{"id":"https://openalex.org/W1486512463","doi":null,"title":"A First Course in Dynamics: With a Panorama of Recent Developments","display_name":"A First Course in Dynamics: With a Panorama of Recent Developments","publication_year":2010,"publication_date":"2010-06-07","ids":{"openalex":"https://openalex.org/W1486512463","mag":"1486512463"},"language":"en","primary_location":{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-009942380","doi":null,"is_oa":false,"landing_page_url":"https://bvbr.bib-bvb.de:443/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009942380&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"article","indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018347031","display_name":"Boris Hasselblatt","orcid":"https://orcid.org/0000-0003-3548-0393","observed_orcids":["https://orcid.org/0000-0003-3548-0393"]},"institutions":[{"id":"https://openalex.org/I121934306","display_name":"Tufts University","ror":"https://ror.org/05wvpxv85","country_code":"US","type":"education","lineage":["https://openalex.org/I121934306"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Boris Hasselblatt","raw_affiliation_strings":["Tufts University, Massachusetts#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tufts University, Massachusetts#TAB#","institution_ids":["https://openalex.org/I121934306"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108479328","display_name":"Anatole Katok","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anatole Katok","raw_affiliation_strings":["Pennsylvania State Univ#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pennsylvania State Univ#TAB#","institution_ids":["https://openalex.org/I130769515"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":20.4197,"has_fulltext":false,"cited_by_count":187,"citation_normalized_percentile":{"value":0.99878049,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/dynamical-systems","display_name":"dynamical systems","score":0.9700000286102295},{"id":"https://openalex.org/keywords/asymptotic-behavior","display_name":"asymptotic behavior","score":0.7110000252723694},{"id":"https://openalex.org/keywords/contractions","display_name":"contractions","score":0.8410000205039978},{"id":"https://openalex.org/keywords/logistic-map","display_name":"logistic map","score":0.9100000262260437},{"id":"https://openalex.org/keywords/equidistribution","display_name":"equidistribution","score":0.9980000257492065},{"id":"https://openalex.org/keywords/symbolic-dynamics","display_name":"symbolic dynamics","score":1.0},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"classical mechanics","score":0.8349999785423279},{"id":"https://openalex.org/keywords/hyperbolic-dynamics","display_name":"hyperbolic dynamics","score":0.9819999933242798},{"id":"https://openalex.org/keywords/strange-attractors","display_name":"chaotic attractors","score":0.9980000257492065},{"id":"https://openalex.org/keywords/twist-maps","display_name":"twist maps","score":1.0},{"id":"https://openalex.org/keywords/kam-theory","display_name":"KAM theory","score":0.9819999933242798},{"id":"https://openalex.org/keywords/coding-theory","display_name":"coding theory","score":0.7080000042915344},{"id":"https://openalex.org/keywords/nonlinear-science","display_name":"nonlinear science","score":0.5960000157356262},{"id":"https://openalex.org/keywords/chaos-theory","display_name":"chaos theory","score":0.9330000281333923}],"concepts":[{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5780388116836548},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.566909670829773},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5385423898696899},{"id":"https://openalex.org/C2779193601","wikidata":"https://www.wikidata.org/wiki/Q20026918","display_name":"Mathematical theory","level":2,"score":0.4675278663635254},{"id":"https://openalex.org/C16101541","wikidata":"https://www.wikidata.org/wiki/Q1350838","display_name":"Symbolic dynamics","level":2,"score":0.45495739579200745},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45371493697166443},{"id":"https://openalex.org/C167808689","wikidata":"https://www.wikidata.org/wiki/Q15994658","display_name":"Newtonian dynamics","level":2,"score":0.4359833598136902},{"id":"https://openalex.org/C20129857","wikidata":"https://www.wikidata.org/wiki/Q751611","display_name":"Mathematical and theoretical biology","level":2,"score":0.42252930998802185},{"id":"https://openalex.org/C2777451057","wikidata":"https://www.wikidata.org/wiki/Q4387017","display_name":"Mathematical sciences","level":2,"score":0.4102945029735565},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.385272353887558},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3822844624519348},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.35152387619018555},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.23366263508796692},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19057407975196838},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.15578794479370117},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1428215205669403},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-009942380","doi":null,"is_oa":false,"landing_page_url":"https://bvbr.bib-bvb.de:443/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009942380&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:1486512463","doi":null,"is_oa":false,"landing_page_url":"http://catdir.loc.gov/catdir/samples/cam041/2002019246.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4249901819","https://openalex.org/W2618039635","https://openalex.org/W4298293875","https://openalex.org/W2970855652","https://openalex.org/W4212958445","https://openalex.org/W1558147554","https://openalex.org/W1550247484","https://openalex.org/W7099893465","https://openalex.org/W2273789408","https://openalex.org/W7099878796"],"abstract_inverted_index":{"The":[0,102,145],"theory":[1],"of":[2,16,52,63,110,124,143,153],"dynamical":[3,137],"systems":[4],"is":[5,96],"a":[6,97,122],"major":[7],"mathematical":[8,58,113],"discipline":[9],"closely":[10],"intertwined":[11],"with":[12,60,88],"all":[13],"main":[14],"areas":[15],"mathematics.":[17],"It":[18,66],"has":[19],"greatly":[20],"stimulated":[21],"research":[22],"in":[23,74,136],"many":[24],"sciences":[25],"and":[26,48,55,71,112,130,151,170],"given":[27],"rise":[28],"to":[29,80,126],"the":[30,68,93,107,128,141],"vast":[31],"new":[32],"area":[33],"variously":[34],"called":[35],"applied":[36],"dynamics,":[37,162,165],"nonlinear":[38],"science,":[39],"or":[40,90],"chaos":[41],"theory.":[42,82],"This":[43],"introduction":[44],"for":[45,132],"senior":[46],"undergraduate":[47,99],"beginning":[49],"graduate":[50],"students":[51],"mathematics,":[53],"physics,":[54],"engineering":[56],"combines":[57],"rigor":[59],"copious":[61],"examples":[62,125],"important":[64],"applications.":[65],"covers":[67],"central":[69],"topological":[70],"probabilistic":[72],"notions":[73],"dynamics":[75,116],"ranging":[76],"from":[77],"Newtonian":[78],"mechanics":[79],"coding":[81],"Readers":[83],"need":[84],"not":[85],"be":[86],"familiar":[87],"manifolds":[89],"measure":[91],"theory;":[92],"only":[94],"prerequisite":[95],"basic":[98],"analysis":[100],"course.":[101],"authors":[103],"begin":[104],"by":[105],"describing":[106,133],"wide":[108],"array":[109],"scientific":[111],"questions":[114],"that":[115],"can":[117],"address.":[118],"They":[119],"then":[120],"use":[121],"progression":[123],"present":[127],"concepts":[129],"tools":[131],"asymptotic":[134],"behavior":[135],"systems,":[138],"gradually":[139],"increasing":[140],"level":[142],"complexity.":[144],"final":[146],"chapters":[147],"introduce":[148],"modern":[149],"developments":[150],"applications":[152],"dynamics.":[154],"Subjects":[155],"include":[156],"contractions,":[157],"logistic":[158],"maps,":[159,169],"equidistribution,":[160],"symbolic":[161],"mechanics,":[163],"hyperbolic":[164],"strange":[166],"attractors,":[167],"twist":[168],"KAM-theory.":[171]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":16},{"year":2018,"cited_by_count":13},{"year":2017,"cited_by_count":12},{"year":2016,"cited_by_count":17},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":17},{"year":2012,"cited_by_count":18}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2016-06-24T00:00:00"}