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Dynamics of real projective transformations

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Dynamics of real projective transformations

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dc.contributor.author Gopal, Sharan es_ES
dc.contributor.author Ravulapalli, Srikanth es_ES
dc.date.accessioned 2018-10-05T07:30:23Z
dc.date.available 2018-10-05T07:30:23Z
dc.date.issued 2018-10-04
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/109456
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. es_ES
dc.description.sponsorship The 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.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Topological entropy es_ES
dc.subject Zeta function es_ES
dc.subject Projective transformation es_ES
dc.title Dynamics of real projective transformations es_ES
dc.type Artículo es_ES
dc.date.updated 2018-10-04T12:57:37Z
dc.identifier.doi 10.4995/agt.2018.7962
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Gopal, S.; Ravulapalli, S. (2018). Dynamics of real projective transformations. Applied General Topology. 19(2):239-244. https://doi.org/10.4995/agt.2018.7962 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2018.7962 es_ES
dc.description.upvformatpinicio 239 es_ES
dc.description.upvformatpfin 244 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 19
dc.description.issue 2
dc.identifier.eissn 1989-4147
dc.contributor.funder Birla Institute of Technology and Science, Pilani
dc.contributor.funder University Grants Commission, India
dc.description.references R. 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/S0002-9947-1965-0175106-9 es_ES
dc.description.references R. 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-X es_ES
dc.description.references M. Brin and G. Stuck, Introduction to dynamical systems, Cambridge University Press (2004). es_ES
dc.description.references S. 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.references R. Devaney, An introduction to chaotic dynamical systems, Second edition, Addison-Wesley Publishing Company Advanced Book Program, Redwood City, CA, 1989. es_ES
dc.description.references N. H. Kuiper, Topological conjugacy of real projective transformations, Topology 15 (1976), 13-22. https://doi.org/10.1016/0040-9383(76)90046-X es_ES


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