Ontology type: schema:ScholarlyArticle Open Access: True
1995-03
AUTHORSAlessandro Morbidelli, Antonio Giorgilli
ABSTRACTWe study the dynamics in the neighborhood of an invariant torus of a nearly integrable system. We provide an upper bound to the diffusion speed, which turns out to be of superexponentially small size exp[-exp(1/σ)], σ being the distance from the invariant torus. We also discuss the connection of this result with the existence of many invariant tori close to the considered one. More... »
PAGES1607-1617
http://scigraph.springernature.com/pub.10.1007/bf02180145
DOIhttp://dx.doi.org/10.1007/bf02180145
DIMENSIONShttps://app.dimensions.ai/details/publication/pub.1004400049
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": "French National Centre for Scientific Research",
"id": "https://www.grid.ac/institutes/grid.4444.0",
"name": [
"Observatoire de la C\u00f4te d'Azur, CNRS, 06304, Nice Cedex 4, France"
],
"type": "Organization"
},
"familyName": "Morbidelli",
"givenName": "Alessandro",
"id": "sg:person.0742130574.53",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0742130574.53"
],
"type": "Person"
},
{
"affiliation": {
"name": [
"Dipartimento di Matematica dell'Universit\u00e0 di Milano and Gruppo Nazionale di Fisica Matematica del CNR, 20133, Milan, 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"
}
],
"citation": [
{
"id": "sg:pub.10.1007/bf03025718",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1001281283",
"https://doi.org/10.1007/bf03025718"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf03025718",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1001281283",
"https://doi.org/10.1007/bf03025718"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf00692425",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1004205105",
"https://doi.org/10.1007/bf00692425"
],
"type": "CreativeWork"
},
{
"id": "https://app.dimensions.ai/details/publication/pub.1005432200",
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-1-4757-4257-2",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1005432200",
"https://doi.org/10.1007/978-1-4757-4257-2"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-1-4757-4257-2",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1005432200",
"https://doi.org/10.1007/978-1-4757-4257-2"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01230921",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1020743826",
"https://doi.org/10.1007/bf01230921"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01230921",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1020743826",
"https://doi.org/10.1007/bf01230921"
],
"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": "https://doi.org/10.1016/0167-2789(94)90184-8",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1032724779"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/0167-2789(94)90184-8",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1032724779"
],
"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/bf02748972",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1049886350",
"https://doi.org/10.1007/bf02748972"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1070/rm1963v018n05abeh004130",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1058193720"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1070/rm1977v032n06abeh003859",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1058194264"
],
"type": "CreativeWork"
}
],
"datePublished": "1995-03",
"datePublishedReg": "1995-03-01",
"description": "We study the dynamics in the neighborhood of an invariant torus of a nearly integrable system. We provide an upper bound to the diffusion speed, which turns out to be of superexponentially small size exp[-exp(1/\u03c3)], \u03c3 being the distance from the invariant torus. We also discuss the connection of this result with the existence of many invariant tori close to the considered one.",
"genre": "research_article",
"id": "sg:pub.10.1007/bf02180145",
"inLanguage": [
"en"
],
"isAccessibleForFree": true,
"isPartOf": [
{
"id": "sg:journal.1040979",
"issn": [
"0022-4715",
"1572-9613"
],
"name": "Journal of Statistical Physics",
"type": "Periodical"
},
{
"issueNumber": "5-6",
"type": "PublicationIssue"
},
{
"type": "PublicationVolume",
"volumeNumber": "78"
}
],
"name": "Superexponential stability of KAM tori",
"pagination": "1607-1617",
"productId": [
{
"name": "readcube_id",
"type": "PropertyValue",
"value": [
"14f75f028bb8ee9063ad12a5b0ff645d4b986bc8fd68d7a0c58826c533d3b0e9"
]
},
{
"name": "doi",
"type": "PropertyValue",
"value": [
"10.1007/bf02180145"
]
},
{
"name": "dimensions_id",
"type": "PropertyValue",
"value": [
"pub.1004400049"
]
}
],
"sameAs": [
"https://doi.org/10.1007/bf02180145",
"https://app.dimensions.ai/details/publication/pub.1004400049"
],
"sdDataset": "articles",
"sdDatePublished": "2019-04-11T12:15",
"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/v90/0000000361_0000000361/records_54015_00000000.jsonl",
"type": "ScholarlyArticle",
"url": "http://link.springer.com/10.1007%2FBF02180145"
}
]
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.10.1007/bf02180145'
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/bf02180145'
Turtle is a human-readable linked data format.
curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf02180145'
RDF/XML is a standard XML format for linked data.
curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf02180145'
This table displays all metadata directly associated to this object as RDF triples.
109 TRIPLES
21 PREDICATES
38 URIs
19 LITERALS
7 BLANK NODES