Analysis of periodic perturbations of limit cycles
An algorithm due to Loud is used to find asymptotically convergent series solutions for limit cycles subjected to weak periodic perturbations. If an exact or approximate solution to the unperturbed limit cycle is available near or far from marginal stability, then accurate predictions can be made fo...
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| Veröffentlicht in: | J. Chem. Phys.; (United States) 1983-03, Vol.78 (6), p.3747-3755 |
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| container_title | J. Chem. Phys.; (United States) |
| container_volume | 78 |
| creator | Rehmus, Paul Ross, John |
| description | An algorithm due to Loud is used to find asymptotically convergent series solutions for limit cycles subjected to weak periodic perturbations. If an exact or approximate solution to the unperturbed limit cycle is available near or far from marginal stability, then accurate predictions can be made for entrainment bands and the phase relationships between the various oscillatory chemical species and the perturbation. The utility of this method is shown for several model systems. In an appendix, the appearance and character of critical slowing down at the edges of entrainment bands is demonstrated. |
| doi_str_mv | 10.1063/1.445150 |
| format | Article |
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If an exact or approximate solution to the unperturbed limit cycle is available near or far from marginal stability, then accurate predictions can be made for entrainment bands and the phase relationships between the various oscillatory chemical species and the perturbation. The utility of this method is shown for several model systems. In an appendix, the appearance and character of critical slowing down at the edges of entrainment bands is demonstrated.</description><identifier>ISSN: 0021-9606</identifier><identifier>EISSN: 1089-7690</identifier><identifier>DOI: 10.1063/1.445150</identifier><language>eng</language><publisher>United States</publisher><subject>400201 - Chemical & Physicochemical Properties ; CHEMICAL REACTION KINETICS ; INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY ; KINETICS ; OSCILLATIONS ; QUANTITY RATIO ; REACTION INTERMEDIATES ; REACTION KINETICS</subject><ispartof>J. Chem. 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Phys.; (United States)</title><description>An algorithm due to Loud is used to find asymptotically convergent series solutions for limit cycles subjected to weak periodic perturbations. If an exact or approximate solution to the unperturbed limit cycle is available near or far from marginal stability, then accurate predictions can be made for entrainment bands and the phase relationships between the various oscillatory chemical species and the perturbation. The utility of this method is shown for several model systems. In an appendix, the appearance and character of critical slowing down at the edges of entrainment bands is demonstrated.</description><subject>400201 - Chemical & Physicochemical Properties</subject><subject>CHEMICAL REACTION KINETICS</subject><subject>INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY</subject><subject>KINETICS</subject><subject>OSCILLATIONS</subject><subject>QUANTITY RATIO</subject><subject>REACTION INTERMEDIATES</subject><subject>REACTION KINETICS</subject><issn>0021-9606</issn><issn>1089-7690</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1983</creationdate><recordtype>article</recordtype><recordid>eNotUE1LxDAUDKJgXQV_QvHkpet7-Wp6XBZdhQUveg7pa4qRbrsk8dB_b9f1NAPzATOM3SOsEbR4wrWUChVcsALBNFWtG7hkBQDHqtGgr9lNSt8AgDWXBeOb0Q1zCqmc-vLoY5i6QCeSf2LrcpjGP2UIh5BLmmnw6ZZd9W5I_u4fV-zz5flj-1rt33dv282-Iq54roRvGy5rLZE6NFwKLUxXO9-04GpC7bwGxVvwggvdCkO4iAhLptfUmVqs2MO5d0o52EQhe_qiaRw9ZauUWebKxfR4NlGcUoq-t8cYDi7OFsGeDrFoz4eIX6-oUJw</recordid><startdate>19830315</startdate><enddate>19830315</enddate><creator>Rehmus, Paul</creator><creator>Ross, John</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>19830315</creationdate><title>Analysis of periodic perturbations of limit cycles</title><author>Rehmus, Paul ; Ross, John</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c252t-3eb9247641cd18243638d7ae9b0a7c16ae6052b0e3236b38c17ae10924f6cd873</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1983</creationdate><topic>400201 - Chemical & Physicochemical Properties</topic><topic>CHEMICAL REACTION KINETICS</topic><topic>INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY</topic><topic>KINETICS</topic><topic>OSCILLATIONS</topic><topic>QUANTITY RATIO</topic><topic>REACTION INTERMEDIATES</topic><topic>REACTION KINETICS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Rehmus, Paul</creatorcontrib><creatorcontrib>Ross, John</creatorcontrib><creatorcontrib>Department of Chemistry, Stanford University, Stanford, California 94305</creatorcontrib><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>J. Chem. Phys.; (United States)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Rehmus, Paul</au><au>Ross, John</au><aucorp>Department of Chemistry, Stanford University, Stanford, California 94305</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analysis of periodic perturbations of limit cycles</atitle><jtitle>J. Chem. Phys.; (United States)</jtitle><date>1983-03-15</date><risdate>1983</risdate><volume>78</volume><issue>6</issue><spage>3747</spage><epage>3755</epage><pages>3747-3755</pages><issn>0021-9606</issn><eissn>1089-7690</eissn><abstract>An algorithm due to Loud is used to find asymptotically convergent series solutions for limit cycles subjected to weak periodic perturbations. If an exact or approximate solution to the unperturbed limit cycle is available near or far from marginal stability, then accurate predictions can be made for entrainment bands and the phase relationships between the various oscillatory chemical species and the perturbation. The utility of this method is shown for several model systems. In an appendix, the appearance and character of critical slowing down at the edges of entrainment bands is demonstrated.</abstract><cop>United States</cop><doi>10.1063/1.445150</doi><tpages>9</tpages></addata></record> |
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| identifier | ISSN: 0021-9606 |
| ispartof | J. Chem. Phys.; (United States), 1983-03, Vol.78 (6), p.3747-3755 |
| issn | 0021-9606 1089-7690 |
| language | eng |
| recordid | cdi_crossref_primary_10_1063_1_445150 |
| source | AIP Digital Archive |
| subjects | 400201 - Chemical & Physicochemical Properties CHEMICAL REACTION KINETICS INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY KINETICS OSCILLATIONS QUANTITY RATIO REACTION INTERMEDIATES REACTION KINETICS |
| title | Analysis of periodic perturbations of limit cycles |
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