Article
Dynamics of the Modified n-Degree Lorenz System
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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.
Keywords
Modified Chaotic System, Chaos, Periodic, Lorenz System & Dynamical Systems, 39A10, 39A11
Citation
Hassan, S. S., Reddy, M. P., & Rout, R. K. (2019). Dynamics of the modified n-degree lorenz system. Applied Mathematics and Nonlinear Sciences, 4(2), 315–330. https://doi.org/10.2478/AMNS.2019.2.00028
S. S. Hassan, M. P. Reddy and R. K. Rout, “Dynamics of the modified n-degree lorenz system,” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 2, pp. 315–330, 2019, doi: 10.2478/AMNS.2019.2.00028.
Hassan SS, Reddy MP, Rout RK. Dynamics of the modified n-degree lorenz system. Applied Mathematics and Nonlinear Sciences. 2019;4(2):315–330. doi:10.2478/AMNS.2019.2.00028.
Hassan, S. S., Reddy, M. P. and Rout, R. K. (2019), ‘Dynamics of the modified n-degree lorenz system’, Applied Mathematics and Nonlinear Sciences, 4(2), pp. 315–330. Available at: https://doi.org/10.2478/AMNS.2019.2.00028.
Hassan, Sk. Sarif, et al. “Dynamics of the Modified N-degree Lorenz System.” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 2, 2019, pp. 315–330. https://doi.org/10.2478/AMNS.2019.2.00028.
Hassan, Sk. Sarif, Moole Parameswar Reddy, and Ranjeet Kumar Rout. “Dynamics of the Modified N-degree Lorenz System.” Applied Mathematics and Nonlinear Sciences 4, no. 2 (2019): 315–330. https://doi.org/10.2478/AMNS.2019.2.00028.
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Published by: Engineering Journals
