{"id":"https://openalex.org/W7212029911","doi":"https://doi.org/10.48550/arxiv.2609.08028","title":"New Symbolic Procedures in the Study of Dynamical Systems","display_name":"New Symbolic Procedures in the Study of Dynamical Systems","publication_year":2026,"publication_date":"2026-09-07","ids":{"openalex":"https://openalex.org/W7212029911","doi":"https://doi.org/10.48550/arxiv.2609.08028"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.08028","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.08028","pdf_url":"https://arxiv.org/pdf/2609.08028","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.08028","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037856172","display_name":"Daniel Condurache","orcid":"https://orcid.org/0000-0001-9287-8387","observed_orcids":["https://orcid.org/0000-0001-9287-8387"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Condurache, Daniel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5037856172"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"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/T13806","display_name":"Mathematical and Computational Methods","score":0.14650000631809235,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T13806","display_name":"Mathematical and Computational Methods","score":0.14650000631809235,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.13850000500679016,"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"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.13349999487400055,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/orthogonal-idempotents","display_name":"orthogonal idempotents","score":0.9800000190734863},{"id":"https://openalex.org/keywords/zero-divisors","display_name":"zero divisors","score":0.996999979019165},{"id":"https://openalex.org/keywords/walsh-functions","display_name":"Walsh functions","score":0.9559999704360962},{"id":"https://openalex.org/keywords/system-identification","display_name":"system identification","score":0.9900000095367432},{"id":"https://openalex.org/keywords/noninertial-frames","display_name":"non-inertial frames","score":0.8949999809265137},{"id":"https://openalex.org/keywords/foucault-pendulum","display_name":"Foucault pendulum","score":1.0},{"id":"https://openalex.org/keywords/central-force","display_name":"central force","score":0.9049999713897705},{"id":"https://openalex.org/keywords/two-body-problem","display_name":"two-body problem","score":0.9350000023841858},{"id":"https://openalex.org/keywords/rotating-reference-frame","display_name":"rotating frame","score":0.9480000138282776}],"concepts":[{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.6758000254631042},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.5699999928474426},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.5198000073432922},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5131000280380249},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.49869999289512634},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4819999933242798},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41999998688697815},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.41350001096725464},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.4106999933719635},{"id":"https://openalex.org/C114275822","wikidata":"https://www.wikidata.org/wiki/Q621512","display_name":"Linear dynamical system","level":3,"score":0.3928000032901764},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3889000117778778},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.3513999879360199},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.34769999980926514},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3391999900341034},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.33410000801086426},{"id":"https://openalex.org/C2776095079","wikidata":"https://www.wikidata.org/wiki/Q489538","display_name":"The Symbolic","level":2,"score":0.30320000648498535},{"id":"https://openalex.org/C164319782","wikidata":"https://www.wikidata.org/wiki/Q1934233","display_name":"Walsh function","level":2,"score":0.28690001368522644},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.26899999380111694},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2599000036716461},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2563999891281128}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.08028","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.08028","pdf_url":"https://arxiv.org/pdf/2609.08028","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.08028","doi":"https://doi.org/10.48550/arxiv.2609.08028","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.08028","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.08028","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.08028","pdf_url":"https://arxiv.org/pdf/2609.08028","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7212029911.pdf","grobid_xml":"https://content.openalex.org/works/W7212029911.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1876468562","https://openalex.org/W84754913","https://openalex.org/W2747814430","https://openalex.org/W2079626172","https://openalex.org/W6962077910","https://openalex.org/W2321229088","https://openalex.org/W7161501106","https://openalex.org/W620417105","https://openalex.org/W3190161417","https://openalex.org/W2317203265"],"abstract_inverted_index":{"The":[0,13,36],"thesis":[1],"develops":[2],"symbolic":[3],"representations":[4],"of":[5,23,79],"dynamical":[6],"systems":[7],"in":[8,45,58,66],"finite-dimensional":[9],"commutative":[10],"real":[11],"algebras.":[12],"algebraic":[14],"framework":[15],"(orthogonal":[16],"idempotents,":[17],"zero":[18],"divisors,":[19],"and":[20,29,32,62],"the":[21,54,63,80],"structure":[22],"finite-order":[24],"algebras)":[25],"supports":[26],"algebra-valued":[27],"Fourier":[28],"Laplace":[30],"transforms":[31],"Walsh-function-based":[33],"system":[34],"identification.":[35],"methods":[37],"yield":[38],"exact,":[39],"coordinate-free":[40],"vectorial":[41],"solutions":[42],"for":[43],"motion":[44,57],"non-inertial":[46],"reference":[47,69],"frames,":[48],"including":[49],"a":[50],"generalized":[51],"Larmor":[52],"theorem,":[53],"Foucault":[55],"pendulum,":[56],"central":[59],"positional-force":[60],"fields,":[61],"two-body":[64],"problem":[65],"arbitrarily":[67],"rotating":[68],"frames.":[70],"This":[71],"English":[72],"edition":[73],"is":[74],"an":[75,84],"audited":[76],"LaTeX":[77],"reconstruction":[78],"1995":[81],"original,":[82],"with":[83],"editorial":[85],"note":[86],"documenting":[87],"provenance.":[88]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-09-10T00:00:00"}
