Chaos–hyperchaos transition in three identical quorum-sensing mean-field coupled ring oscillators
We investigate the dynamics of three identical three-dimensional ring synthetic genetic oscillators (repressilators) located in different cells and indirectly globally coupled by quorum sensing whereby it is meant that a mechanism in which special signal molecules are produced that, after the fast d...
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Veröffentlicht in: | Chaos (Woodbury, N.Y.) N.Y.), 2021-10, Vol.31 (10), p.103112-103112 |
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description | We investigate the dynamics of three identical three-dimensional ring synthetic genetic oscillators (repressilators) located in different cells and indirectly globally coupled by quorum sensing whereby it is meant that a mechanism in which special signal molecules are produced that, after the fast diffusion mixing and partial dilution in the environment, activate the expression of a target gene, which is different from the gene responsible for their production. Even at low coupling strengths, quorum sensing stimulates the formation of a stable limit cycle, known in the literature as a rotating wave (all variables have identical waveforms shifted by one third of the period), which, at higher coupling strengths, converts to complex tori. Further torus evolution is traced up to its destruction to chaos and the appearance of hyperchaos. We hypothesize that hyperchaos is the result of merging the saddle-focus periodic orbit (or limit cycle) corresponding to the rotating wave regime with chaos and present considerations in favor of this conclusion. |
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Even at low coupling strengths, quorum sensing stimulates the formation of a stable limit cycle, known in the literature as a rotating wave (all variables have identical waveforms shifted by one third of the period), which, at higher coupling strengths, converts to complex tori. Further torus evolution is traced up to its destruction to chaos and the appearance of hyperchaos. 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Even at low coupling strengths, quorum sensing stimulates the formation of a stable limit cycle, known in the literature as a rotating wave (all variables have identical waveforms shifted by one third of the period), which, at higher coupling strengths, converts to complex tori. Further torus evolution is traced up to its destruction to chaos and the appearance of hyperchaos. We hypothesize that hyperchaos is the result of merging the saddle-focus periodic orbit (or limit cycle) corresponding to the rotating wave regime with chaos and present considerations in favor of this conclusion.</description><subject>Coupling</subject><subject>Coupling (molecular)</subject><subject>Diffusion rate</subject><subject>Dilution</subject><subject>Gene expression</subject><subject>Orbits</subject><subject>Oscillators</subject><subject>Rotation</subject><subject>Toruses</subject><subject>Waveforms</subject><issn>1054-1500</issn><issn>1089-7682</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp90MtKxDAUBuAgCo6jC98g4EaFau5tlzJ4gwE3ug6ZNHUytEknaYXZ-Q6-oU9iygwKCq5y4ePwnx-AU4yuMBL0ml8hxEWJ8j0wwagos1wUZH-8c5ZhjtAhOIpxhRDChPIJ0LOl8vHz_WO56UzQ4wP2Qbloe-sdtA72y2AMtJVxvdWqgevBh6HNoknGvcLWKJfV1jQV1H7oGlPBMP77qG3TqN6HeAwOatVEc7I7p-Dl7vZ59pDNn-4fZzfzTFOB-qzAdEE1VUTRnGmh-CJlLoQoBdOKsbwmrMQLWqlKlzQn2FSKG4KVYYwRkVM6BefbuV3w68HEXrY2apNSOOOHKAkvMUkdUJbo2S-68kNwKV1SRSoOYZondbFVOvgYg6llF2yrwkZiJMe6JZe7upO93Nq0d6_G8r7xmw8_UHZV_R_-O_kL3LWPEg</recordid><startdate>202110</startdate><enddate>202110</enddate><creator>Stankevich, N.</creator><creator>Volkov, E.</creator><general>American Institute of Physics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>7X8</scope><orcidid>https://orcid.org/0000-0002-4781-0567</orcidid><orcidid>https://orcid.org/0000-0002-7689-9206</orcidid></search><sort><creationdate>202110</creationdate><title>Chaos–hyperchaos transition in three identical quorum-sensing mean-field coupled ring oscillators</title><author>Stankevich, N. ; Volkov, E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c360t-813b3c3a2a374c6a5b054866964ca447f2491b3dadc93721eda5e21ae44426733</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Coupling</topic><topic>Coupling (molecular)</topic><topic>Diffusion rate</topic><topic>Dilution</topic><topic>Gene expression</topic><topic>Orbits</topic><topic>Oscillators</topic><topic>Rotation</topic><topic>Toruses</topic><topic>Waveforms</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Stankevich, N.</creatorcontrib><creatorcontrib>Volkov, E.</creatorcontrib><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>MEDLINE - Academic</collection><jtitle>Chaos (Woodbury, N.Y.)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Stankevich, N.</au><au>Volkov, E.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Chaos–hyperchaos transition in three identical quorum-sensing mean-field coupled ring oscillators</atitle><jtitle>Chaos (Woodbury, N.Y.)</jtitle><date>2021-10</date><risdate>2021</risdate><volume>31</volume><issue>10</issue><spage>103112</spage><epage>103112</epage><pages>103112-103112</pages><issn>1054-1500</issn><eissn>1089-7682</eissn><coden>CHAOEH</coden><abstract>We investigate the dynamics of three identical three-dimensional ring synthetic genetic oscillators (repressilators) located in different cells and indirectly globally coupled by quorum sensing whereby it is meant that a mechanism in which special signal molecules are produced that, after the fast diffusion mixing and partial dilution in the environment, activate the expression of a target gene, which is different from the gene responsible for their production. Even at low coupling strengths, quorum sensing stimulates the formation of a stable limit cycle, known in the literature as a rotating wave (all variables have identical waveforms shifted by one third of the period), which, at higher coupling strengths, converts to complex tori. Further torus evolution is traced up to its destruction to chaos and the appearance of hyperchaos. We hypothesize that hyperchaos is the result of merging the saddle-focus periodic orbit (or limit cycle) corresponding to the rotating wave regime with chaos and present considerations in favor of this conclusion.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/5.0056907</doi><tpages>12</tpages><orcidid>https://orcid.org/0000-0002-4781-0567</orcidid><orcidid>https://orcid.org/0000-0002-7689-9206</orcidid></addata></record> |
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subjects | Coupling Coupling (molecular) Diffusion rate Dilution Gene expression Orbits Oscillators Rotation Toruses Waveforms |
title | Chaos–hyperchaos transition in three identical quorum-sensing mean-field coupled ring oscillators |
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