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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Computational Complex Dynamcs of the Discrete Lorenz System

Journal of Applied Nonlinear Dynamics 8(3) (2019) 345--366 | DOI:10.5890/JAND.2019.09.002

Sk. Sarif Hassan

Department of Mathematics, Pingla Thana Mahavidyalaya, Maligram, Paschim Medinipur, 721140, West Bengal, India

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Abstract

The dynamics of the classical Lorenz system is well studied in 1963 by E. N. Lorenz. Later on, there have been an extensive studies on the classical Lorenz system with the complex variables and the discrete time Lorenz system with real variables. To the best of knowledge of the author, so far there is no study on discrete time Lorenz system in complex variables. In this article, an attempt has been made to observe and understand the discrete dynamics of the Lorenz system with complex variables. This study compares the discrete dynamics of the Lorenz system with complex variables to that of the classical Lorenz system involving real and complex variables.

Acknowledgments

The author thanks to Snighdha Das of IIT Kharagpur for long hours fruitful discussions and suggestions. The author also grateful to his parent institution Pingla Thana Mahavidyalaya, Maligram, Paschim Medinipur for providing necessary environment in making the work completed.

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