Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems
It is well known that under generic Cr smooth perturbations, the phenomenon of global instability, known as Arnold diffusion, exists in a priori unstable Hamiltonian systems. In this paper, by using variational methods, we will prove that under generic Gevrey smooth perturbations, Arnold diffusion s...
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| Veröffentlicht in: | Nonlinearity 2021-01, Vol.34 (1), p.455-508 |
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| container_title | Nonlinearity |
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| creator | Chen, Qinbo Cheng, Chong-Qing |
| description | It is well known that under generic Cr smooth perturbations, the phenomenon of global instability, known as Arnold diffusion, exists in a priori unstable Hamiltonian systems. In this paper, by using variational methods, we will prove that under generic Gevrey smooth perturbations, Arnold diffusion still exists in the a priori unstable Hamiltonian systems of two and a half degrees of freedom. |
| doi_str_mv | 10.1088/1361-6544/abb44f |
| format | Article |
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In this paper, by using variational methods, we will prove that under generic Gevrey smooth perturbations, Arnold diffusion still exists in the a priori unstable Hamiltonian systems of two and a half degrees of freedom.</description><subject>Arnold diffusion</subject><subject>genericity</subject><subject>Gevrey functions</subject><subject>unstable</subject><issn>0951-7715</issn><issn>1361-6544</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp1UMFKAzEUDKJgrd495gNcm-xussmxFG2Fohc9h2zyIim7SUm2wv69W1Z68_SGx8wwMwg9UvJMiRArWnFacFbXK922de2u0OLyukYLIhktmoayW3SX84EQSkVZLdD7Fn4SjPgbAiRv_DDi6PA6hdhZbL1zp-xjwD5gjY_Jx-TxKeRBtx3gne59N8TgdcB5zAP0-R7dON1lePi7S_T1-vK52RX7j-3bZr0vTCnIUIDlxpSSiZK6UhsnJaeiMmAqy6U03FraMGiNbBnXQCRvQNS2rCSrnBQTWCIy-5oUc07g1BSu12lUlKjzHupcXp3Lq3mPSfI0S3w8qkM8pTAF_J_-CyS-YyQ</recordid><startdate>20210101</startdate><enddate>20210101</enddate><creator>Chen, Qinbo</creator><creator>Cheng, Chong-Qing</creator><general>IOP Publishing</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-2283-4220</orcidid></search><sort><creationdate>20210101</creationdate><title>Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems</title><author>Chen, Qinbo ; Cheng, Chong-Qing</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c280t-ed6cc295821f2acf996183cec3d699c6dd175ebc9b56ae0967e84d23953f98d23</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Arnold diffusion</topic><topic>genericity</topic><topic>Gevrey functions</topic><topic>unstable</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chen, Qinbo</creatorcontrib><creatorcontrib>Cheng, Chong-Qing</creatorcontrib><collection>CrossRef</collection><jtitle>Nonlinearity</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chen, Qinbo</au><au>Cheng, Chong-Qing</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems</atitle><jtitle>Nonlinearity</jtitle><stitle>Non</stitle><addtitle>Nonlinearity</addtitle><date>2021-01-01</date><risdate>2021</risdate><volume>34</volume><issue>1</issue><spage>455</spage><epage>508</epage><pages>455-508</pages><issn>0951-7715</issn><eissn>1361-6544</eissn><coden>NONLE5</coden><abstract>It is well known that under generic Cr smooth perturbations, the phenomenon of global instability, known as Arnold diffusion, exists in a priori unstable Hamiltonian systems. In this paper, by using variational methods, we will prove that under generic Gevrey smooth perturbations, Arnold diffusion still exists in the a priori unstable Hamiltonian systems of two and a half degrees of freedom.</abstract><pub>IOP Publishing</pub><doi>10.1088/1361-6544/abb44f</doi><tpages>54</tpages><orcidid>https://orcid.org/0000-0002-2283-4220</orcidid></addata></record> |
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| ispartof | Nonlinearity, 2021-01, Vol.34 (1), p.455-508 |
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| language | eng |
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| source | Institute of Physics Journals |
| subjects | Arnold diffusion genericity Gevrey functions unstable |
| title | Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems |
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