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Our algorithm, dedicated to the computation of the first excited state, always converges to a stationary state of the multiconfiguration model, which can be interpreted as an approximate excited state of the molecule.
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Further, two types of externally forced nonlinear oscillators are reviewed: (i) those that are excited by elliptic-type excitations with different exact and approximate solutions; (ii) those that are damped and excited by harmonic excitations, but their approximate response is expressed in terms of Jacobi elliptic functions.
Approximate criteria for chaos in two-well potential systems excited by harmonic force are considered.
Disulfide reduction is also accompanied by an approximate 2-fold decrease in the protein fluorescence when excited at 280 nm (Figure S4).
An approximate solution for the super-harmonic resonance response of a periodically excited nonlinear oscillator with a piecewise nonlinear linear characteristic is constructed using both a matching method and a modified averaging method.
Initially, an invertible coordinate transformation obtained through judicious actuator placement is used to transform the approximate system into a form where the evolution of each state is excited directly by only one actuator.
An approximate solution is determined for the motion of an infinite elastic plate, excited by a torsional moment (with the axis of the moment normal to the plate) and by a horizontal force (parallel to the plate).
An analytical approximate solution is constructed for the primary resonance response of a periodically excited non-linear oscillator, which is characterized by a combination of a weakly non-linear and a linear differential equation.
An approximate solution is determined for the motion of an infinite elastic plate, excited by a vertical force (normal to the plate) and by a moment in the vertical plane (with the axis of the moment parallel to the plate).
An approximate analytical procedure is presented to estimate the response power spectral density of a randomly excited spring/mass/damper system having a bilinear spring.
An approximate state-space method for obtaining the time varying mean and covariance of non-linear systems excited by non-stationary random processes is presented.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com