Pub Date : 1990-12-31DOI: 10.1515/9783112581445-005
Jochen Kastner, Ch. Zylka
{"title":"An application of majorization in the theory of dynamical systems","authors":"Jochen Kastner, Ch. Zylka","doi":"10.1515/9783112581445-005","DOIUrl":"https://doi.org/10.1515/9783112581445-005","url":null,"abstract":"","PeriodicalId":326120,"journal":{"name":"Nonlinear Dynamics and Quantum Dynamical Systems","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116922534","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1990-12-31DOI: 10.1515/9783112581445-016
G. Wunsch
{"title":"Mechanics from a system theoretic point of view","authors":"G. Wunsch","doi":"10.1515/9783112581445-016","DOIUrl":"https://doi.org/10.1515/9783112581445-016","url":null,"abstract":"","PeriodicalId":326120,"journal":{"name":"Nonlinear Dynamics and Quantum Dynamical Systems","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121206314","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1990-12-31DOI: 10.1515/9783112581445-007
G. Leonov
{"title":"Orbital stability and problems of nonlocal dynamics","authors":"G. Leonov","doi":"10.1515/9783112581445-007","DOIUrl":"https://doi.org/10.1515/9783112581445-007","url":null,"abstract":"","PeriodicalId":326120,"journal":{"name":"Nonlinear Dynamics and Quantum Dynamical Systems","volume":"76 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125426872","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1990-12-31DOI: 10.1515/9783112581445-008
P. Moebius
{"title":"About the structure of conserved quantities of special many-body systems","authors":"P. Moebius","doi":"10.1515/9783112581445-008","DOIUrl":"https://doi.org/10.1515/9783112581445-008","url":null,"abstract":"","PeriodicalId":326120,"journal":{"name":"Nonlinear Dynamics and Quantum Dynamical Systems","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130339232","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1990-12-31DOI: 10.1515/9783112581445-004
T. Hudetz
As a "by-product" of the Connes-Nainhofer-Thirring theory of dynamical entropy for (originally nonAbelian) nuclear C*-algebras, the well-known variational principle for topological entropy is equivalently reformulated in purely algebraically defined terms for (separable) Abelian C*-algebras. This "algebraic variational principle" should not only nicely illustrate the ''feed-back'' of methods developed for quantum dynamical systems to the classical theory, but it could also be proved directly by "algebraic" methods and could thus further simplify the original proof of the variational principle (at least "in principle"). Invited contribution to the International Seminar on Applied Mathematics (ISAM 90) on "Dynamical Systems", Gaussig, GDR.
{"title":"Algebraic topological entropy","authors":"T. Hudetz","doi":"10.1515/9783112581445-004","DOIUrl":"https://doi.org/10.1515/9783112581445-004","url":null,"abstract":"As a \"by-product\" of the Connes-Nainhofer-Thirring theory of dynamical entropy for (originally nonAbelian) nuclear C*-algebras, the well-known variational principle for topological entropy is equivalently reformulated in purely algebraically defined terms for (separable) Abelian C*-algebras. This \"algebraic variational principle\" should not only nicely illustrate the ''feed-back'' of methods developed for quantum dynamical systems to the classical theory, but it could also be proved directly by \"algebraic\" methods and could thus further simplify the original proof of the variational principle (at least \"in principle\"). Invited contribution to the International Seminar on Applied Mathematics (ISAM 90) on \"Dynamical Systems\", Gaussig, GDR.","PeriodicalId":326120,"journal":{"name":"Nonlinear Dynamics and Quantum Dynamical Systems","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116111911","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1990-12-31DOI: 10.1515/9783112581445-002
B. Aulbach, S. Hilger
{"title":"Linear Dynamic Processes with Inhomogeneous Time Scale","authors":"B. Aulbach, S. Hilger","doi":"10.1515/9783112581445-002","DOIUrl":"https://doi.org/10.1515/9783112581445-002","url":null,"abstract":"","PeriodicalId":326120,"journal":{"name":"Nonlinear Dynamics and Quantum Dynamical Systems","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132919830","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1990-12-31DOI: 10.1515/9783112581445-010
Uhi Quasthoff, Axel Schiller
{"title":"Cellular automata and symbolic dynamics","authors":"Uhi Quasthoff, Axel Schiller","doi":"10.1515/9783112581445-010","DOIUrl":"https://doi.org/10.1515/9783112581445-010","url":null,"abstract":"","PeriodicalId":326120,"journal":{"name":"Nonlinear Dynamics and Quantum Dynamical Systems","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123931314","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1990-12-31DOI: 10.1515/9783112581445-011
S. Reich
{"title":"On a geometric characterization of differentialalgebraic equations","authors":"S. Reich","doi":"10.1515/9783112581445-011","DOIUrl":"https://doi.org/10.1515/9783112581445-011","url":null,"abstract":"","PeriodicalId":326120,"journal":{"name":"Nonlinear Dynamics and Quantum Dynamical Systems","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134447897","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1990-12-31DOI: 10.1515/9783112581445-006
N. Koksch
{"title":"On application of Ljapunov functions and comparison systems to analysis of stability for nonlinear ordinary differential equations","authors":"N. Koksch","doi":"10.1515/9783112581445-006","DOIUrl":"https://doi.org/10.1515/9783112581445-006","url":null,"abstract":"","PeriodicalId":326120,"journal":{"name":"Nonlinear Dynamics and Quantum Dynamical Systems","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130193143","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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