Exponential stability for time dependent potentials View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

1992-09

AUTHORS

Antonio Giorgilli, Eduard Zehnder

ABSTRACT

For a classical Hamiltonian system on a torus defined by a time dependent, bounded and analytic potential we establish global and quantitative bounds for the solutions over an exponentially long interval of time by using techniques which go back to Nekhoroshev.

PAGES

827-855

References to SciGraph publications

Journal

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf00913410

DOI

http://dx.doi.org/10.1007/bf00913410

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1042108409


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", 
    "author": [
      {
        "affiliation": {
          "alternateName": "University of Milan", 
          "id": "https://www.grid.ac/institutes/grid.4708.b", 
          "name": [
            "Universit\u00e0 di 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": [
            "Eidgen\u00f6ssische Technische Hochschule, ETH Z\u00fcrich"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Zehnder", 
        "givenName": "Eduard", 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/bf01232832", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1028824895", 
          "https://doi.org/10.1007/bf01232832"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01232832", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1028824895", 
          "https://doi.org/10.1007/bf01232832"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01230338", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1031307341", 
          "https://doi.org/10.1007/bf01230338"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01230338", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1031307341", 
          "https://doi.org/10.1007/bf01230338"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02585466", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1034602990", 
          "https://doi.org/10.1007/bf02585466"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02585466", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1034602990", 
          "https://doi.org/10.1007/bf02585466"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01011301", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1043338720", 
          "https://doi.org/10.1007/bf01011301"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01011301", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1043338720", 
          "https://doi.org/10.1007/bf01011301"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01218157", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1051921197", 
          "https://doi.org/10.1007/bf01218157"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01218157", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1051921197", 
          "https://doi.org/10.1007/bf01218157"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1070/rm1977v032n06abeh003859", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058194264"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "1992-09", 
    "datePublishedReg": "1992-09-01", 
    "description": "For a classical Hamiltonian system on a torus defined by a time dependent, bounded and analytic potential we establish global and quantitative bounds for the solutions over an exponentially long interval of time by using techniques which go back to Nekhoroshev.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/bf00913410", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1053636", 
        "issn": [
          "0044-2275", 
          "1420-9039"
        ], 
        "name": "Zeitschrift f\u00fcr angewandte Mathematik und Physik", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "5", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "43"
      }
    ], 
    "name": "Exponential stability for time dependent potentials", 
    "pagination": "827-855", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "c89510e3fe0f78f7df5e313b7c6093edc7cd014c6a18fbc2a633651fba2b1858"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/bf00913410"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1042108409"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/bf00913410", 
      "https://app.dimensions.ai/details/publication/pub.1042108409"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T13:29", 
    "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_46747_00000002.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007%2FBF00913410"
  }
]
 

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/bf00913410'

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/bf00913410'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf00913410'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf00913410'


 

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

84 TRIPLES      20 PREDICATES      31 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/bf00913410 schema:author N1ab1426bf9ef4d5db66f9a2ce9aeebe9
2 schema:citation sg:pub.10.1007/bf01011301
3 sg:pub.10.1007/bf01218157
4 sg:pub.10.1007/bf01230338
5 sg:pub.10.1007/bf01232832
6 sg:pub.10.1007/bf02585466
7 https://doi.org/10.1070/rm1977v032n06abeh003859
8 schema:datePublished 1992-09
9 schema:datePublishedReg 1992-09-01
10 schema:description For a classical Hamiltonian system on a torus defined by a time dependent, bounded and analytic potential we establish global and quantitative bounds for the solutions over an exponentially long interval of time by using techniques which go back to Nekhoroshev.
11 schema:genre research_article
12 schema:inLanguage en
13 schema:isAccessibleForFree true
14 schema:isPartOf N0a61998f9fe64aa6be4943b82fae75fd
15 N16297018cd7a4ab5bdcf6b9a2d29661e
16 sg:journal.1053636
17 schema:name Exponential stability for time dependent potentials
18 schema:pagination 827-855
19 schema:productId N26b64ca134f54042b189ccbbc5b58e3c
20 N77b1faeec03a433e8b26de9f96725b8c
21 Na447ce1c12354842910fe0ad5ca97806
22 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042108409
23 https://doi.org/10.1007/bf00913410
24 schema:sdDatePublished 2019-04-11T13:29
25 schema:sdLicense https://scigraph.springernature.com/explorer/license/
26 schema:sdPublisher Ndad2c34c4d01448b86ec768ce961eef8
27 schema:url http://link.springer.com/10.1007%2FBF00913410
28 sgo:license sg:explorer/license/
29 sgo:sdDataset articles
30 rdf:type schema:ScholarlyArticle
31 N0a61998f9fe64aa6be4943b82fae75fd schema:issueNumber 5
32 rdf:type schema:PublicationIssue
33 N13531cf3755e45b5b015e2b26a134d89 schema:name Eidgenössische Technische Hochschule, ETH Zürich
34 rdf:type schema:Organization
35 N16297018cd7a4ab5bdcf6b9a2d29661e schema:volumeNumber 43
36 rdf:type schema:PublicationVolume
37 N1ab1426bf9ef4d5db66f9a2ce9aeebe9 rdf:first sg:person.010532704656.30
38 rdf:rest Nf424aa3fbecf41b18c0febdee5edcc06
39 N26b64ca134f54042b189ccbbc5b58e3c schema:name doi
40 schema:value 10.1007/bf00913410
41 rdf:type schema:PropertyValue
42 N77b1faeec03a433e8b26de9f96725b8c schema:name readcube_id
43 schema:value c89510e3fe0f78f7df5e313b7c6093edc7cd014c6a18fbc2a633651fba2b1858
44 rdf:type schema:PropertyValue
45 N98cf73f7ec594a93a45bc8003d2d705d schema:affiliation N13531cf3755e45b5b015e2b26a134d89
46 schema:familyName Zehnder
47 schema:givenName Eduard
48 rdf:type schema:Person
49 Na447ce1c12354842910fe0ad5ca97806 schema:name dimensions_id
50 schema:value pub.1042108409
51 rdf:type schema:PropertyValue
52 Ndad2c34c4d01448b86ec768ce961eef8 schema:name Springer Nature - SN SciGraph project
53 rdf:type schema:Organization
54 Nf424aa3fbecf41b18c0febdee5edcc06 rdf:first N98cf73f7ec594a93a45bc8003d2d705d
55 rdf:rest rdf:nil
56 sg:journal.1053636 schema:issn 0044-2275
57 1420-9039
58 schema:name Zeitschrift für angewandte Mathematik und Physik
59 rdf:type schema:Periodical
60 sg:person.010532704656.30 schema:affiliation https://www.grid.ac/institutes/grid.4708.b
61 schema:familyName Giorgilli
62 schema:givenName Antonio
63 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010532704656.30
64 rdf:type schema:Person
65 sg:pub.10.1007/bf01011301 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043338720
66 https://doi.org/10.1007/bf01011301
67 rdf:type schema:CreativeWork
68 sg:pub.10.1007/bf01218157 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051921197
69 https://doi.org/10.1007/bf01218157
70 rdf:type schema:CreativeWork
71 sg:pub.10.1007/bf01230338 schema:sameAs https://app.dimensions.ai/details/publication/pub.1031307341
72 https://doi.org/10.1007/bf01230338
73 rdf:type schema:CreativeWork
74 sg:pub.10.1007/bf01232832 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028824895
75 https://doi.org/10.1007/bf01232832
76 rdf:type schema:CreativeWork
77 sg:pub.10.1007/bf02585466 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034602990
78 https://doi.org/10.1007/bf02585466
79 rdf:type schema:CreativeWork
80 https://doi.org/10.1070/rm1977v032n06abeh003859 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058194264
81 rdf:type schema:CreativeWork
82 https://www.grid.ac/institutes/grid.4708.b schema:alternateName University of Milan
83 schema:name Università di Milano, Italy
84 rdf:type schema:Organization
 




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


...