Ontology type: schema:ScholarlyArticle
2018-03
AUTHORSStavros Anastassiou, Anastasios Bountis, Arnd Bäcker
ABSTRACTWe investigate different aspects of chaotic dynamics in Hénon maps of dimension higher than 2. First, we review recent results on the existence of homoclinic points in 2-d and 4-d such maps, by demonstrating how they can be located with great accuracy using the parametrization method. Then we turn our attention to perturbations of Hénon maps by an angle variable that are defined on the solid torus, and prove the existence of uniformly hyperbolic solenoid attractors for an open set of parameters.We thus argue that higher-dimensional Hénon maps exhibit a rich variety of chaotic behavior that deserves to be further studied in a systematic way. More... »
PAGES161-177
http://scigraph.springernature.com/pub.10.1134/s156035471802003x
DOIhttp://dx.doi.org/10.1134/s156035471802003x
DIMENSIONShttps://app.dimensions.ai/details/publication/pub.1103169935
JSON-LD is the canonical representation for SciGraph data.
TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT
[
{
"@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json",
"about": [
{
"id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Pure Mathematics",
"type": "DefinedTerm"
},
{
"id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Mathematical Sciences",
"type": "DefinedTerm"
}
],
"author": [
{
"affiliation": {
"alternateName": "University of Patras",
"id": "https://www.grid.ac/institutes/grid.11047.33",
"name": [
"Center of Research and Applications of Nonlinear Systems (CRANS), University of Patras, Department of Mathematics, 26500, Rion, GR, Greece"
],
"type": "Organization"
},
"familyName": "Anastassiou",
"givenName": "Stavros",
"id": "sg:person.015531147607.93",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015531147607.93"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "Nazarbayev University",
"id": "https://www.grid.ac/institutes/grid.428191.7",
"name": [
"Department of Mathematics, School of Science and Technology, Nazarbayev University, Kabanbay-batyr 53, 010000, Astana, Kazakhstan"
],
"type": "Organization"
},
"familyName": "Bountis",
"givenName": "Anastasios",
"id": "sg:person.015324624672.74",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015324624672.74"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "Max Planck Institute for the Physics of Complex Systems",
"id": "https://www.grid.ac/institutes/grid.419560.f",
"name": [
"Technische Universit\u00e4t Dresden, Institut f\u00fcr Theoretische Physik and Center for Dynamics, 01062, Dresden, Germany",
"Max-Planck-Institut f\u00fcr Physik komplexer Systeme, N\u00f6thnitzer Strasse 38, 01187, Dresden, Germany"
],
"type": "Organization"
},
"familyName": "B\u00e4cker",
"givenName": "Arnd",
"id": "sg:person.01130750013.14",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01130750013.14"
],
"type": "Person"
}
],
"citation": [
{
"id": "https://doi.org/10.1063/1.4766590",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1000672575"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s00332-012-9162-1",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1007956642",
"https://doi.org/10.1007/s00332-012-9162-1"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.physleta.2006.12.071",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1016410679"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1134/s1063776106020166",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1017811916",
"https://doi.org/10.1134/s1063776106020166"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1134/s1063776106020166",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1017811916",
"https://doi.org/10.1134/s1063776106020166"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/s0375-9601(00)00100-6",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1021656110"
],
"type": "CreativeWork"
},
{
"id": "https://app.dimensions.ai/details/publication/pub.1023772102",
"type": "CreativeWork"
},
{
"id": "https://app.dimensions.ai/details/publication/pub.1023772102",
"type": "CreativeWork"
},
{
"id": "https://app.dimensions.ai/details/publication/pub.1023772102",
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1134/s1560354714040042",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1025890093",
"https://doi.org/10.1134/s1560354714040042"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-3-642-23666-2",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1028957547",
"https://doi.org/10.1007/978-3-642-23666-2"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-3-642-23666-2",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1028957547",
"https://doi.org/10.1007/978-3-642-23666-2"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.chaos.2010.07.003",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1030803612"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/s0012-9593(00)87721-6",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1032178199"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/0375-9601(96)00399-4",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1034428217"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/s0167-2789(00)00105-6",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1040799567"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.indag.2014.10.002",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1041585947"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf02684369",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1042468222",
"https://doi.org/10.1007/bf02684369"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1017/s014338570000482x",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1046445676"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1017/s014338570000482x",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1046445676"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.jde.2004.12.003",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1051029170"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1088/0305-4470/33/45/305",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1059077135"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1088/0951-7715/15/5/313",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1059109115"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/04060487x",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062844883"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/090776329",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062856873"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/100795176",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062858899"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/12088224x",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062869607"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1142/s0218127414400033",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062957001"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.3934/dcdsb.2010.14.871",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1071736559"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/16m1060674",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1083781969"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1088/1361-6544/aa7e9b",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1091676355"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1017/cbo9780511809187",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1098668529"
],
"type": "CreativeWork"
}
],
"datePublished": "2018-03",
"datePublishedReg": "2018-03-01",
"description": "We investigate different aspects of chaotic dynamics in H\u00e9non maps of dimension higher than 2. First, we review recent results on the existence of homoclinic points in 2-d and 4-d such maps, by demonstrating how they can be located with great accuracy using the parametrization method. Then we turn our attention to perturbations of H\u00e9non maps by an angle variable that are defined on the solid torus, and prove the existence of uniformly hyperbolic solenoid attractors for an open set of parameters.We thus argue that higher-dimensional H\u00e9non maps exhibit a rich variety of chaotic behavior that deserves to be further studied in a systematic way.",
"genre": "research_article",
"id": "sg:pub.10.1134/s156035471802003x",
"inLanguage": [
"en"
],
"isAccessibleForFree": false,
"isPartOf": [
{
"id": "sg:journal.1136573",
"issn": [
"1468-4845",
"1560-3547"
],
"name": "Regular and Chaotic Dynamics",
"type": "Periodical"
},
{
"issueNumber": "2",
"type": "PublicationIssue"
},
{
"type": "PublicationVolume",
"volumeNumber": "23"
}
],
"name": "Recent Results on the Dynamics of Higher-dimensional H\u00e9non Maps",
"pagination": "161-177",
"productId": [
{
"name": "readcube_id",
"type": "PropertyValue",
"value": [
"a9a991c8257e8bd8cdd285618037304da47409e72e528d80449f3833fa1b5afe"
]
},
{
"name": "doi",
"type": "PropertyValue",
"value": [
"10.1134/s156035471802003x"
]
},
{
"name": "dimensions_id",
"type": "PropertyValue",
"value": [
"pub.1103169935"
]
}
],
"sameAs": [
"https://doi.org/10.1134/s156035471802003x",
"https://app.dimensions.ai/details/publication/pub.1103169935"
],
"sdDataset": "articles",
"sdDatePublished": "2019-04-11T13:51",
"sdLicense": "https://scigraph.springernature.com/explorer/license/",
"sdPublisher": {
"name": "Springer Nature - SN SciGraph project",
"type": "Organization"
},
"sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000371_0000000371/records_130797_00000005.jsonl",
"type": "ScholarlyArticle",
"url": "http://link.springer.com/10.1134/S156035471802003X"
}
]Download the RDF metadata as: json-ld nt turtle xml License info
JSON-LD is a popular format for linked data which is fully compatible with JSON.
curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1134/s156035471802003x'
N-Triples is a line-based linked data format ideal for batch operations.
curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1134/s156035471802003x'
Turtle is a human-readable linked data format.
curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1134/s156035471802003x'
RDF/XML is a standard XML format for linked data.
curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1134/s156035471802003x'
This table displays all metadata directly associated to this object as RDF triples.
167 TRIPLES
21 PREDICATES
54 URIs
19 LITERALS
7 BLANK NODES