Construction of First Integrals with Quasi-monomial Terms from the Painlev\'{e} Series [PDF]
, 2004 The Painlev\'{e} and weak Painlev\'{e} conjectures have been used widely to identify new integrable nonlinear dynamical systems. For a system which passes the Painlev\'{e} test, the calculation of the integrals relies on a variety of methods which are ...
Bountis, Tassos +2 more
core +1 more source
ChemCatChem, 2021 Homogeneous hydrogenation catalysts based on metal complexes provide a diverse and highly tunable tool for the fine chemical industry. To fully unleash their potential, fast and effective methods for the evaluation of catalytic properties are needed.
Robin van Schendel +3 more
semanticscholar +1 more source
Emergence of running dark energy from polynomial f(R) theory in Palatini formalism [PDF]
The European Physical Journal C, 2017 We consider FRW cosmology in $$f(R)= R+ \gamma R^2+\delta R^3$$f(R)=R+γR2+δR3 modified framework. The Palatini approach reduces its dynamics to the simple generalization of Friedmann equation.
M. Szydłowski +2 more
semanticscholar +2 more sources
Multidimensional Baker-Akhiezer functions and Huygens' Principle [PDF]
, 1999 A notion of rational Baker-Akhiezer (BA) function related to a configuration of hyperplanes in C^n is introduced. It is proved that BA function exists only for very special configurations (locus configurations), which satisfy certain overdetermined ...
Chalykh, O. A. +2 more
core +3 more sources
Revista Brasileira de Zootecnia, 2005 Registros individuais perfazendo 8.183 controles de produção de leite (PLC) de 1.273 primeiras lactações de vacas da raça Gir de rebanhos supervisionados pela ABCZ no período 1994/2000 foram utilizados para se estimar componentes de variância e ...
Claudio Napolis Costa +5 more
doaj +1 more source
Programmable quantum simulation by dynamic Hamiltonian engineering
New Journal of Physics, 2014 Quantum simulation is a promising near term application for quantum information processors with the potential to solve computationally intractable problems using just a few dozen interacting qubits.
David Hayes +2 more
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