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Simple dynamical systems

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Simple dynamical systems

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Ali Akbar, K.; Kannan, V.; Subramania Pillai, I. (2019). Simple dynamical systems. Applied General Topology. 20(2):307-324. https://doi.org/10.4995/agt.2019.7910

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Metadatos del ítem

Título: Simple dynamical systems
Autor: Ali Akbar, K. Kannan, V. Subramania Pillai, I.
Fecha difusión:
Resumen:
[EN] In this paper, we study the class of simple systems on R induced by homeomorphisms having finitely many non-ordinary points. We characterize the family of homeomorphisms on R having finitely many non-ordinary points ...[+]
Palabras clave: Special points , Non-ordinary points , Critical points , Order conjugacy
Derechos de uso: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Fuente:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2019.7910
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2019.7910
Agradecimientos:
The first author acknowledges UGC, INDIA for financial support.
Tipo: Artículo

References

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L. Block and E. Coven, Topological conjugacy and transitivity for a class of piecewise monotone maps of the interval, Trans. Amer. Math. Soc. 300 (1987), 297-306. https://doi.org/10.1090/S0002-9947-1987-0871677-X

M. Brin and G. Stuck, Introduction to Dynamical Systems, Cambridge University Press, 2002. https://doi.org/10.1017/CBO9780511755316 [+]
L. S. Block and W. A. Coppel, Dynamics in One Dimension, Volume 1513 of Lecture Notes in Mathematics, Springer-Verlag, Berline, 1992. https://doi.org/10.1007/BFb0084762

L. Block and E. Coven, Topological conjugacy and transitivity for a class of piecewise monotone maps of the interval, Trans. Amer. Math. Soc. 300 (1987), 297-306. https://doi.org/10.1090/S0002-9947-1987-0871677-X

M. Brin and G. Stuck, Introduction to Dynamical Systems, Cambridge University Press, 2002. https://doi.org/10.1017/CBO9780511755316

R. L. Devaney, An Introduction to Chaotic Dynamical Systems, Addison-Wesley Publishing Company Advanced Book Program, Redwood City, CA, second edition, 1989.

R. A. Holmgren, A First Course in Discrete Dynamical Systems, Springer-Verlag, New York, 1996. https://doi.org/10.1007/978-1-4419-8732-7

S. Sai, Symbolic dynamics for complete classification, Ph.D Thesis, University of Hyderabad, 2000.

B. Sankara Rao, I. Subramania Pillai and V. Kannan, The set of dynamically special points, Aequationes Mathematicae 82, no. 1-2 (2011), 81-90. https://doi.org/10.1007/s00010-010-0066-6

A. N. Sharkovskii, Coexistence of cycles of a continuous map of a line into itself, Ukr. Math. Z. 16 (1964), 61-71.

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