A new criterion of period-doubling bifurcation in maps and its application to an inertial impact shaker
A new critical criterion of period-doubling bifurcations is proposed for high dimensional maps. Without the dependence on eigenvalues as in the classical bifurcation criterion, this criterion is composed of a series of algebraic conditions under which period-doubling bifurcation occurs. The proposed...
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| Veröffentlicht in: | Journal of sound and vibration 2008-03, Vol.311 (1), p.212-223 |
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| container_title | Journal of sound and vibration |
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| creator | Wen, Guilin Chen, Shijian Jin, Qiutan |
| description | A new critical criterion of period-doubling bifurcations is proposed for high dimensional maps. Without the dependence on eigenvalues as in the classical bifurcation criterion, this criterion is composed of a series of algebraic conditions under which period-doubling bifurcation occurs. The proposed criterion is applied to the analysis of period-doubling bifurcation in a two-degree-of-freedom inertial shaker model. It can be seen in this example that the proposed criterion is preferable to the classical bifurcation criterion in high dimensional maps. |
| doi_str_mv | 10.1016/j.jsv.2007.09.003 |
| format | Article |
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Without the dependence on eigenvalues as in the classical bifurcation criterion, this criterion is composed of a series of algebraic conditions under which period-doubling bifurcation occurs. The proposed criterion is applied to the analysis of period-doubling bifurcation in a two-degree-of-freedom inertial shaker model. 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Without the dependence on eigenvalues as in the classical bifurcation criterion, this criterion is composed of a series of algebraic conditions under which period-doubling bifurcation occurs. The proposed criterion is applied to the analysis of period-doubling bifurcation in a two-degree-of-freedom inertial shaker model. It can be seen in this example that the proposed criterion is preferable to the classical bifurcation criterion in high dimensional maps.</description><subject>Algebra</subject><subject>Bifurcations</subject><subject>Criteria</subject><subject>Eigenvalues</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Inertial</subject><subject>Physics</subject><subject>Shakers</subject><subject>Solid mechanics</subject><subject>Structural and continuum mechanics</subject><subject>Vibration</subject><subject>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</subject><issn>0022-460X</issn><issn>1095-8568</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2008</creationdate><recordtype>article</recordtype><recordid>eNqF0U1LJDEQBuAgLjjO-gO85aJ46bby0UkaTyJ-gbCXXdhbyKQTzdjT3SYZl_33ppnBo54SUk9VQV6ETgnUBIi4XNfr9F5TAFlDWwOwA7Qg0DaVaoQ6RAsASisu4O8ROk5pDQAtZ3yBnq_x4P5hG0N2MYwDHj2e5ltXdeN21YfhGa-C30Zr8lwOA96YKWEzdDjkck5TH_a1PJbnIlzMwfQ4bCZjM04v5tXFn-iHN31yJ_tzif7c3f6-eaieft0_3lw_VZZTniuvWgbSiYbASihiOfDOyq7jQnqrJOPcS0EYbZj3nhlnTCsZtEJw3yrlgS3R-W7uFMe3rUtZb0Kyru_N4MZt0owoKhlrCrz4EhIpKCGccPU9BUUpMC5nSnbUxjGl6LyeYtiY-L8gPQel17oEpeegNLS6BFV6zvbjTbKm99EMNqTPxkIVLQuKu9o5V_7vPbiokw1usK4L0dmsuzF8seUDT0Onvg</recordid><startdate>20080318</startdate><enddate>20080318</enddate><creator>Wen, Guilin</creator><creator>Chen, Shijian</creator><creator>Jin, Qiutan</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope></search><sort><creationdate>20080318</creationdate><title>A new criterion of period-doubling bifurcation in maps and its application to an inertial impact shaker</title><author>Wen, Guilin ; Chen, Shijian ; Jin, Qiutan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c424t-f89307e6510b681c404dc7dd467fc87344f7613253fff3aeaa97309664f988f03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2008</creationdate><topic>Algebra</topic><topic>Bifurcations</topic><topic>Criteria</topic><topic>Eigenvalues</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Inertial</topic><topic>Physics</topic><topic>Shakers</topic><topic>Solid mechanics</topic><topic>Structural and continuum mechanics</topic><topic>Vibration</topic><topic>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wen, Guilin</creatorcontrib><creatorcontrib>Chen, Shijian</creatorcontrib><creatorcontrib>Jin, Qiutan</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>Journal of sound and vibration</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wen, Guilin</au><au>Chen, Shijian</au><au>Jin, Qiutan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A new criterion of period-doubling bifurcation in maps and its application to an inertial impact shaker</atitle><jtitle>Journal of sound and vibration</jtitle><date>2008-03-18</date><risdate>2008</risdate><volume>311</volume><issue>1</issue><spage>212</spage><epage>223</epage><pages>212-223</pages><issn>0022-460X</issn><eissn>1095-8568</eissn><coden>JSVIAG</coden><abstract>A new critical criterion of period-doubling bifurcations is proposed for high dimensional maps. Without the dependence on eigenvalues as in the classical bifurcation criterion, this criterion is composed of a series of algebraic conditions under which period-doubling bifurcation occurs. The proposed criterion is applied to the analysis of period-doubling bifurcation in a two-degree-of-freedom inertial shaker model. It can be seen in this example that the proposed criterion is preferable to the classical bifurcation criterion in high dimensional maps.</abstract><cop>London</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.jsv.2007.09.003</doi><tpages>12</tpages></addata></record> |
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| ispartof | Journal of sound and vibration, 2008-03, Vol.311 (1), p.212-223 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Algebra Bifurcations Criteria Eigenvalues Exact sciences and technology Fundamental areas of phenomenology (including applications) Inertial Physics Shakers Solid mechanics Structural and continuum mechanics Vibration Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) |
| title | A new criterion of period-doubling bifurcation in maps and its application to an inertial impact shaker |
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