A non-autonomous system leading to cyclic chaotic sets to model physiological rhythms
It is proposed a nonlinear system to model highly complex states of rhythms, whose patterns of activity seem irregular. A non-autonomous system which takes into account both exogenous and endogenous influences. The dynamic behaviors of its stroboscopic map are investigated, by using triangular syste...
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| Veröffentlicht in: | Applied mathematics and computation 2016-04, Vol.281, p.343-355 |
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| container_title | Applied mathematics and computation |
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| creator | Hadaeghi, Fatemeh Hashemi Golpayegani, Seyed Mohammad Reza Gardini, Laura |
| description | It is proposed a nonlinear system to model highly complex states of rhythms, whose patterns of activity seem irregular. A non-autonomous system which takes into account both exogenous and endogenous influences. The dynamic behaviors of its stroboscopic map are investigated, by using triangular systems. The model provides a theoretical framework for addressing cyclic transitions between chaotic sets. The analysis underlines the role of the parameters in the structure and shape of the attractors, so to be in agreement with experimental data. |
| doi_str_mv | 10.1016/j.amc.2016.01.052 |
| format | Article |
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The analysis underlines the role of the parameters in the structure and shape of the attractors, so to be in agreement with experimental data.</description><subject>Aperiodic rhythms</subject><subject>Chaos theory</subject><subject>Computation</subject><subject>Dynamic tests</subject><subject>Dynamical systems</subject><subject>Mathematical models</subject><subject>Non-autonomous system</subject><subject>Nonlinear dynamics</subject><subject>Rhythm</subject><subject>Stroboscopic map</subject><subject>Triangular systems</subject><issn>0096-3003</issn><issn>1873-5649</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp9kE9LAzEQxYMoWKsfwFuOXnadbHazWzwV8R8UvNhzSJPZNiW7qUkq7Lc3pZ5lDm8Y3m-YeYTcMygZMPG4L9Wgyyq3JbASmuqCzFjX8qIR9eKSzAAWouAA_JrcxLgHgFawekbWSzr6sVDH5Ec_-GOkcYoJB-pQGTtuafJUT9pZTfVO-ZQ1Yoqn8eANOnrYTdF657dWK0fDbkq7Id6Sq165iHd_Oifr15ev5_di9fn28bxcFZpzSAUTjejzGbVSmwY3PVNV3QklDK8rA6ar2h7QQI8cNi3k4guheNPrFhR0UPE5eTjvPQT_fcSY5GCjRufUiPkXybpsa6qaddnKzlYdfIwBe3kIdlBhkgzkKUK5lzlCeYpQApMZy8zTmcH8w4_FIKO2OGo0NqBO0nj7D_0LlYJ5kg</recordid><startdate>20160430</startdate><enddate>20160430</enddate><creator>Hadaeghi, Fatemeh</creator><creator>Hashemi Golpayegani, Seyed Mohammad Reza</creator><creator>Gardini, Laura</creator><general>Elsevier Inc</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20160430</creationdate><title>A non-autonomous system leading to cyclic chaotic sets to model physiological rhythms</title><author>Hadaeghi, Fatemeh ; Hashemi Golpayegani, Seyed Mohammad Reza ; Gardini, Laura</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c330t-1656f6144aab5ebf1a2486a6d342d0d827f0ed0fe30b70707396a35fc70a08023</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Aperiodic rhythms</topic><topic>Chaos theory</topic><topic>Computation</topic><topic>Dynamic tests</topic><topic>Dynamical systems</topic><topic>Mathematical models</topic><topic>Non-autonomous system</topic><topic>Nonlinear dynamics</topic><topic>Rhythm</topic><topic>Stroboscopic map</topic><topic>Triangular systems</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hadaeghi, Fatemeh</creatorcontrib><creatorcontrib>Hashemi Golpayegani, Seyed Mohammad Reza</creatorcontrib><creatorcontrib>Gardini, Laura</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Applied mathematics and computation</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hadaeghi, Fatemeh</au><au>Hashemi Golpayegani, Seyed Mohammad Reza</au><au>Gardini, Laura</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A non-autonomous system leading to cyclic chaotic sets to model physiological rhythms</atitle><jtitle>Applied mathematics and computation</jtitle><date>2016-04-30</date><risdate>2016</risdate><volume>281</volume><spage>343</spage><epage>355</epage><pages>343-355</pages><issn>0096-3003</issn><eissn>1873-5649</eissn><abstract>It is proposed a nonlinear system to model highly complex states of rhythms, whose patterns of activity seem irregular. 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| ispartof | Applied mathematics and computation, 2016-04, Vol.281, p.343-355 |
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| source | Elsevier ScienceDirect Journals Complete |
| subjects | Aperiodic rhythms Chaos theory Computation Dynamic tests Dynamical systems Mathematical models Non-autonomous system Nonlinear dynamics Rhythm Stroboscopic map Triangular systems |
| title | A non-autonomous system leading to cyclic chaotic sets to model physiological rhythms |
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