A NEW TREATMENT FOR PERIODIC SOLUTIONS AND COUPLED OSCILLATORS
We develop a systematic method for deriving the phase dynamics of perturbed periodic solutions. The method is to regard periodic solutions as slowly modulated traveling solutions on the circle. There, problems are reduced to the perturbed problems from stationary solutions on the circle. This makes...
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Veröffentlicht in: | Kyushu Journal of Mathematics 2011, Vol.65(2), pp.197-217 |
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creator | EI, Shin-Ichiro OHGANE, Kunishige |
description | We develop a systematic method for deriving the phase dynamics of perturbed periodic solutions. The method is to regard periodic solutions as slowly modulated traveling solutions on the circle. There, problems are reduced to the perturbed problems from stationary solutions on the circle. This makes the treatment of periodic solutions far easier and systematic. We also give the rigorous proofs for this method. |
doi_str_mv | 10.2206/kyushujm.65.197 |
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The method is to regard periodic solutions as slowly modulated traveling solutions on the circle. There, problems are reduced to the perturbed problems from stationary solutions on the circle. This makes the treatment of periodic solutions far easier and systematic. We also give the rigorous proofs for this method.</description><identifier>ISSN: 1340-6116</identifier><identifier>EISSN: 1883-2032</identifier><identifier>DOI: 10.2206/kyushujm.65.197</identifier><language>eng</language><publisher>Hukuoka: Faculty of Mathematics, Kyushu University</publisher><subject>coupled oscillators ; periodic solutions ; traveling solutions</subject><ispartof>Kyushu Journal of Mathematics, 2011, Vol.65(2), pp.197-217</ispartof><rights>2011 Faculty of Mathematics, Kyushu University</rights><rights>Copyright Japan Science and Technology Agency 2011</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c538t-b07b33a281beb8016fe9cfee4e5dd42ed11fec3a83360a7ffb2f5070f84e342f3</citedby><cites>FETCH-LOGICAL-c538t-b07b33a281beb8016fe9cfee4e5dd42ed11fec3a83360a7ffb2f5070f84e342f3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,1881,4021,27921,27922,27923</link.rule.ids></links><search><creatorcontrib>EI, Shin-Ichiro</creatorcontrib><creatorcontrib>OHGANE, Kunishige</creatorcontrib><title>A NEW TREATMENT FOR PERIODIC SOLUTIONS AND COUPLED OSCILLATORS</title><title>Kyushu Journal of Mathematics</title><addtitle>Kyushu J. Math.</addtitle><description>We develop a systematic method for deriving the phase dynamics of perturbed periodic solutions. The method is to regard periodic solutions as slowly modulated traveling solutions on the circle. There, problems are reduced to the perturbed problems from stationary solutions on the circle. This makes the treatment of periodic solutions far easier and systematic. 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source | J-STAGE (Japan Science & Technology Information Aggregator, Electronic) Freely Available Titles - Japanese; Open Access Titles of Japan; EZB-FREE-00999 freely available EZB journals |
subjects | coupled oscillators periodic solutions traveling solutions |
title | A NEW TREATMENT FOR PERIODIC SOLUTIONS AND COUPLED OSCILLATORS |
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