An anharmonic solution to the equation of motion for the simple pendulum In the small-angle regime the formula becomes equivalent to the result for the period of the linear pendulum. The present derivation of an anharmonic ... K Johannessen - 《European Journal of Physics》 被引量: 17发表:...
We revisit the theory of tokamak transport due to drift waves. We recall the whole development, starting with simple theories from the 1950s till today advanced theories using advanced fluid models taking full account of kinetic effects in the frequency regime of drift waves, also including the ...
An elementary method, based on the use of complex variables, is proposed for solving the equation of motion of a simple harmonic oscillator. The method is first applied to the equation of motion for an undamped oscillator and it is then extended to the more important case of a damped ...
An elementary method, based on the use of complex variables, is proposed for solving the equation of motion of a simple harmonic oscillator. The method is first applied to the equation of motion for an undamped oscillator and it is then extended to the more important case of a damped ...
The scalar always corresponds to simple harmonic motion (if stable); thus, we are only concerned with the real matrix. Without loss of generality, upon appropriate rotation, the real matrix \({\mathop{{{\bf{K}}}\limits^{\leftrightarrow}}_{{{\rm{OT}}}\) can be expressed as $${\...
the diffusing quantity, firing rate of the neuronal population, undergoing random walk on the SC graph. This linear diffusion model considers that the mean regional activity diffuses over the anatomical fibers governed by a deterministic linear differential equation18. The analytically tractable solution...
Also given is the generalized diffusion equation for the free Brownian particle pdf in the zero inertia limit. The generalized Fokker–Planck equations are similar in structure to the corresponding phenomenological equations. They, however, involve time‐dependent friction and frequency functions rather ...
In his seminal 1934 paper on Brownian motion and the theory of gases Kolmogorov introduced a second order evolution equation which displays some challengin
Vertical-axis wind turbines are great candidates to enable wind power extraction in urban and off-shore applications. Currently, concerns around turbine efficiency and structural integrity limit their industrial deployment. Flow control can mitigate thes
The structural–acoustic coupled system motion equation was numerically solved through structural analysis in the modal space, similar to the equation of motion of the structural system. Figure 11b shows a comparison of the SPL results from the analysis and test. The root mean square of the test...