For explaining the VA procedure, we consider a general nonlinear oscillator
in the form of Eq.
Marquez, Higher order analytical approximations to a nonlinear oscillator
with discontinuity by He's homotopy perturbation method, Physics Letters A 372 (2008) 2010-2016.
In this paper it is shown how it is possible to realise a simple nonlinear oscillator
and observe the behaviour of the main nonlinear characteristics from a mechanical (and mathematical) point of view.
It is difficult enough to analyze the dynamics of a single nonlinear oscillator
, let alone a whole population of them.
We consider a generalized nonlinear oscillator
in the form
In this paper we consider the following nonlinear oscillator
where T = 2[pi]/[omega] is period of the nonlinear oscillator
, F(u) = [integral] f(u) du.
Here we have a collection of (on-site, Einstein) nonlinear oscillators
whose closed trajectories, prescribed by the given initial conditions, correspond to the energy levels of a centre fixed point.
The topics include quantum adiabatic switching and a supersymmetric approach to excited states of nonlinear oscillators
, benchmark studies of spectroscopic parameters for hydrogen halide series via scalar relativistic state-specific multi-reference perturbation theory, extending the application of constrained density functional theory to large molecular systems, a chemist's perspective on intermolecular interactions through energy decomposition, and the first-principles design of complex chemical hydrides as hydrogen storage materials.
After Visarath In and Joe Neff arrived at the lab, research accelerated and theoretical work aimed at better understanding the physics of coupled nonlinear oscillators
rapidly evolved into the "coupledcore magnetometer" which involves coupling an odd number of wound ferromagnetic cores cyclically to one another in a ring oscillator configuration.
com/research/91205c/the_duffing_equati) has announced the addition of John Wiley and Sons Ltd's new book "The Duffing Equation: Nonlinear Oscillators
and their Behaviour" to their offering.
The Duffing equation; nonlinear oscillators
and their behaviour.