<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

Dynamics of the Modified n-Degree Lorenz System

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 Public License.

{"article-title":"Dynamics of the Modified n-Degree Lorenz System"}

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...

Dynamics of the Modified n-Degree Lorenz System

Published Online: Aug 22, 2019

Page range: 315 - 330

Received: Mar 24, 2019

Accepted: May 24, 2019

DOI: https://doi.org/10.2478/AMNS.2019.2.00028

Keywords
Modified Chaotic System, Chaos, Periodic, Lorenz System & Dynamical Systems

© 2019 Sk. Sarif Hassan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

Dynamics of the Modified n-Degree Lorenz System

Published Online: Aug 22, 2019

Page range: 315 - 330

Received: Mar 24, 2019

Accepted: May 24, 2019

DOI: https://doi.org/10.2478/AMNS.2019.2.00028

KeywordsModified Chaotic System, Chaos, Periodic, Lorenz System & Dynamical Systems

© 2019 Sk. Sarif Hassan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

Keywords
Modified Chaotic System, Chaos, Periodic, Lorenz System & Dynamical Systems