Chaotic Behavior in Shell Models and Shell Maps View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1998-11

AUTHORS

Julien Kockelkoren, Fridolin Okkels, Mogens H. Jensen

ABSTRACT

We study the chaotic behavior of the GOY shell model by measuring the variation of the maximal Lyapunov exponent with the parameter ε which determines the nature of the second invariant (the generalized “helicity” invariant). After a Hopf bifurcation, we observe a critical point at εc∼0.38704 above which the maximal Lyapunov exponent grows nearly linearly. For high values of ε the evolution becomes regular again, which can be explained by a simple analytic argument. A model with few shells shows two transitions. To simplify the model substantially we introduce a shell map which exhibits similar properties as the GOY model. More... »

PAGES

833-842

Identifiers

URI

http://scigraph.springernature.com/pub.10.1023/b:joss.0000033165.51531.8c

DOI

http://dx.doi.org/10.1023/b:joss.0000033165.51531.8c

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1008348048


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

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/2008/1701", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Psychology", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/17", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Psychology and Cognitive Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "name": [
            "Niels Bohr Institute and Center for Chaos and Turbulence Studies, DK-2100, Copenhagen \u00d8, Denmark;"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Kockelkoren", 
        "givenName": "Julien", 
        "id": "sg:person.07723577551.92", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07723577551.92"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "name": [
            "Niels Bohr Institute and Center for Chaos and Turbulence Studies, DK-2100, Copenhagen \u00d8, Denmark;"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Okkels", 
        "givenName": "Fridolin", 
        "id": "sg:person.0677624561.16", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0677624561.16"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "name": [
            "Niels Bohr Institute and Center for Chaos and Turbulence Studies, DK-2100, Copenhagen \u00d8, Denmark;"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Jensen", 
        "givenName": "Mogens H.", 
        "id": "sg:person.01152213267.83", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01152213267.83"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1016/0167-2789(93)90012-p", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1010698321"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0167-2789(93)90012-p", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1010698321"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0167-2789(96)00174-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1013305376"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0167-2789(95)00186-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1019411616"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0167-2789(95)90065-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1030613330"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0167-2789(95)90065-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1030613330"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.868775", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1043768834"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1017/s0022112084000513", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1053847990"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.43.798", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060483603"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.43.798", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060483603"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1143/jpsj.56.4210", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1063110072"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "1998-11", 
    "datePublishedReg": "1998-11-01", 
    "description": "We study the chaotic behavior of the GOY shell model by measuring the variation of the maximal Lyapunov exponent with the parameter \u03b5 which determines the nature of the second invariant (the generalized \u201chelicity\u201d invariant). After a Hopf bifurcation, we observe a critical point at \u03b5c\u223c0.38704 above which the maximal Lyapunov exponent grows nearly linearly. For high values of \u03b5 the evolution becomes regular again, which can be explained by a simple analytic argument. A model with few shells shows two transitions. To simplify the model substantially we introduce a shell map which exhibits similar properties as the GOY model.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1023/b:joss.0000033165.51531.8c", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1040979", 
        "issn": [
          "0022-4715", 
          "1572-9613"
        ], 
        "name": "Journal of Statistical Physics", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "3-4", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "93"
      }
    ], 
    "name": "Chaotic Behavior in Shell Models and Shell Maps", 
    "pagination": "833-842", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "27c53d139e6b505fd5d44342548be83394130e02e72ef5904dad21c8fdbc8cf0"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1023/b:joss.0000033165.51531.8c"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1008348048"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1023/b:joss.0000033165.51531.8c", 
      "https://app.dimensions.ai/details/publication/pub.1008348048"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-10T21:35", 
    "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/v90/0000000001_0000000264/records_8687_00000503.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1023%2FB%3AJOSS.0000033165.51531.8c"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

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.10.1023/b:joss.0000033165.51531.8c'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1023/b:joss.0000033165.51531.8c'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1023/b:joss.0000033165.51531.8c'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1023/b:joss.0000033165.51531.8c'


 

This table displays all metadata directly associated to this object as RDF triples.

102 TRIPLES      21 PREDICATES      35 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1023/b:joss.0000033165.51531.8c schema:about anzsrc-for:17
2 anzsrc-for:1701
3 schema:author N8786e3db4f724941af8c430e6e96d6c8
4 schema:citation https://doi.org/10.1016/0167-2789(93)90012-p
5 https://doi.org/10.1016/0167-2789(95)00186-8
6 https://doi.org/10.1016/0167-2789(95)90065-9
7 https://doi.org/10.1016/s0167-2789(96)00174-1
8 https://doi.org/10.1017/s0022112084000513
9 https://doi.org/10.1063/1.868775
10 https://doi.org/10.1103/physreva.43.798
11 https://doi.org/10.1143/jpsj.56.4210
12 schema:datePublished 1998-11
13 schema:datePublishedReg 1998-11-01
14 schema:description We study the chaotic behavior of the GOY shell model by measuring the variation of the maximal Lyapunov exponent with the parameter ε which determines the nature of the second invariant (the generalized “helicity” invariant). After a Hopf bifurcation, we observe a critical point at εc∼0.38704 above which the maximal Lyapunov exponent grows nearly linearly. For high values of ε the evolution becomes regular again, which can be explained by a simple analytic argument. A model with few shells shows two transitions. To simplify the model substantially we introduce a shell map which exhibits similar properties as the GOY model.
15 schema:genre research_article
16 schema:inLanguage en
17 schema:isAccessibleForFree false
18 schema:isPartOf N744c165d301f41a9a7ba5f6572ef0932
19 N8657e6b79e5e4502983633cbd6a7e16a
20 sg:journal.1040979
21 schema:name Chaotic Behavior in Shell Models and Shell Maps
22 schema:pagination 833-842
23 schema:productId N1930ae341d4d454ab1d0005b3aa7c958
24 N62611fb91ee946dcb399a6c9e2c67438
25 Nd3d83ca67bc44c8cb7f523f3356467aa
26 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008348048
27 https://doi.org/10.1023/b:joss.0000033165.51531.8c
28 schema:sdDatePublished 2019-04-10T21:35
29 schema:sdLicense https://scigraph.springernature.com/explorer/license/
30 schema:sdPublisher N7950395185664513a15d0b359fae05d2
31 schema:url http://link.springer.com/10.1023%2FB%3AJOSS.0000033165.51531.8c
32 sgo:license sg:explorer/license/
33 sgo:sdDataset articles
34 rdf:type schema:ScholarlyArticle
35 N1930ae341d4d454ab1d0005b3aa7c958 schema:name dimensions_id
36 schema:value pub.1008348048
37 rdf:type schema:PropertyValue
38 N62611fb91ee946dcb399a6c9e2c67438 schema:name readcube_id
39 schema:value 27c53d139e6b505fd5d44342548be83394130e02e72ef5904dad21c8fdbc8cf0
40 rdf:type schema:PropertyValue
41 N6b272addcc16471d84bff690c2255304 rdf:first sg:person.01152213267.83
42 rdf:rest rdf:nil
43 N744c165d301f41a9a7ba5f6572ef0932 schema:volumeNumber 93
44 rdf:type schema:PublicationVolume
45 N7950395185664513a15d0b359fae05d2 schema:name Springer Nature - SN SciGraph project
46 rdf:type schema:Organization
47 N8657e6b79e5e4502983633cbd6a7e16a schema:issueNumber 3-4
48 rdf:type schema:PublicationIssue
49 N8786e3db4f724941af8c430e6e96d6c8 rdf:first sg:person.07723577551.92
50 rdf:rest Neee89dded2264b5db4b5809ee74acda0
51 N8da404fa542044898be34014e770fc3a schema:name Niels Bohr Institute and Center for Chaos and Turbulence Studies, DK-2100, Copenhagen Ø, Denmark;
52 rdf:type schema:Organization
53 N90de812db7dd42fbafc33132f34cbf30 schema:name Niels Bohr Institute and Center for Chaos and Turbulence Studies, DK-2100, Copenhagen Ø, Denmark;
54 rdf:type schema:Organization
55 N91d8c7bdeff04c6a8a0fc392b9914c66 schema:name Niels Bohr Institute and Center for Chaos and Turbulence Studies, DK-2100, Copenhagen Ø, Denmark;
56 rdf:type schema:Organization
57 Nd3d83ca67bc44c8cb7f523f3356467aa schema:name doi
58 schema:value 10.1023/b:joss.0000033165.51531.8c
59 rdf:type schema:PropertyValue
60 Neee89dded2264b5db4b5809ee74acda0 rdf:first sg:person.0677624561.16
61 rdf:rest N6b272addcc16471d84bff690c2255304
62 anzsrc-for:17 schema:inDefinedTermSet anzsrc-for:
63 schema:name Psychology and Cognitive Sciences
64 rdf:type schema:DefinedTerm
65 anzsrc-for:1701 schema:inDefinedTermSet anzsrc-for:
66 schema:name Psychology
67 rdf:type schema:DefinedTerm
68 sg:journal.1040979 schema:issn 0022-4715
69 1572-9613
70 schema:name Journal of Statistical Physics
71 rdf:type schema:Periodical
72 sg:person.01152213267.83 schema:affiliation N8da404fa542044898be34014e770fc3a
73 schema:familyName Jensen
74 schema:givenName Mogens H.
75 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01152213267.83
76 rdf:type schema:Person
77 sg:person.0677624561.16 schema:affiliation N91d8c7bdeff04c6a8a0fc392b9914c66
78 schema:familyName Okkels
79 schema:givenName Fridolin
80 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0677624561.16
81 rdf:type schema:Person
82 sg:person.07723577551.92 schema:affiliation N90de812db7dd42fbafc33132f34cbf30
83 schema:familyName Kockelkoren
84 schema:givenName Julien
85 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07723577551.92
86 rdf:type schema:Person
87 https://doi.org/10.1016/0167-2789(93)90012-p schema:sameAs https://app.dimensions.ai/details/publication/pub.1010698321
88 rdf:type schema:CreativeWork
89 https://doi.org/10.1016/0167-2789(95)00186-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019411616
90 rdf:type schema:CreativeWork
91 https://doi.org/10.1016/0167-2789(95)90065-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030613330
92 rdf:type schema:CreativeWork
93 https://doi.org/10.1016/s0167-2789(96)00174-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013305376
94 rdf:type schema:CreativeWork
95 https://doi.org/10.1017/s0022112084000513 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053847990
96 rdf:type schema:CreativeWork
97 https://doi.org/10.1063/1.868775 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043768834
98 rdf:type schema:CreativeWork
99 https://doi.org/10.1103/physreva.43.798 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060483603
100 rdf:type schema:CreativeWork
101 https://doi.org/10.1143/jpsj.56.4210 schema:sameAs https://app.dimensions.ai/details/publication/pub.1063110072
102 rdf:type schema:CreativeWork
 




Preview window. Press ESC to close (or click here)


...