Finite-size scaling theory: Quantitative and qualitative approaches to critical phenomena
The finite-size scaling (FSS) theory is a relatively new and important attempt to study critical
phenomena; this paper aims to contribute to clarifying the philosophical significance of this …
phenomena; this paper aims to contribute to clarifying the philosophical significance of this …
Review of approximate equations for the pendulum period
PF Hinrichsen - European Journal of Physics, 2020 - iopscience.iop.org
Precision measurements of the pendulum period as a function of the amplitude can now be
made with a variety of instruments including MEMs gyro/accelerometers, and thus …
made with a variety of instruments including MEMs gyro/accelerometers, and thus …
An analytical solution to the equation of motion for the damped nonlinear pendulum
K Johannessen - European Journal of Physics, 2014 - iopscience.iop.org
An analytical approximation of the solution to the differential equation describing the
oscillations of the damped nonlinear pendulum at large angles is presented. The solution is …
oscillations of the damped nonlinear pendulum at large angles is presented. The solution is …
Simple 'log formulae'for pendulum motion valid for any amplitude
FMS Lima - European journal of physics, 2008 - iopscience.iop.org
By combining a logarithmic approximate formula for the pendulum period derived recently
(valid for amplitudes below π/2 rad) with the Cromer asymptotic approximation (valid for …
(valid for amplitudes below π/2 rad) with the Cromer asymptotic approximation (valid for …
Approximation for a large-angle simple pendulum period
A Beléndez, JJ Rodes, T Beléndez… - European Journal of …, 2009 - iopscience.iop.org
An approximation scheme to obtain the period for large amplitude oscillations of a simple
pendulum is analysed and discussed. The analytical approximate formula for the period is …
pendulum is analysed and discussed. The analytical approximate formula for the period is …
Cubication of conservative nonlinear oscillators
A cubication procedure of the nonlinear differential equation for conservative nonlinear
oscillators is analysed and discussed. This scheme is based on the Chebyshev series …
oscillators is analysed and discussed. This scheme is based on the Chebyshev series …
An approximate solution to the equation of motion for large-angle oscillations of the simple pendulum with initial velocity
K Johannessen - European journal of physics, 2010 - iopscience.iop.org
An analytic approximation of the solution to the differential equation describing the
oscillations of a simple pendulum at large angles and with initial velocity is discussed. In the …
oscillations of a simple pendulum at large angles and with initial velocity is discussed. In the …
An anharmonic solution to the equation of motion for the simple pendulum
K Johannessen - European journal of physics, 2011 - iopscience.iop.org
An anharmonic solution to the differential equation describing the oscillations of a simple
pendulum at large angles is discussed. The solution is expressed in terms of functions not …
pendulum at large angles is discussed. The solution is expressed in terms of functions not …
Improvements in the approximate formulae for the period of the simple pendulum
M Turkyilmazoglu - European journal of physics, 2010 - iopscience.iop.org
This paper is concerned with improvements in some exact formulae for the period of the
simple pendulum problem. Two recently presented formulae are re-examined and refined …
simple pendulum problem. Two recently presented formulae are re-examined and refined …
Comment on 'Approximation for a large-angle simple pendulum period'
Y Qing-**n, D Pei - European Journal of Physics, 2009 - iopscience.iop.org
In a recent letter, Beléndez et al (2009 Eur. J. Phys. 30 L25–8) proposed an alternative of
approximation for the period of a simple pendulum suggested earlier by Hite (2005 Phys …
approximation for the period of a simple pendulum suggested earlier by Hite (2005 Phys …