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The class of simple dynamics systems

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The class of simple dynamics systems

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Ali Akbar, K. (2020). The class of simple dynamics systems. Applied General Topology. 21(2):215-233. https://doi.org/10.4995/agt.2020.12929

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Título: The class of simple dynamics systems
Autor: Ali Akbar, Kamaludheen
Fecha difusión:
Resumen:
[EN] In this paper, we study the class of simple dynamical systems on R induced by continuous maps having finitely many non-ordinary points. We characterize this class using labeled digraphs and dynamically independent ...[+]
Palabras clave: Special points , Non-ordinary points , Critical points , Order conjugacy , Order isomorphism , Labeled digraph , Dynamically independent set
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.2020.12929
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2020.12929
Código del Proyecto:
info:eu-repo/grantAgreement/DST//MTR%2F2018%2F000256/
Agradecimientos:
The author is very thankful to the referee for giving valuable suggestions. The author acknowledges SERB-MATRICS Grant No. MTR/2018/000256 for financial support.
Tipo: Artículo

References

K. Ali Akbar, Some results in linear, symbolic, and general topological dynamics, Ph. D. Thesis, University of Hyderabad (2010).

K. Ali Akbar, V. Kannan and I. Subramania Pillai, Simple dynamical systems, Applied General Topology 2, no. 2 (2019), 307-324. https://doi.org/10.4995/agt.2019.7910

A. Brown and C. Pearcy, An introduction to analysis (Graduate Texts in Mathematics), Springer-Verlag, New York, 1995. https://doi.org/10.1007/978-1-4612-0787-0 [+]
K. Ali Akbar, Some results in linear, symbolic, and general topological dynamics, Ph. D. Thesis, University of Hyderabad (2010).

K. Ali Akbar, V. Kannan and I. Subramania Pillai, Simple dynamical systems, Applied General Topology 2, no. 2 (2019), 307-324. https://doi.org/10.4995/agt.2019.7910

A. Brown and C. Pearcy, An introduction to analysis (Graduate Texts in Mathematics), Springer-Verlag, New York, 1995. https://doi.org/10.1007/978-1-4612-0787-0

R. A. Holmgren, A first course in discrete dynamical systems, Springer-Verlag, NewYork, 1996. https://doi.org/10.1007/978-1-4419-8732-7

S. Patinkin, Transitivity implies period 6, preprint.

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

J. Smital, A chaotic function with some extremal properties, Proc. Amer. Math. Soc. 87 (1983), 54-56. https://doi.org/10.2307/2044350

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

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