Intermingled basins in a two species system

We present simple examples of (competitive) two species systems with complicated dynamic behaviour. From almost all initial conditions one of the two species dies out. But the survivor is unpredictable: The basins of the two chaotic one-species attractors are everywhere dense and intermingled.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of mathematical biology 2004-09, Vol.49 (3), p.293-293
Hauptverfasser: Hofbauer, Franz, Hofbauer, Josef, Raith, Peter, Steinberger, Thomas
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 293
container_issue 3
container_start_page 293
container_title Journal of mathematical biology
container_volume 49
creator Hofbauer, Franz
Hofbauer, Josef
Raith, Peter
Steinberger, Thomas
description We present simple examples of (competitive) two species systems with complicated dynamic behaviour. From almost all initial conditions one of the two species dies out. But the survivor is unpredictable: The basins of the two chaotic one-species attractors are everywhere dense and intermingled.
doi_str_mv 10.1007/s00285-003-0253-3
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_66768051</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2084908671</sourcerecordid><originalsourceid>FETCH-LOGICAL-c357t-8e4f7fe090ce6d6062b79b3680fb0c8b9702eab967851a9be2732463df2344953</originalsourceid><addsrcrecordid>eNqFkE1Lw0AQhhdRbK3-AC8SPHiR6MxOdjd7lOJHoeBFz0s-JpKSj5pNEP-9W1oQvHiawzzvO8wjxCXCHQKYew8gUxUDUAxSUUxHYo4JyRgT1MdiDhQ2OkU5E2febwDQKIunYoZKWgJUc3G76kYe2rr7aLiM8szXnY_qLsqi8auP_JaLmn3kv_3I7bk4qbLG88VhLsT70-Pb8iVevz6vlg_ruCBlxjjlpDIVg4WCdalBy9zYnHQKVQ5FmlsDkrPcapMqzGzO0pBMNJWVpCSxihbiZt-7HfrPif3o2toX3DRZx_3kndYmlCn8F8Q0HNcIAbz-A276aejCE04jGUXS6gDhHiqG3vuBK7cd6jYbvh2C2_l2e98u-HY7345C5upQPOUtl7-Jg2D6AbdZeAw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>613753296</pqid></control><display><type>article</type><title>Intermingled basins in a two species system</title><source>MEDLINE</source><source>SpringerLink Journals - AutoHoldings</source><creator>Hofbauer, Franz ; Hofbauer, Josef ; Raith, Peter ; Steinberger, Thomas</creator><creatorcontrib>Hofbauer, Franz ; Hofbauer, Josef ; Raith, Peter ; Steinberger, Thomas</creatorcontrib><description>We present simple examples of (competitive) two species systems with complicated dynamic behaviour. From almost all initial conditions one of the two species dies out. But the survivor is unpredictable: The basins of the two chaotic one-species attractors are everywhere dense and intermingled.</description><identifier>ISSN: 0303-6812</identifier><identifier>EISSN: 1432-1416</identifier><identifier>DOI: 10.1007/s00285-003-0253-3</identifier><identifier>PMID: 15293015</identifier><language>eng</language><publisher>Germany: Springer Nature B.V</publisher><subject>Algorithms ; Animals ; Competitive Behavior ; Ecosystem ; Models, Biological ; Nonlinear Dynamics ; Population Dynamics ; Species Specificity</subject><ispartof>Journal of mathematical biology, 2004-09, Vol.49 (3), p.293-293</ispartof><rights>Springer-Verlag Berlin Heidelberg 2004</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c357t-8e4f7fe090ce6d6062b79b3680fb0c8b9702eab967851a9be2732463df2344953</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27903,27904</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/15293015$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Hofbauer, Franz</creatorcontrib><creatorcontrib>Hofbauer, Josef</creatorcontrib><creatorcontrib>Raith, Peter</creatorcontrib><creatorcontrib>Steinberger, Thomas</creatorcontrib><title>Intermingled basins in a two species system</title><title>Journal of mathematical biology</title><addtitle>J Math Biol</addtitle><description>We present simple examples of (competitive) two species systems with complicated dynamic behaviour. From almost all initial conditions one of the two species dies out. But the survivor is unpredictable: The basins of the two chaotic one-species attractors are everywhere dense and intermingled.</description><subject>Algorithms</subject><subject>Animals</subject><subject>Competitive Behavior</subject><subject>Ecosystem</subject><subject>Models, Biological</subject><subject>Nonlinear Dynamics</subject><subject>Population Dynamics</subject><subject>Species Specificity</subject><issn>0303-6812</issn><issn>1432-1416</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2004</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNqFkE1Lw0AQhhdRbK3-AC8SPHiR6MxOdjd7lOJHoeBFz0s-JpKSj5pNEP-9W1oQvHiawzzvO8wjxCXCHQKYew8gUxUDUAxSUUxHYo4JyRgT1MdiDhQ2OkU5E2febwDQKIunYoZKWgJUc3G76kYe2rr7aLiM8szXnY_qLsqi8auP_JaLmn3kv_3I7bk4qbLG88VhLsT70-Pb8iVevz6vlg_ruCBlxjjlpDIVg4WCdalBy9zYnHQKVQ5FmlsDkrPcapMqzGzO0pBMNJWVpCSxihbiZt-7HfrPif3o2toX3DRZx_3kndYmlCn8F8Q0HNcIAbz-A276aejCE04jGUXS6gDhHiqG3vuBK7cd6jYbvh2C2_l2e98u-HY7345C5upQPOUtl7-Jg2D6AbdZeAw</recordid><startdate>20040901</startdate><enddate>20040901</enddate><creator>Hofbauer, Franz</creator><creator>Hofbauer, Josef</creator><creator>Raith, Peter</creator><creator>Steinberger, Thomas</creator><general>Springer Nature B.V</general><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7TK</scope><scope>7TM</scope><scope>7U9</scope><scope>7X7</scope><scope>7XB</scope><scope>88A</scope><scope>88E</scope><scope>8AO</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FH</scope><scope>8FI</scope><scope>8FJ</scope><scope>8FK</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BBNVY</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>FYUFA</scope><scope>GHDGH</scope><scope>GNUQQ</scope><scope>H94</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>K9.</scope><scope>L6V</scope><scope>LK8</scope><scope>M0S</scope><scope>M1P</scope><scope>M7N</scope><scope>M7P</scope><scope>M7S</scope><scope>M7Z</scope><scope>P5Z</scope><scope>P62</scope><scope>P64</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>7SN</scope><scope>C1K</scope><scope>7X8</scope></search><sort><creationdate>20040901</creationdate><title>Intermingled basins in a two species system</title><author>Hofbauer, Franz ; Hofbauer, Josef ; Raith, Peter ; Steinberger, Thomas</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c357t-8e4f7fe090ce6d6062b79b3680fb0c8b9702eab967851a9be2732463df2344953</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2004</creationdate><topic>Algorithms</topic><topic>Animals</topic><topic>Competitive Behavior</topic><topic>Ecosystem</topic><topic>Models, Biological</topic><topic>Nonlinear Dynamics</topic><topic>Population Dynamics</topic><topic>Species Specificity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hofbauer, Franz</creatorcontrib><creatorcontrib>Hofbauer, Josef</creatorcontrib><creatorcontrib>Raith, Peter</creatorcontrib><creatorcontrib>Steinberger, Thomas</creatorcontrib><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Neurosciences Abstracts</collection><collection>Nucleic Acids Abstracts</collection><collection>Virology and AIDS Abstracts</collection><collection>Health &amp; Medical Collection</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Biology Database (Alumni Edition)</collection><collection>Medical Database (Alumni Edition)</collection><collection>ProQuest Pharma Collection</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Natural Science Collection</collection><collection>Hospital Premium Collection</collection><collection>Hospital Premium Collection (Alumni Edition)</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies &amp; Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>Biological Science Collection</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>Natural Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>Health Research Premium Collection</collection><collection>Health Research Premium Collection (Alumni)</collection><collection>ProQuest Central Student</collection><collection>AIDS and Cancer Research Abstracts</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>ProQuest Health &amp; Medical Complete (Alumni)</collection><collection>ProQuest Engineering Collection</collection><collection>ProQuest Biological Science Collection</collection><collection>Health &amp; Medical Collection (Alumni Edition)</collection><collection>Medical Database</collection><collection>Algology Mycology and Protozoology Abstracts (Microbiology C)</collection><collection>Biological Science Database</collection><collection>Engineering Database</collection><collection>Biochemistry Abstracts 1</collection><collection>Advanced Technologies &amp; Aerospace Database</collection><collection>ProQuest Advanced Technologies &amp; Aerospace Collection</collection><collection>Biotechnology and BioEngineering Abstracts</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>Ecology Abstracts</collection><collection>Environmental Sciences and Pollution Management</collection><collection>MEDLINE - Academic</collection><jtitle>Journal of mathematical biology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hofbauer, Franz</au><au>Hofbauer, Josef</au><au>Raith, Peter</au><au>Steinberger, Thomas</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Intermingled basins in a two species system</atitle><jtitle>Journal of mathematical biology</jtitle><addtitle>J Math Biol</addtitle><date>2004-09-01</date><risdate>2004</risdate><volume>49</volume><issue>3</issue><spage>293</spage><epage>293</epage><pages>293-293</pages><issn>0303-6812</issn><eissn>1432-1416</eissn><abstract>We present simple examples of (competitive) two species systems with complicated dynamic behaviour. From almost all initial conditions one of the two species dies out. But the survivor is unpredictable: The basins of the two chaotic one-species attractors are everywhere dense and intermingled.</abstract><cop>Germany</cop><pub>Springer Nature B.V</pub><pmid>15293015</pmid><doi>10.1007/s00285-003-0253-3</doi><tpages>1</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0303-6812
ispartof Journal of mathematical biology, 2004-09, Vol.49 (3), p.293-293
issn 0303-6812
1432-1416
language eng
recordid cdi_proquest_miscellaneous_66768051
source MEDLINE; SpringerLink Journals - AutoHoldings
subjects Algorithms
Animals
Competitive Behavior
Ecosystem
Models, Biological
Nonlinear Dynamics
Population Dynamics
Species Specificity
title Intermingled basins in a two species system
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-25T16%3A23%3A07IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Intermingled%20basins%20in%20a%20two%20species%20system&rft.jtitle=Journal%20of%20mathematical%20biology&rft.au=Hofbauer,%20Franz&rft.date=2004-09-01&rft.volume=49&rft.issue=3&rft.spage=293&rft.epage=293&rft.pages=293-293&rft.issn=0303-6812&rft.eissn=1432-1416&rft_id=info:doi/10.1007/s00285-003-0253-3&rft_dat=%3Cproquest_cross%3E2084908671%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=613753296&rft_id=info:pmid/15293015&rfr_iscdi=true