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Nonlinear Oscillators with "Modulus" Potentials: Dynamic and Stochastic Solutions
Blekinge Tekniska Högskola, Fakulteten för teknikvetenskaper, Institutionen för maskinteknik.
2015 (engelsk)Inngår i: Doklady. Mathematics, ISSN 1064-5624, E-ISSN 1531-8362, Vol. 92, nr 2, s. 268-271Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

Two models of an anharmonic oscillator that have exact solutions are considered. The equationsdescribe motion in a “modulus” potential well with a singularity at the minimum and in a double symmetricwell with a singularity at the vertex of the potential barrier. The forms and spectra of the oscillations are computed. Forced oscillations caused by a random force are analyzed on the basis of equations with Langevinsources. Nonstationary solutions of the corresponding Fokker–Planck equations are constructed. Thesesolutions describe

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2015. Vol. 92, nr 2, s. 268-271
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URN: urn:nbn:se:bth-10713DOI: 10.1134/S1064562415050099ISI: 000364522300024OAI: oai:DiVA.org:bth-10713DiVA, id: diva2:855437
Tilgjengelig fra: 2015-09-21 Laget: 2015-09-21 Sist oppdatert: 2017-12-04bibliografisk kontrollert

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