Results 21 to 30 of about 27,914 (184)
Completeness of the cubic and quartic H\'enon-Heiles Hamiltonians
, 2005 The quartic H\'enon-Heiles Hamiltonian $H = (P_1^2+P_2^2)/2+(\Omega_1 Q_1^2+\Omega_2 Q_2^2)/2 +C Q_1^4+ B Q_1^2 Q_2^2 + A Q_2^4 +(1/2)(\alpha/Q_1^2+\beta/Q_2^2) - \gamma Q_1$ passes the Painlev\'e test for only four sets of values of the constants ...
A. P. Fordy +32 more
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A Multiparameter, Numerical Stability Analysis of a Standing Cantilever Conveying Fluid [PDF]
, 2002 In this paper, we numerically examine the stability of a standing cantilever conveying fluid in a multiparameter space. Based on nonlinear beam theory, our mathematical model turns out to be replete with exciting behavior, some of which was totally ...
Bou-Rabee, Nawaf M. +2 more
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The center problem and the composition condition for a family of quartic differential systems
Electronic Journal of Qualitative Theory of Differential Equations, 2018 Summary: In this paper, we give coefficient conditions for existence of a center in a family of planar quartic polynomial differential systems. We also show that for all considered center cases the composition condition is satisfied.
Zhou, Zhengxin, Romanovski, Valery
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A comparative study of computation of Lyapunov spectra with different algorithms
, 1999 In this paper we make a detailed numerical comparison between three algorithms for the computation of the full Lyapunov spectrum as well as the associated eigen-vectors of general dynamical systems.
Ramasubramanian, K., Sriram, M. S.
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Analytic calculation of energies and wave functions of the quartic and pure quartic oscillators
, 2006 Ground state energies and wave functions of quartic and pure quartic oscillators are calculated by first casting the Schr\"{o}dinger equation into a nonlinear Riccati form and then solving that nonlinear equation analytically in the first iteration of ...
Bellman R. E. +6 more
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Running coupling expansion for the renormalized $\phi^4_4$-trajectory from renormalization invariance [PDF]
, 1996 We formulate a renormalized running coupling expansion for the $\beta$--function and the potential of the renormalized $\phi^4$--trajectory on four dimensional Euclidean space-time. Renormalization invariance is used as a first principle. No reference is
A. Lesniewski +9 more
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A Perspective on Interactive Theorem Provers in Physics
Advanced Science, EarlyView.Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley +1 more source
Acta et commentationes Ştiinţe Exacte şi ale Naturii, 2023 This article investigates the phase portraits of polynomial differential systems with maximal multiplicity at the line at infinity. The study explores theoretical foundations, including algebraic multiplicity definitions, to establish the groundwork for qualitative analyses of dynamical systems.
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American Journal of Agricultural Economics, EarlyView.Abstract Germany's Renewable Energy Sources Act (REA), enacted in 2000 and subsequently amended, subsidized national renewable energy production with fixed feed‐in tariffs for renewable energy sources (RE) from wind, solar, and biogas. Empirical studies suggest that the policy was creating windfall effects for landowners and attribute farmland use ...
Lars Isenhardt +6 more
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On the pre-metric foundations of wave mechanics I: massless waves
, 2009 The mechanics of wave motion in a medium are founded in conservation laws for the physical quantities that the waves carry, combined with the constitutive laws of the medium, and define Lorentzian structures only in degenerate cases of the dispersion ...
Heisenberg, Landau, Obukhov
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