Phase-Locking and Suppression States Observed in Forced Synchronization of Thermoacoustic Oscillator
This report describes an experimental method to find a boundary between a phase-locking state and a suppression state in the Arnold tongue of 1:1 forced synchronization. A thermoacoustic oscillator in a gas-filled resonance tube is used as a test system. It generates longitudinal acoustic oscillatio...
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Veröffentlicht in: | Journal of the Physical Society of Japan 2018-03, Vol.87 (3), p.34402 |
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description | This report describes an experimental method to find a boundary between a phase-locking state and a suppression state in the Arnold tongue of 1:1 forced synchronization. A thermoacoustic oscillator in a gas-filled resonance tube is used as a test system. It generates longitudinal acoustic oscillations by imposing an axial temperature difference on the tube. While pressure oscillations synchronous to the external periodic force are observed commonly in these regions, distinctive behaviors are found in the transient phase portraits after the synchronized state is temporarily perturbed. Based on the experimentally obtained results, a saddle-node bifurcation line was discovered in the Arnold tongue of the forced thermoacoustic oscillator. The resulting bifurcation diagram is compared with that of the theoretical model of the thermoacoustic oscillator. |
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A thermoacoustic oscillator in a gas-filled resonance tube is used as a test system. It generates longitudinal acoustic oscillations by imposing an axial temperature difference on the tube. While pressure oscillations synchronous to the external periodic force are observed commonly in these regions, distinctive behaviors are found in the transient phase portraits after the synchronized state is temporarily perturbed. Based on the experimentally obtained results, a saddle-node bifurcation line was discovered in the Arnold tongue of the forced thermoacoustic oscillator. The resulting bifurcation diagram is compared with that of the theoretical model of the thermoacoustic oscillator.</description><identifier>ISSN: 0031-9015</identifier><identifier>EISSN: 1347-4073</identifier><identifier>DOI: 10.7566/JPSJ.87.034402</identifier><language>eng</language><publisher>Tokyo: The Physical Society of Japan</publisher><subject>Acoustic resonance ; Acoustics ; Bifurcation theory ; External pressure ; Oscillations ; Oscillators ; Pressure oscillations ; Synchronism ; Temperature ; Temperature gradients ; Thermoacoustics</subject><ispartof>Journal of the Physical Society of Japan, 2018-03, Vol.87 (3), p.34402</ispartof><rights>Copyright The Physical Society of Japan Mar 15, 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c360t-b320813041226273292c82893037f68c0c352024d5499515af17445da66344df3</citedby><cites>FETCH-LOGICAL-c360t-b320813041226273292c82893037f68c0c352024d5499515af17445da66344df3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Hyodo, Hiroaki</creatorcontrib><creatorcontrib>Biwa, Tetsushi</creatorcontrib><title>Phase-Locking and Suppression States Observed in Forced Synchronization of Thermoacoustic Oscillator</title><title>Journal of the Physical Society of Japan</title><description>This report describes an experimental method to find a boundary between a phase-locking state and a suppression state in the Arnold tongue of 1:1 forced synchronization. A thermoacoustic oscillator in a gas-filled resonance tube is used as a test system. It generates longitudinal acoustic oscillations by imposing an axial temperature difference on the tube. While pressure oscillations synchronous to the external periodic force are observed commonly in these regions, distinctive behaviors are found in the transient phase portraits after the synchronized state is temporarily perturbed. Based on the experimentally obtained results, a saddle-node bifurcation line was discovered in the Arnold tongue of the forced thermoacoustic oscillator. The resulting bifurcation diagram is compared with that of the theoretical model of the thermoacoustic oscillator.</description><subject>Acoustic resonance</subject><subject>Acoustics</subject><subject>Bifurcation theory</subject><subject>External pressure</subject><subject>Oscillations</subject><subject>Oscillators</subject><subject>Pressure oscillations</subject><subject>Synchronism</subject><subject>Temperature</subject><subject>Temperature gradients</subject><subject>Thermoacoustics</subject><issn>0031-9015</issn><issn>1347-4073</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNotkEtPwzAQhC0EEqVw5WyJc8Laa8fJEVW8qkqtlHK2XMehKW0c7ASp_HpSlcvMHEaz2o-Qewapkln2OF-V8zRXKaAQwC_IhKFQiQCFl2QCgCwpgMlrchPjDoBLxsWEVKutiS5ZePvVtJ_UtBUth64LLsbGt7TsTe8iXW6iCz-uok1LX3ywYyqPrd0G3za_pj81fU3XWxcO3lg_xL6xdBlts9-b3odbclWbfXR3_z4lHy_P69lbsli-vs-eFonFDPpkgxxyhiAY5xlXyAtuc54XCKjqLLdgUXLgopKiKCSTpmZKCFmZLBtfrmqckofzbhf89-Bir3d-CO14UnPGVIGYjzIl6bllg48xuFp3oTmYcNQM9ImkPpHUudJnkvgH1vVlZA</recordid><startdate>20180315</startdate><enddate>20180315</enddate><creator>Hyodo, Hiroaki</creator><creator>Biwa, Tetsushi</creator><general>The Physical Society of Japan</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20180315</creationdate><title>Phase-Locking and Suppression States Observed in Forced Synchronization of Thermoacoustic Oscillator</title><author>Hyodo, Hiroaki ; Biwa, Tetsushi</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c360t-b320813041226273292c82893037f68c0c352024d5499515af17445da66344df3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Acoustic resonance</topic><topic>Acoustics</topic><topic>Bifurcation theory</topic><topic>External pressure</topic><topic>Oscillations</topic><topic>Oscillators</topic><topic>Pressure oscillations</topic><topic>Synchronism</topic><topic>Temperature</topic><topic>Temperature gradients</topic><topic>Thermoacoustics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hyodo, Hiroaki</creatorcontrib><creatorcontrib>Biwa, Tetsushi</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of the Physical Society of Japan</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hyodo, Hiroaki</au><au>Biwa, Tetsushi</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Phase-Locking and Suppression States Observed in Forced Synchronization of Thermoacoustic Oscillator</atitle><jtitle>Journal of the Physical Society of Japan</jtitle><date>2018-03-15</date><risdate>2018</risdate><volume>87</volume><issue>3</issue><spage>34402</spage><pages>34402-</pages><issn>0031-9015</issn><eissn>1347-4073</eissn><abstract>This report describes an experimental method to find a boundary between a phase-locking state and a suppression state in the Arnold tongue of 1:1 forced synchronization. A thermoacoustic oscillator in a gas-filled resonance tube is used as a test system. It generates longitudinal acoustic oscillations by imposing an axial temperature difference on the tube. While pressure oscillations synchronous to the external periodic force are observed commonly in these regions, distinctive behaviors are found in the transient phase portraits after the synchronized state is temporarily perturbed. Based on the experimentally obtained results, a saddle-node bifurcation line was discovered in the Arnold tongue of the forced thermoacoustic oscillator. The resulting bifurcation diagram is compared with that of the theoretical model of the thermoacoustic oscillator.</abstract><cop>Tokyo</cop><pub>The Physical Society of Japan</pub><doi>10.7566/JPSJ.87.034402</doi></addata></record> |
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subjects | Acoustic resonance Acoustics Bifurcation theory External pressure Oscillations Oscillators Pressure oscillations Synchronism Temperature Temperature gradients Thermoacoustics |
title | Phase-Locking and Suppression States Observed in Forced Synchronization of Thermoacoustic Oscillator |
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