Reduction of Kinetic Equations to Liénard–Levinson–Smith Form: Counting Limit Cycles View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-04

AUTHORS

Sandip Saha, Gautam Gangopadhyay, Deb Shankar Ray

ABSTRACT

We have presented an unified scheme to express a class of system of equations in two variables into a Liénard–Levinson–Smith (LLS) oscillator form. We have derived the condition for limit cycle with special reference to Rayleigh and Liénard systems for arbitrary polynomial functions of damping and restoring force. Krylov–Boguliubov (K–B) method is implemented to determine the maximum number of limit cycles admissible for a LLS oscillator atleast in the weak damping limit. Scheme is illustrated by a number of model systems with single cycle as well as the multiple cycle cases. More... »

PAGES

46

References to SciGraph publications

  • 2011-10. Center or limit cycle: renormalization group as a probe in THE EUROPEAN PHYSICAL JOURNAL D
  • 2011-01. Counting limit cycles with the help of the renormalization group in THE EUROPEAN PHYSICAL JOURNAL D
  • 2014-03. Liénard-type chemical oscillator in THE EUROPEAN PHYSICAL JOURNAL B
  • 1998-03. Mathematical problems for the next century in THE MATHEMATICAL INTELLIGENCER
  • 1989. Mathematical Biology in NONE
  • 2017-03. Isochronicity and limit cycle oscillation in chemical systems in JOURNAL OF MATHEMATICAL CHEMISTRY
  • 1996. Differential Equations and Dynamical Systems in NONE
  • 2012-05. Dynamics of a biological system with time-delayed noise in THE EUROPEAN PHYSICAL JOURNAL PLUS
  • 2015-03. Finding Limit Cycles in self-excited oscillators with infinite-series damping functions in THE EUROPEAN PHYSICAL JOURNAL D
  • 2019-03. When an oscillating center in an open system undergoes power law decay in JOURNAL OF MATHEMATICAL CHEMISTRY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s40819-019-0628-9

    DOI

    http://dx.doi.org/10.1007/s40819-019-0628-9

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1113106372


    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/2008/0101", 
            "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": "S.N. Bose National Centre for Basic Sciences", 
              "id": "https://www.grid.ac/institutes/grid.452759.8", 
              "name": [
                "S N Bose National Centre For Basic Sciences, Block-JD, Sector-III, 700106, Salt Lake, Kolkata, India"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Saha", 
            "givenName": "Sandip", 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "S.N. Bose National Centre for Basic Sciences", 
              "id": "https://www.grid.ac/institutes/grid.452759.8", 
              "name": [
                "S N Bose National Centre For Basic Sciences, Block-JD, Sector-III, 700106, Salt Lake, Kolkata, India"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Gangopadhyay", 
            "givenName": "Gautam", 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Indian Association for the Cultivation of Science", 
              "id": "https://www.grid.ac/institutes/grid.417929.0", 
              "name": [
                "Indian Association for the Cultivation of Science, 700032, Jadavpur, Kolkata, India"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Ray", 
            "givenName": "Deb Shankar", 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1140/epjd/e2011-20060-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1000471191", 
              "https://doi.org/10.1140/epjd/e2011-20060-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.chaos.2005.11.063", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1003722964"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4684-0249-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1004475748", 
              "https://doi.org/10.1007/978-1-4684-0249-0"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4684-0249-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1004475748", 
              "https://doi.org/10.1007/978-1-4684-0249-0"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.54.376", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1005353434"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.54.376", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1005353434"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/1751-8113/45/41/415101", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006051492"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.73.1311", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007947101"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.73.1311", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007947101"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-662-08539-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016119828", 
              "https://doi.org/10.1007/978-3-662-08539-4"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-662-08539-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016119828", 
              "https://doi.org/10.1007/978-3-662-08539-4"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1140/epjp/i2012-12059-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1018902450", 
              "https://doi.org/10.1140/epjp/i2012-12059-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.56.3809", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022191715"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.56.3809", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022191715"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf03025291", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022624017", 
              "https://doi.org/10.1007/bf03025291"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1140/epjb/e2014-41070-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025056296", 
              "https://doi.org/10.1140/epjb/e2014-41070-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/s0002-9904-1967-11798-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041331921"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.3309014", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043038241"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1140/epjd/e2010-00281-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044192628", 
              "https://doi.org/10.1140/epjd/e2010-00281-6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1140/epjd/e2015-50457-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045157141", 
              "https://doi.org/10.1140/epjd/e2015-50457-5"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10910-016-0729-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046003235", 
              "https://doi.org/10.1007/s10910-016-0729-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10910-016-0729-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046003235", 
              "https://doi.org/10.1007/s10910-016-0729-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/s0305004100061636", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053852646"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.2759437", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1057864466"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.4931401", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1058096429"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.83.036205", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060741606"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.83.036205", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060741606"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/s0218127407017847", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062955062"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/s0218127491000385", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062957750"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1215/s0012-7094-42-00928-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064416225"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2307/1969299", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1069674690"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.3367/ufne.0179.200912h.1327", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1071210094"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.cnsns.2017.06.010", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1086156887"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/cbo9780511608193", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1098672753"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/2778", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1098841602"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10910-018-0981-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1109802762", 
              "https://doi.org/10.1007/s10910-018-0981-7"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10910-018-0981-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1109802762", 
              "https://doi.org/10.1007/s10910-018-0981-7"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10910-018-0981-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1109802762", 
              "https://doi.org/10.1007/s10910-018-0981-7"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2019-04", 
        "datePublishedReg": "2019-04-01", 
        "description": "We have presented an unified scheme to express a class of system of equations in two variables into a Li\u00e9nard\u2013Levinson\u2013Smith (LLS) oscillator form. We have derived the condition for limit cycle with special reference to Rayleigh and Li\u00e9nard systems for arbitrary polynomial functions of damping and restoring force. Krylov\u2013Boguliubov (K\u2013B) method is implemented to determine the maximum number of limit cycles admissible for a LLS oscillator atleast in the weak damping limit. Scheme is illustrated by a number of model systems with single cycle as well as the multiple cycle cases.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/s40819-019-0628-9", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1135865", 
            "issn": [
              "2349-5103", 
              "2199-5796"
            ], 
            "name": "International Journal of Applied and Computational Mathematics", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "2", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "5"
          }
        ], 
        "name": "Reduction of Kinetic Equations to Li\u00e9nard\u2013Levinson\u2013Smith Form: Counting Limit Cycles", 
        "pagination": "46", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "9481922cbae55444951f3d5478568608ebcb3c122a700706ad46f65c6d1c03c7"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/s40819-019-0628-9"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1113106372"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/s40819-019-0628-9", 
          "https://app.dimensions.ai/details/publication/pub.1113106372"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T13:23", 
        "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/v90/0000000369_0000000369/records_68947_00000002.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://link.springer.com/10.1007%2Fs40819-019-0628-9"
      }
    ]
     

    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/s40819-019-0628-9'

    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/s40819-019-0628-9'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s40819-019-0628-9'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s40819-019-0628-9'


     

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

    172 TRIPLES      21 PREDICATES      56 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/s40819-019-0628-9 schema:about anzsrc-for:01
    2 anzsrc-for:0101
    3 schema:author N671a7ff8ce04467795f8d2c9475693b4
    4 schema:citation sg:pub.10.1007/978-1-4684-0249-0
    5 sg:pub.10.1007/978-3-662-08539-4
    6 sg:pub.10.1007/bf03025291
    7 sg:pub.10.1007/s10910-016-0729-1
    8 sg:pub.10.1007/s10910-018-0981-7
    9 sg:pub.10.1140/epjb/e2014-41070-1
    10 sg:pub.10.1140/epjd/e2010-00281-6
    11 sg:pub.10.1140/epjd/e2011-20060-1
    12 sg:pub.10.1140/epjd/e2015-50457-5
    13 sg:pub.10.1140/epjp/i2012-12059-1
    14 https://doi.org/10.1016/j.chaos.2005.11.063
    15 https://doi.org/10.1016/j.cnsns.2017.06.010
    16 https://doi.org/10.1017/cbo9780511608193
    17 https://doi.org/10.1017/s0305004100061636
    18 https://doi.org/10.1063/1.2759437
    19 https://doi.org/10.1063/1.3309014
    20 https://doi.org/10.1063/1.4931401
    21 https://doi.org/10.1088/1751-8113/45/41/415101
    22 https://doi.org/10.1090/s0002-9904-1967-11798-1
    23 https://doi.org/10.1103/physreve.54.376
    24 https://doi.org/10.1103/physreve.56.3809
    25 https://doi.org/10.1103/physreve.83.036205
    26 https://doi.org/10.1103/physrevlett.73.1311
    27 https://doi.org/10.1142/2778
    28 https://doi.org/10.1142/s0218127407017847
    29 https://doi.org/10.1142/s0218127491000385
    30 https://doi.org/10.1215/s0012-7094-42-00928-1
    31 https://doi.org/10.2307/1969299
    32 https://doi.org/10.3367/ufne.0179.200912h.1327
    33 schema:datePublished 2019-04
    34 schema:datePublishedReg 2019-04-01
    35 schema:description We have presented an unified scheme to express a class of system of equations in two variables into a Liénard–Levinson–Smith (LLS) oscillator form. We have derived the condition for limit cycle with special reference to Rayleigh and Liénard systems for arbitrary polynomial functions of damping and restoring force. Krylov–Boguliubov (K–B) method is implemented to determine the maximum number of limit cycles admissible for a LLS oscillator atleast in the weak damping limit. Scheme is illustrated by a number of model systems with single cycle as well as the multiple cycle cases.
    36 schema:genre research_article
    37 schema:inLanguage en
    38 schema:isAccessibleForFree false
    39 schema:isPartOf N3a524c547ef44884a1e215c34cab5ba6
    40 N86eb8a892e1e444e8c25cb6b28878d28
    41 sg:journal.1135865
    42 schema:name Reduction of Kinetic Equations to Liénard–Levinson–Smith Form: Counting Limit Cycles
    43 schema:pagination 46
    44 schema:productId N3389486ef2ae4abb8874bcbaf9384d3d
    45 Ncaea39f9edc54f928333d53c2322af96
    46 Ne20d122ed5584ffd8daff56ff25feb60
    47 schema:sameAs https://app.dimensions.ai/details/publication/pub.1113106372
    48 https://doi.org/10.1007/s40819-019-0628-9
    49 schema:sdDatePublished 2019-04-11T13:23
    50 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    51 schema:sdPublisher N99d948b0f5394798b75ced772acbb254
    52 schema:url https://link.springer.com/10.1007%2Fs40819-019-0628-9
    53 sgo:license sg:explorer/license/
    54 sgo:sdDataset articles
    55 rdf:type schema:ScholarlyArticle
    56 N198d0942eb9e4d18b8be86d8cc450c89 rdf:first N69822a701b7e4d26b77c4abc8bd75794
    57 rdf:rest rdf:nil
    58 N3389486ef2ae4abb8874bcbaf9384d3d schema:name dimensions_id
    59 schema:value pub.1113106372
    60 rdf:type schema:PropertyValue
    61 N34b9a45ba39840428e806b5f965a8bfe rdf:first Nb4cd154ee9444631adb24348e0078ea1
    62 rdf:rest N198d0942eb9e4d18b8be86d8cc450c89
    63 N3a524c547ef44884a1e215c34cab5ba6 schema:issueNumber 2
    64 rdf:type schema:PublicationIssue
    65 N671a7ff8ce04467795f8d2c9475693b4 rdf:first Nb70d4a10358f49fe83bf5a34c1be2bab
    66 rdf:rest N34b9a45ba39840428e806b5f965a8bfe
    67 N69822a701b7e4d26b77c4abc8bd75794 schema:affiliation https://www.grid.ac/institutes/grid.417929.0
    68 schema:familyName Ray
    69 schema:givenName Deb Shankar
    70 rdf:type schema:Person
    71 N86eb8a892e1e444e8c25cb6b28878d28 schema:volumeNumber 5
    72 rdf:type schema:PublicationVolume
    73 N99d948b0f5394798b75ced772acbb254 schema:name Springer Nature - SN SciGraph project
    74 rdf:type schema:Organization
    75 Nb4cd154ee9444631adb24348e0078ea1 schema:affiliation https://www.grid.ac/institutes/grid.452759.8
    76 schema:familyName Gangopadhyay
    77 schema:givenName Gautam
    78 rdf:type schema:Person
    79 Nb70d4a10358f49fe83bf5a34c1be2bab schema:affiliation https://www.grid.ac/institutes/grid.452759.8
    80 schema:familyName Saha
    81 schema:givenName Sandip
    82 rdf:type schema:Person
    83 Ncaea39f9edc54f928333d53c2322af96 schema:name readcube_id
    84 schema:value 9481922cbae55444951f3d5478568608ebcb3c122a700706ad46f65c6d1c03c7
    85 rdf:type schema:PropertyValue
    86 Ne20d122ed5584ffd8daff56ff25feb60 schema:name doi
    87 schema:value 10.1007/s40819-019-0628-9
    88 rdf:type schema:PropertyValue
    89 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    90 schema:name Mathematical Sciences
    91 rdf:type schema:DefinedTerm
    92 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
    93 schema:name Pure Mathematics
    94 rdf:type schema:DefinedTerm
    95 sg:journal.1135865 schema:issn 2199-5796
    96 2349-5103
    97 schema:name International Journal of Applied and Computational Mathematics
    98 rdf:type schema:Periodical
    99 sg:pub.10.1007/978-1-4684-0249-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004475748
    100 https://doi.org/10.1007/978-1-4684-0249-0
    101 rdf:type schema:CreativeWork
    102 sg:pub.10.1007/978-3-662-08539-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1016119828
    103 https://doi.org/10.1007/978-3-662-08539-4
    104 rdf:type schema:CreativeWork
    105 sg:pub.10.1007/bf03025291 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022624017
    106 https://doi.org/10.1007/bf03025291
    107 rdf:type schema:CreativeWork
    108 sg:pub.10.1007/s10910-016-0729-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046003235
    109 https://doi.org/10.1007/s10910-016-0729-1
    110 rdf:type schema:CreativeWork
    111 sg:pub.10.1007/s10910-018-0981-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1109802762
    112 https://doi.org/10.1007/s10910-018-0981-7
    113 rdf:type schema:CreativeWork
    114 sg:pub.10.1140/epjb/e2014-41070-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025056296
    115 https://doi.org/10.1140/epjb/e2014-41070-1
    116 rdf:type schema:CreativeWork
    117 sg:pub.10.1140/epjd/e2010-00281-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044192628
    118 https://doi.org/10.1140/epjd/e2010-00281-6
    119 rdf:type schema:CreativeWork
    120 sg:pub.10.1140/epjd/e2011-20060-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000471191
    121 https://doi.org/10.1140/epjd/e2011-20060-1
    122 rdf:type schema:CreativeWork
    123 sg:pub.10.1140/epjd/e2015-50457-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045157141
    124 https://doi.org/10.1140/epjd/e2015-50457-5
    125 rdf:type schema:CreativeWork
    126 sg:pub.10.1140/epjp/i2012-12059-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018902450
    127 https://doi.org/10.1140/epjp/i2012-12059-1
    128 rdf:type schema:CreativeWork
    129 https://doi.org/10.1016/j.chaos.2005.11.063 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003722964
    130 rdf:type schema:CreativeWork
    131 https://doi.org/10.1016/j.cnsns.2017.06.010 schema:sameAs https://app.dimensions.ai/details/publication/pub.1086156887
    132 rdf:type schema:CreativeWork
    133 https://doi.org/10.1017/cbo9780511608193 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098672753
    134 rdf:type schema:CreativeWork
    135 https://doi.org/10.1017/s0305004100061636 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053852646
    136 rdf:type schema:CreativeWork
    137 https://doi.org/10.1063/1.2759437 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057864466
    138 rdf:type schema:CreativeWork
    139 https://doi.org/10.1063/1.3309014 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043038241
    140 rdf:type schema:CreativeWork
    141 https://doi.org/10.1063/1.4931401 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058096429
    142 rdf:type schema:CreativeWork
    143 https://doi.org/10.1088/1751-8113/45/41/415101 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006051492
    144 rdf:type schema:CreativeWork
    145 https://doi.org/10.1090/s0002-9904-1967-11798-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041331921
    146 rdf:type schema:CreativeWork
    147 https://doi.org/10.1103/physreve.54.376 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005353434
    148 rdf:type schema:CreativeWork
    149 https://doi.org/10.1103/physreve.56.3809 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022191715
    150 rdf:type schema:CreativeWork
    151 https://doi.org/10.1103/physreve.83.036205 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060741606
    152 rdf:type schema:CreativeWork
    153 https://doi.org/10.1103/physrevlett.73.1311 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007947101
    154 rdf:type schema:CreativeWork
    155 https://doi.org/10.1142/2778 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098841602
    156 rdf:type schema:CreativeWork
    157 https://doi.org/10.1142/s0218127407017847 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062955062
    158 rdf:type schema:CreativeWork
    159 https://doi.org/10.1142/s0218127491000385 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062957750
    160 rdf:type schema:CreativeWork
    161 https://doi.org/10.1215/s0012-7094-42-00928-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064416225
    162 rdf:type schema:CreativeWork
    163 https://doi.org/10.2307/1969299 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069674690
    164 rdf:type schema:CreativeWork
    165 https://doi.org/10.3367/ufne.0179.200912h.1327 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071210094
    166 rdf:type schema:CreativeWork
    167 https://www.grid.ac/institutes/grid.417929.0 schema:alternateName Indian Association for the Cultivation of Science
    168 schema:name Indian Association for the Cultivation of Science, 700032, Jadavpur, Kolkata, India
    169 rdf:type schema:Organization
    170 https://www.grid.ac/institutes/grid.452759.8 schema:alternateName S.N. Bose National Centre for Basic Sciences
    171 schema:name S N Bose National Centre For Basic Sciences, Block-JD, Sector-III, 700106, Salt Lake, Kolkata, India
    172 rdf:type schema:Organization
     




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


    ...