{"id":"https://openalex.org/W1014612","doi":"https://doi.org/10.1007/978-1-4020-5678-9_37","title":"A characterization of the dynamics of Newton\u2019s derivative","display_name":"A characterization of the dynamics of Newton\u2019s derivative","publication_year":2007,"publication_date":"2007-11-24","ids":{"openalex":"https://openalex.org/W1014612","doi":"https://doi.org/10.1007/978-1-4020-5678-9_37","mag":"1014612"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4020-5678-9_37","doi":"https://doi.org/10.1007/978-1-4020-5678-9_37","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4020-5678-9_37","pdf_url":null,"source":{"id":"https://openalex.org/S4306463937","display_name":"Springer eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Methods in Engineering","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W657979773","display_name":"Mathematical Methods in Engineering"},"type":"book-chapter","indexed_in":["crossref"],"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/A5048109941","display_name":"Mehmet \u00d6zer","orcid":"https://orcid.org/0000-0001-9606-3708","observed_orcids":["https://orcid.org/0000-0001-9606-3708"]},"institutions":[{"id":"https://openalex.org/I197185219","display_name":"Istanbul K\u00fclt\u00fcr University","ror":"https://ror.org/05jvrwv37","country_code":"TR","type":"education","lineage":["https://openalex.org/I197185219"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Mehmet \u00d6zer","raw_affiliation_strings":["Atakoy Yerleskesi, Bakirkoy, Istanbul Kultur University, TR-34156, Istanbul, Turkey","Semiconductor Physics Institute, A.Gostauto 11, LT-01108, Vilnius, Lithuania","Atakoy Yerleskesi, Bakirkoy, Istanbul Kultur University, Istanbul, Turkey","Semiconductor Physics Institute, Vilnius, Lithuania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Atakoy Yerleskesi, Bakirkoy, Istanbul Kultur University, TR-34156, Istanbul, Turkey","institution_ids":["https://openalex.org/I197185219"]},{"raw_affiliation_string":"Semiconductor Physics Institute, A.Gostauto 11, LT-01108, Vilnius, Lithuania","institution_ids":[]},{"raw_affiliation_string":"Atakoy Yerleskesi, Bakirkoy, Istanbul Kultur University, Istanbul, Turkey","institution_ids":["https://openalex.org/I197185219"]},{"raw_affiliation_string":"Semiconductor Physics Institute, Vilnius, Lithuania","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042852942","display_name":"Antonios Valar\u0131stos","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"A. Valaristos","raw_affiliation_strings":["Aristotle University of Thessaloniki, GR-54124, Thessaloniki, Greece","Aristotle University of Thessaloniki, Thessaloniki, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aristotle University of Thessaloniki, GR-54124, Thessaloniki, Greece","institution_ids":["https://openalex.org/I21370196"]},{"raw_affiliation_string":"Aristotle University of Thessaloniki, Thessaloniki, Greece","institution_ids":["https://openalex.org/I21370196"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059859409","display_name":"Ya\u015far Polato\u011flu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I197185219","display_name":"Istanbul K\u00fclt\u00fcr University","ror":"https://ror.org/05jvrwv37","country_code":"TR","type":"education","lineage":["https://openalex.org/I197185219"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Yasar Polatoglu","raw_affiliation_strings":["Atakoy Yerleskesi, Bakirkoy, Istanbul Kultur University, Istanbul, Turkey","Atakoy Yerleskesi, Bakirkoy, Istanbul Kultur University, TR-34156, Istanbul, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Atakoy Yerleskesi, Bakirkoy, Istanbul Kultur University, Istanbul, Turkey","institution_ids":["https://openalex.org/I197185219"]},{"raw_affiliation_string":"Atakoy Yerleskesi, Bakirkoy, Istanbul Kultur University, TR-34156, Istanbul, Turkey","institution_ids":["https://openalex.org/I197185219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023210159","display_name":"G\u00fcrsel Hacibekiro\u011flu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I197185219","display_name":"Istanbul K\u00fclt\u00fcr University","ror":"https://ror.org/05jvrwv37","country_code":"TR","type":"education","lineage":["https://openalex.org/I197185219"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"G\u00fcrsel Hacibekiroglu","raw_affiliation_strings":["Atakoy Yerleskesi, Bakirkoy, Istanbul Kultur University, Istanbul, Turkey","Atakoy Yerleskesi, Bakirkoy, Istanbul Kultur University, TR-34156, Istanbul, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Atakoy Yerleskesi, Bakirkoy, Istanbul Kultur University, Istanbul, Turkey","institution_ids":["https://openalex.org/I197185219"]},{"raw_affiliation_string":"Atakoy Yerleskesi, Bakirkoy, Istanbul Kultur University, TR-34156, Istanbul, Turkey","institution_ids":["https://openalex.org/I197185219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062980566","display_name":"Antanas \u010cenys","orcid":"https://orcid.org/0000-0002-0208-7176","observed_orcids":["https://orcid.org/0000-0002-0208-7176"]},"institutions":[{"id":"https://openalex.org/I167420956","display_name":"Vilnius Gediminas Technical University","ror":"https://ror.org/02x3e4q36","country_code":"LT","type":"education","lineage":["https://openalex.org/I167420956"]}],"countries":["LT"],"is_corresponding":false,"raw_author_name":"Antanas \u010cenys","raw_affiliation_strings":["Semiconductor Physics Institute, A.Gostauto 11, LT-01108, Vilnius, Lithuania","Vilnius Technical University, Sauletekio 11, Vilnius, Lithuania","Semiconductor Physics Institute, Vilnius, Lithuania","Vilnius Technical University, Vilnius, Lithuania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Semiconductor Physics Institute, A.Gostauto 11, LT-01108, Vilnius, Lithuania","institution_ids":[]},{"raw_affiliation_string":"Vilnius Technical University, Sauletekio 11, Vilnius, Lithuania","institution_ids":["https://openalex.org/I167420956"]},{"raw_affiliation_string":"Semiconductor Physics Institute, Vilnius, Lithuania","institution_ids":[]},{"raw_affiliation_string":"Vilnius Technical University, Vilnius, Lithuania","institution_ids":["https://openalex.org/I167420956"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103126478","display_name":"A. N. Anagnostopoulos","orcid":"https://orcid.org/0000-0002-1574-0824","observed_orcids":["https://orcid.org/0000-0002-1574-0824"]},"institutions":[{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"A. N. Anagnostopoulos","raw_affiliation_strings":["Aristotle University of Thessaloniki, GR-54124, Thessaloniki, Greece","Aristotle University of Thessaloniki, Thessaloniki, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aristotle University of Thessaloniki, GR-54124, Thessaloniki, Greece","institution_ids":["https://openalex.org/I21370196"]},{"raw_affiliation_string":"Aristotle University of Thessaloniki, Thessaloniki, Greece","institution_ids":["https://openalex.org/I21370196"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00052687,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"423","last_page":"433"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.989300012588501,"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":0.989300012588501,"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/T10244","display_name":"Chaos control and synchronization","score":0.008799999952316284,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"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":0.000699999975040555,"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/one-dimensional-maps","display_name":"one-dimensional maps","score":0.8109999895095825},{"id":"https://openalex.org/keywords/recurrence-relations","display_name":"recurrence relations","score":0.4569999873638153},{"id":"https://openalex.org/keywords/period-doubling-route-to-chaos","display_name":"period-doubling route to chaos","score":0.8700000047683716},{"id":"https://openalex.org/keywords/lyapunov-exponents","display_name":"Lyapunov exponents","score":0.9020000100135803},{"id":"https://openalex.org/keywords/oscillations","display_name":"oscillations","score":0.6639999747276306},{"id":"https://openalex.org/keywords/control-parameters","display_name":"control parameters","score":0.3720000088214874}],"concepts":[{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.6320062875747681},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.5857704877853394},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5634762644767761},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.5579615235328674},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5433943271636963},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5211086869239807},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.4936419725418091},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37093275785446167},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.36665284633636475},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.33716583251953125},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.327639102935791},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.20225510001182556},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12539783120155334},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.06940186023712158},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-1-4020-5678-9_37","doi":"https://doi.org/10.1007/978-1-4020-5678-9_37","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4020-5678-9_37","pdf_url":null,"source":{"id":"https://openalex.org/S4306463937","display_name":"Springer eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Methods in Engineering","raw_type":"book-chapter"}],"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":20,"referenced_works":["https://openalex.org/W119916070","https://openalex.org/W1497472866","https://openalex.org/W1539859753","https://openalex.org/W1559552762","https://openalex.org/W1588906117","https://openalex.org/W2063129790","https://openalex.org/W2155934054","https://openalex.org/W2219848604","https://openalex.org/W2335281156","https://openalex.org/W2489809839","https://openalex.org/W2752539438","https://openalex.org/W2910259024","https://openalex.org/W2994685737","https://openalex.org/W3125083050","https://openalex.org/W3141151088","https://openalex.org/W3151761525","https://openalex.org/W4210621539","https://openalex.org/W4213236654","https://openalex.org/W4230133124","https://openalex.org/W4295102413"],"related_works":["https://openalex.org/W1979229270","https://openalex.org/W2374600121","https://openalex.org/W125502673","https://openalex.org/W2384948345","https://openalex.org/W3107994849","https://openalex.org/W2027784897","https://openalex.org/W2019045751","https://openalex.org/W2368364854","https://openalex.org/W2013073014","https://openalex.org/W2725952545"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-10-10T09:11:00.788812","created_date":"2025-10-10T00:00:00"}