Centers and Isochronous Centers of Liénard Systems

For holomorphic Liénard equations, necessary and sufficient conditions for the existence of a center and an isochronous center are obtained without calculating the focus quantities and the isochronicity constants.

Saved in:
Bibliographic Details
Published in:Differential equations 2019-03, Vol.55 (3), p.283-293
Main Authors: Amel’kin, V. V., Rudenok, A. E.
Format: Article
Language:English
Subjects:
Difference and Functional Equations
Mathematics
Mathematics and Statistics
Ordinary Differential Equation
Ordinary Differential Equations
Partial Differential Equations
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c327t-6078394b6bd3e51b8f097055e562f9c4a4f79f5e48ada80b01133a590e01c45d3
cites cdi_FETCH-LOGICAL-c327t-6078394b6bd3e51b8f097055e562f9c4a4f79f5e48ada80b01133a590e01c45d3
container_end_page 293
container_issue 3
container_start_page 283
container_title Differential equations
container_volume 55
creator Amel’kin, V. V.
Rudenok, A. E.
description For holomorphic Liénard equations, necessary and sufficient conditions for the existence of a center and an isochronous center are obtained without calculating the focus quantities and the isochronicity constants.
doi_str_mv 10.1134/S0012266119030017
format article
fullrecord <record><control><sourceid>gale_cross</sourceid><recordid>TN_cdi_gale_infotracacademiconefile_A720270706</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A720270706</galeid><sourcerecordid>A720270706</sourcerecordid><originalsourceid>FETCH-LOGICAL-c327t-6078394b6bd3e51b8f097055e562f9c4a4f79f5e48ada80b01133a590e01c45d3</originalsourceid><addsrcrecordid>eNp9kM9OwzAMxiMEEmXwANz6Ah1O0iTtcZr4M6kSh8G5SlNndFoTlHSHPRLPwYuRaeOEhHywZftn6_sIuacwp5SXD2sAypiUlNbAU60uSEYlVAWHil-S7DgujvNrchPjFgBqRUVG-BLdhCHm2vX5KnrzEbzz-5j_9r3Nm-H7y-nQ5-tDnHCMt-TK6l3Eu3Oekfenx7flS9G8Pq-Wi6YwnKmpkKAqXped7HqOgnaVTT9BCBSS2dqUurSqtgLLSve6gg6SEK5FDQjUlKLnMzI_3d3oHbaDs34K2qTocRyMd2iH1F8oBkyBApkAegJM8DEGtO1nGEYdDi2F9mhT-8emxLATE9Ou22Bot34fXNL1D_QD1b5oBQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Centers and Isochronous Centers of Liénard Systems</title><source>Springer Link</source><creator>Amel’kin, V. V. ; Rudenok, A. E.</creator><creatorcontrib>Amel’kin, V. V. ; Rudenok, A. E.</creatorcontrib><description>For holomorphic Liénard equations, necessary and sufficient conditions for the existence of a center and an isochronous center are obtained without calculating the focus quantities and the isochronicity constants.</description><identifier>ISSN: 0012-2661</identifier><identifier>EISSN: 1608-3083</identifier><identifier>DOI: 10.1134/S0012266119030017</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Difference and Functional Equations ; Mathematics ; Mathematics and Statistics ; Ordinary Differential Equation ; Ordinary Differential Equations ; Partial Differential Equations</subject><ispartof>Differential equations, 2019-03, Vol.55 (3), p.283-293</ispartof><rights>Pleiades Publishing, Ltd. 2019</rights><rights>COPYRIGHT 2019 Springer</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c327t-6078394b6bd3e51b8f097055e562f9c4a4f79f5e48ada80b01133a590e01c45d3</citedby><cites>FETCH-LOGICAL-c327t-6078394b6bd3e51b8f097055e562f9c4a4f79f5e48ada80b01133a590e01c45d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Amel’kin, V. V.</creatorcontrib><creatorcontrib>Rudenok, A. E.</creatorcontrib><title>Centers and Isochronous Centers of Liénard Systems</title><title>Differential equations</title><addtitle>Diff Equat</addtitle><description>For holomorphic Liénard equations, necessary and sufficient conditions for the existence of a center and an isochronous center are obtained without calculating the focus quantities and the isochronicity constants.</description><subject>Difference and Functional Equations</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Ordinary Differential Equation</subject><subject>Ordinary Differential Equations</subject><subject>Partial Differential Equations</subject><issn>0012-2661</issn><issn>1608-3083</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp9kM9OwzAMxiMEEmXwANz6Ah1O0iTtcZr4M6kSh8G5SlNndFoTlHSHPRLPwYuRaeOEhHywZftn6_sIuacwp5SXD2sAypiUlNbAU60uSEYlVAWHil-S7DgujvNrchPjFgBqRUVG-BLdhCHm2vX5KnrzEbzz-5j_9r3Nm-H7y-nQ5-tDnHCMt-TK6l3Eu3Oekfenx7flS9G8Pq-Wi6YwnKmpkKAqXped7HqOgnaVTT9BCBSS2dqUurSqtgLLSve6gg6SEK5FDQjUlKLnMzI_3d3oHbaDs34K2qTocRyMd2iH1F8oBkyBApkAegJM8DEGtO1nGEYdDi2F9mhT-8emxLATE9Ou22Bot34fXNL1D_QD1b5oBQ</recordid><startdate>20190301</startdate><enddate>20190301</enddate><creator>Amel’kin, V. V.</creator><creator>Rudenok, A. E.</creator><general>Pleiades Publishing</general><general>Springer</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20190301</creationdate><title>Centers and Isochronous Centers of Liénard Systems</title><author>Amel’kin, V. V. ; Rudenok, A. E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c327t-6078394b6bd3e51b8f097055e562f9c4a4f79f5e48ada80b01133a590e01c45d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Difference and Functional Equations</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Ordinary Differential Equation</topic><topic>Ordinary Differential Equations</topic><topic>Partial Differential Equations</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Amel’kin, V. V.</creatorcontrib><creatorcontrib>Rudenok, A. E.</creatorcontrib><collection>CrossRef</collection><jtitle>Differential equations</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Amel’kin, V. V.</au><au>Rudenok, A. E.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Centers and Isochronous Centers of Liénard Systems</atitle><jtitle>Differential equations</jtitle><stitle>Diff Equat</stitle><date>2019-03-01</date><risdate>2019</risdate><volume>55</volume><issue>3</issue><spage>283</spage><epage>293</epage><pages>283-293</pages><issn>0012-2661</issn><eissn>1608-3083</eissn><abstract>For holomorphic Liénard equations, necessary and sufficient conditions for the existence of a center and an isochronous center are obtained without calculating the focus quantities and the isochronicity constants.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S0012266119030017</doi><tpages>11</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0012-2661
ispartof Differential equations, 2019-03, Vol.55 (3), p.283-293
issn 0012-2661
1608-3083
language eng
recordid cdi_gale_infotracacademiconefile_A720270706
source Springer Link
subjects Difference and Functional Equations
Mathematics
Mathematics and Statistics
Ordinary Differential Equation
Ordinary Differential Equations
Partial Differential Equations
title Centers and Isochronous Centers of Liénard Systems
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-08T02%3A21%3A03IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Centers%20and%20Isochronous%20Centers%20of%20Li%C3%A9nard%20Systems&rft.jtitle=Differential%20equations&rft.au=Amel%E2%80%99kin,%20V.%20V.&rft.date=2019-03-01&rft.volume=55&rft.issue=3&rft.spage=283&rft.epage=293&rft.pages=283-293&rft.issn=0012-2661&rft.eissn=1608-3083&rft_id=info:doi/10.1134/S0012266119030017&rft_dat=%3Cgale_cross%3EA720270706%3C/gale_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c327t-6078394b6bd3e51b8f097055e562f9c4a4f79f5e48ada80b01133a590e01c45d3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rft_galeid=A720270706&rfr_iscdi=true