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First, the partially averaged Itô equation for the system amplitude is derived by using the stochastic averaging method for strongly non-linear systems.
First, a stochastic averaging method for strongly non-linear oscillators under combined harmonic and white-noise excitations using generalized harmonic functions is introduced.
An analytic method for strongly non-linear problems, namely the homotopy analysis method (HAM), is applied to give convergent series solution of non-similarity boundary-layer flows.
A stochastic averaging method for strongly non-linear oscillators under external and/or parametric excitation of bounded noise is proposed by using the so-called generalized harmonics functions.
This study also highlights the challenges in translation process method for strongly non-Gaussian response process when moment-based Hermite model is used for representing the translation function between non-Gaussian response process and underlying Gaussian process.
In a paper published today in the journal Advanced Healthcare Materials, the team describes their method for strongly bonding a layer of hydrogel — a squishy, slippery polymer material that consists mostly of water — to common elastomers such as latex, rubber, and silicone.
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The methods for strongly correlated quantum many-body systems rely on the assumption that the model has only a few rather local degrees of freedom.
We report on a new method for synthesising strongly blue and green photoluminescent graphene quantum dots (GQDs).
The present method is very effective and convenient method for solving strongly nonlinear oscillator systems arising in nonlinear science and engineering.
We particularly present a new three-stages implicit numerical method for searching strongly time-dependent, quasi-stationary and steady-state solutions for the above-mentioned equations.
First, the stochastic averaging method for controlled strongly nonlinear oscillators under combined harmonic and white noise excitations using generalized harmonic functions is introduced.
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