The noisy Pais–Uhlenbeck oscillator
In this paper, we include simultaneously additive and multiplicative noise to the Pais–Uhlenbeck oscillator (PUO). We construct an integral of motion of the PUO with a time-dependent coefficient. Viewing the PUO as two coupled harmonic oscillators, we add noise to the corresponding frequencies. The...
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| Veröffentlicht in: | Journal of mathematical chemistry 2019-05, Vol.57 (5), p.1314-1329 |
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| container_issue | 5 |
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| container_title | Journal of mathematical chemistry |
| container_volume | 57 |
| creator | Urenda-Cázares, E. Espinoza, P. B. Gallegos, A. Jaimes-Reátegui, R. Macías-Díaz, J. E. Vargas-Rodríguez, H. |
| description | In this paper, we include simultaneously additive and multiplicative noise to the Pais–Uhlenbeck oscillator (PUO). We construct an integral of motion of the PUO with a time-dependent coefficient. Viewing the PUO as two coupled harmonic oscillators, we add noise to the corresponding frequencies. The systems are solved with the fourth-order stochastic Runge–Kutta method. Some graphics of the solutions and integrals of motion are presented, and the average deviations are calculated in order to quantify the noise influence. |
| doi_str_mv | 10.1007/s10910-018-0966-6 |
| format | Article |
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Some graphics of the solutions and integrals of motion are presented, and the average deviations are calculated in order to quantify the noise influence.</description><subject>Chemistry</subject><subject>Chemistry and Materials Science</subject><subject>Harmonic oscillators</subject><subject>Integrals</subject><subject>Math. Applications in Chemistry</subject><subject>Mathematical analysis</subject><subject>Noise</subject><subject>Original Paper</subject><subject>Physical Chemistry</subject><subject>Runge-Kutta method</subject><subject>Theoretical and Computational Chemistry</subject><subject>Time dependence</subject><issn>0259-9791</issn><issn>1572-8897</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp1kL1OwzAURi0EEqXwAGyVEKPhXjvxz4gqKEiVYGhny7l1aEpIip0O3XgH3pAnIVWQmJjucs53pcPYJcINAujbhGAROKDhYJXi6oiNMNeCG2P1MRuByC232uIpO0tpAwDWKDNi14t1mDRtlfaTF1-l78-v5boOTRHobdImqurad208Zyelr1O4-L1jtny4X0wf-fx59jS9m3OSqDqOmsh7TdqrTBDiCrQMRTDotcS8NIUMVmibFQIyvQpkjTWCSpKEtJIB5JhdDbvb2H7sQurcpt3Fpn_phBBZBjkq0VM4UBTblGIo3TZW7z7uHYI71HBDDdfXcIcaTvWOGJzUs81riH_L_0s__SphqA</recordid><startdate>20190515</startdate><enddate>20190515</enddate><creator>Urenda-Cázares, E.</creator><creator>Espinoza, P. 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Applications in Chemistry</topic><topic>Mathematical analysis</topic><topic>Noise</topic><topic>Original Paper</topic><topic>Physical Chemistry</topic><topic>Runge-Kutta method</topic><topic>Theoretical and Computational Chemistry</topic><topic>Time dependence</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Urenda-Cázares, E.</creatorcontrib><creatorcontrib>Espinoza, P. B.</creatorcontrib><creatorcontrib>Gallegos, A.</creatorcontrib><creatorcontrib>Jaimes-Reátegui, R.</creatorcontrib><creatorcontrib>Macías-Díaz, J. E.</creatorcontrib><creatorcontrib>Vargas-Rodríguez, H.</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of mathematical chemistry</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Urenda-Cázares, E.</au><au>Espinoza, P. B.</au><au>Gallegos, A.</au><au>Jaimes-Reátegui, R.</au><au>Macías-Díaz, J. 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| language | eng |
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| subjects | Chemistry Chemistry and Materials Science Harmonic oscillators Integrals Math. Applications in Chemistry Mathematical analysis Noise Original Paper Physical Chemistry Runge-Kutta method Theoretical and Computational Chemistry Time dependence |
| title | The noisy Pais–Uhlenbeck oscillator |
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