Dynamics of real projective transformations

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dc.contributor.authorGopal, Sharanes_ES
dc.contributor.authorRavulapalli, Srikanthes_ES
dc.contributor.funderBirla Institute of Technology and Science, Pilani
dc.contributor.funderUniversity Grants Commission, India
dc.date.accessioned2018-10-05T07:30:23Z
dc.date.available2018-10-05T07:30:23Z
dc.date.issued2018-10-04
dc.date.updated2018-10-04T12:57:37Z
dc.description.abstract[EN] The dynamics of a projective transformation on a real projective space are studied in this paper. The two main aspects of these transformations that are studied here are the topological entropy and the zeta function. Topological entropy is an inherent property of a dynamical system whereas the zeta function is a useful tool for the study of periodic points. We find the zeta function for a general projective transformation but entropy only for certain transformations on the real projective line.en_EN
dc.description.accrualMethodSWORDes_ES
dc.description.bibliographicCitationGopal, S.; Ravulapalli, S. (2018). Dynamics of real projective transformations. Applied General Topology. 19(2):239-244. https://doi.org/10.4995/agt.2018.7962es_ES
dc.description.issue2
dc.description.referencesR. L. Adler, A. G. Konheim and M. H. McAndrew, Topological entropy, Transactions of the American Mathematical Society 114 (1965), 309-319. https://doi.org/10.1090/S0002-9947-1965-0175106-9es_ES
dc.description.referencesR. Bowen, Entropy for group endomorphisms and homogeneous spaces, Transactions of the American Mathematical Society 153 (1971), 401-414. https://doi.org/10.1090/S0002-9947-1971-0274707-Xes_ES
dc.description.referencesM. Brin and G. Stuck, Introduction to dynamical systems, Cambridge University Press (2004).es_ES
dc.description.referencesS. G. Dani, Dynamical properties of linear and projective transformations and their applications, Indian J. Pure Appl. Math. 35 (2004), 1365-1394.es_ES
dc.description.referencesR. Devaney, An introduction to chaotic dynamical systems, Second edition, Addison-Wesley Publishing Company Advanced Book Program, Redwood City, CA, 1989.es_ES
dc.description.referencesN. H. Kuiper, Topological conjugacy of real projective transformations, Topology 15 (1976), 13-22. https://doi.org/10.1016/0040-9383(76)90046-Xes_ES
dc.description.sponsorshipThe authors thank the referee for his suggestions. The first author acknowledges the financial support received under the Research Initiation Grant provided by BITS-Pilani. The second author thanks UGC,India for receiving the financial support as a UGC - Senior Research Fellow.es_ES
dc.description.upvformatpfin244es_ES
dc.description.upvformatpinicio239es_ES
dc.description.volume19
dc.identifier.doi10.4995/agt.2018.7962
dc.identifier.eissn1989-4147
dc.identifier.issn1576-9402
dc.identifier.urihttps://riunet.upv.es/handle/10251/109456
dc.languageIngléses_ES
dc.publisherUniversitat Politècnica de València
dc.relation.ispartofApplied General Topology
dc.relation.publisherversionhttps://doi.org/10.4995/agt.2018.7962es_ES
dc.relation.references10.1090/S0002-9947-1965-0175106-9es_ES
dc.relation.references10.1090/S0002-9947-1971-0274707-Xes_ES
dc.relation.references10.1016/0040-9383(76)90046-Xes_ES
dc.rightsReconocimiento - No comercial - Sin obra derivada (by-nc-nd)es_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectTopological entropyes_ES
dc.subjectZeta functiones_ES
dc.subjectProjective transformationes_ES
dc.titleDynamics of real projective transformationses_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
upv.uuid464ebc94-e6f2-4108-bf80-64f81d494b21es_ES

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Applied General Topology - Vol 19, No 2 (2018)