Dynamics of the Modified n-Degree Lorenz System-Reference-Cited by-同舟云学术

Dynamics of the Modified n-Degree Lorenz System

Published:2019-07-01 Issue:2 Volume:4 Page:315-330
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Hassan Sk. Sarif¹,Reddy Moole Parameswar²,Rout Ranjeet Kumar²

Affiliation:

1. Department of Mathematics , Pingla Thana Mahavidyalaya , Maligram , Paschim Medinipur, 721140 , India

2. Department of Computer Science and Engineering , NIT Srinagar, 190006 , J&K , India

Abstract

Abstract The Lorenz model is one of the most studied dynamical systems. Chaotic dynamics of several modified models of the classical Lorenz system are studied. In this article, a new chaotic model is introduced and studied computationally. By finding the fixed points, the eigenvalues of the Jacobian, and the Lyapunov exponents. Transition from convergence behavior to the periodic behavior (limit cycle) are observed by varying the degree of the system. Also transiting from periodic behavior to the chaotic behavior are seen by changing the degree of the system.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.2478/AMNS.2019.2.00028

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5. Pehlivan, I. and Uyaroğlu, Y., 2010. A new chaotic attractor from general Lorenz system family and its electronic experimental implementation. Turkish Journal of Electrical Engineering & Computer Sciences, 18(2), pp.171-184.

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