Formal integrals for an autonomous Hamiltonian system near an equilibrium point View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1978-04

AUTHORS

Antonio Giorgilli, Luigi Galgani

ABSTRACT

In this paper we give a new method to construct formal integrals for an autonomous Hamiltonian system near an equilibrium point. Our construction is reminiscent of the algorithms introduced by Hori and Deprit; we show however how it presents itself quite naturally if one follows the line of attack of Whittaker, Cherry, and Contopoulos. More... »

PAGES

267-280

References to SciGraph publications

  • 1969-03. Canonical transformations depending on a small parameter in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1975-08. Numerical computations on the constants of motion of a Hamiltonian system in LETTERE AL NUOVO CIMENTO (1971-1985)
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01232832

    DOI

    http://dx.doi.org/10.1007/bf01232832

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1028824895


    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/2008/0801", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Artificial Intelligence and Image Processing", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/08", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Information and Computing Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "name": [
                "Istituto di Fisica and Istituto di Matematica dell'Universit\u00e0, Milano, Italy"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Giorgilli", 
            "givenName": "Antonio", 
            "id": "sg:person.010532704656.30", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010532704656.30"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "name": [
                "Istituto di Fisica and Istituto di Matematica dell'Universit\u00e0, Milano, Italy"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Galgani", 
            "givenName": "Luigi", 
            "id": "sg:person.010346707747.76", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010346707747.76"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/bf01230629", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1028918192", 
              "https://doi.org/10.1007/bf01230629"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01230629", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1028918192", 
              "https://doi.org/10.1007/bf01230629"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/s037016460002352x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040262708"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02745913", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051815866", 
              "https://doi.org/10.1007/bf02745913"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/s0305004100003224", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053952207"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/s0305004100014249", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053952843"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1086/109214", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1058447859"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "1978-04", 
        "datePublishedReg": "1978-04-01", 
        "description": "In this paper we give a new method to construct formal integrals for an autonomous Hamiltonian system near an equilibrium point. Our construction is reminiscent of the algorithms introduced by Hori and Deprit; we show however how it presents itself quite naturally if one follows the line of attack of Whittaker, Cherry, and Contopoulos.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/bf01232832", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1136436", 
            "issn": [
              "0008-8714", 
              "0923-2958"
            ], 
            "name": "Celestial Mechanics and Dynamical Astronomy", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "3", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "17"
          }
        ], 
        "name": "Formal integrals for an autonomous Hamiltonian system near an equilibrium point", 
        "pagination": "267-280", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "8950d720c772527797ccf1378c72ab5701f5ec91be0866a57408553663de32a6"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/bf01232832"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1028824895"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/bf01232832", 
          "https://app.dimensions.ai/details/publication/pub.1028824895"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T13:31", 
        "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/v90/0000000370_0000000370/records_46757_00000001.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1007/BF01232832"
      }
    ]
     

    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.10.1007/bf01232832'

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

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/bf01232832'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf01232832'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf01232832'


     

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

    89 TRIPLES      21 PREDICATES      33 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/bf01232832 schema:about anzsrc-for:08
    2 anzsrc-for:0801
    3 schema:author N9e289f976f764f6d95dc4df45ffd4c49
    4 schema:citation sg:pub.10.1007/bf01230629
    5 sg:pub.10.1007/bf02745913
    6 https://doi.org/10.1017/s0305004100003224
    7 https://doi.org/10.1017/s0305004100014249
    8 https://doi.org/10.1017/s037016460002352x
    9 https://doi.org/10.1086/109214
    10 schema:datePublished 1978-04
    11 schema:datePublishedReg 1978-04-01
    12 schema:description In this paper we give a new method to construct formal integrals for an autonomous Hamiltonian system near an equilibrium point. Our construction is reminiscent of the algorithms introduced by Hori and Deprit; we show however how it presents itself quite naturally if one follows the line of attack of Whittaker, Cherry, and Contopoulos.
    13 schema:genre research_article
    14 schema:inLanguage en
    15 schema:isAccessibleForFree false
    16 schema:isPartOf N31af5d0a4afd42ff994587fa62d60bf3
    17 N873d990efa544c86852cc890e103f36c
    18 sg:journal.1136436
    19 schema:name Formal integrals for an autonomous Hamiltonian system near an equilibrium point
    20 schema:pagination 267-280
    21 schema:productId N29d63bb817f14213b4cf2380d3a7746e
    22 Ncccdf59b420e4301bd481b0227f5ad0a
    23 Nfdb3091456734e8eacf8ae3e52106d41
    24 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028824895
    25 https://doi.org/10.1007/bf01232832
    26 schema:sdDatePublished 2019-04-11T13:31
    27 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    28 schema:sdPublisher N68718ab9b5ad4fca8d1db3790547ccfc
    29 schema:url http://link.springer.com/10.1007/BF01232832
    30 sgo:license sg:explorer/license/
    31 sgo:sdDataset articles
    32 rdf:type schema:ScholarlyArticle
    33 N29d63bb817f14213b4cf2380d3a7746e schema:name readcube_id
    34 schema:value 8950d720c772527797ccf1378c72ab5701f5ec91be0866a57408553663de32a6
    35 rdf:type schema:PropertyValue
    36 N31af5d0a4afd42ff994587fa62d60bf3 schema:volumeNumber 17
    37 rdf:type schema:PublicationVolume
    38 N4998c921ae044cddab825b19782281d6 schema:name Istituto di Fisica and Istituto di Matematica dell'Università, Milano, Italy
    39 rdf:type schema:Organization
    40 N68718ab9b5ad4fca8d1db3790547ccfc schema:name Springer Nature - SN SciGraph project
    41 rdf:type schema:Organization
    42 N775e2639829c423db216754c67eea6cb schema:name Istituto di Fisica and Istituto di Matematica dell'Università, Milano, Italy
    43 rdf:type schema:Organization
    44 N873d990efa544c86852cc890e103f36c schema:issueNumber 3
    45 rdf:type schema:PublicationIssue
    46 N9e289f976f764f6d95dc4df45ffd4c49 rdf:first sg:person.010532704656.30
    47 rdf:rest Nc832d51c0555463d80d54b55edd05d56
    48 Nc832d51c0555463d80d54b55edd05d56 rdf:first sg:person.010346707747.76
    49 rdf:rest rdf:nil
    50 Ncccdf59b420e4301bd481b0227f5ad0a schema:name doi
    51 schema:value 10.1007/bf01232832
    52 rdf:type schema:PropertyValue
    53 Nfdb3091456734e8eacf8ae3e52106d41 schema:name dimensions_id
    54 schema:value pub.1028824895
    55 rdf:type schema:PropertyValue
    56 anzsrc-for:08 schema:inDefinedTermSet anzsrc-for:
    57 schema:name Information and Computing Sciences
    58 rdf:type schema:DefinedTerm
    59 anzsrc-for:0801 schema:inDefinedTermSet anzsrc-for:
    60 schema:name Artificial Intelligence and Image Processing
    61 rdf:type schema:DefinedTerm
    62 sg:journal.1136436 schema:issn 0008-8714
    63 0923-2958
    64 schema:name Celestial Mechanics and Dynamical Astronomy
    65 rdf:type schema:Periodical
    66 sg:person.010346707747.76 schema:affiliation N775e2639829c423db216754c67eea6cb
    67 schema:familyName Galgani
    68 schema:givenName Luigi
    69 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010346707747.76
    70 rdf:type schema:Person
    71 sg:person.010532704656.30 schema:affiliation N4998c921ae044cddab825b19782281d6
    72 schema:familyName Giorgilli
    73 schema:givenName Antonio
    74 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010532704656.30
    75 rdf:type schema:Person
    76 sg:pub.10.1007/bf01230629 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028918192
    77 https://doi.org/10.1007/bf01230629
    78 rdf:type schema:CreativeWork
    79 sg:pub.10.1007/bf02745913 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051815866
    80 https://doi.org/10.1007/bf02745913
    81 rdf:type schema:CreativeWork
    82 https://doi.org/10.1017/s0305004100003224 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053952207
    83 rdf:type schema:CreativeWork
    84 https://doi.org/10.1017/s0305004100014249 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053952843
    85 rdf:type schema:CreativeWork
    86 https://doi.org/10.1017/s037016460002352x schema:sameAs https://app.dimensions.ai/details/publication/pub.1040262708
    87 rdf:type schema:CreativeWork
    88 https://doi.org/10.1086/109214 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058447859
    89 rdf:type schema:CreativeWork
     




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


    ...