A new fractional order chaotic dynamical system and its synchronization using optimal control
Chaotic Dynamics
2020-07-08 v1 Dynamical Systems
Abstract
In this work, we introduce a new three-dimensional chaotic differential dynamical system. We find equilibrium points of this system and provide the stability conditions for various fractional orders. Numerical simulations will be used to investigate the chaos in the proposed system. A simple linear control will be used to control the chaotic oscillations. Further, we propose an optimal control which is based on the fractional order of the system and use it to synchronize new chaotic system.
Cite
@article{arxiv.2007.03168,
title = {A new fractional order chaotic dynamical system and its synchronization using optimal control},
author = {Madhuri Patil and Sachin Bhalekar},
journal= {arXiv preprint arXiv:2007.03168},
year = {2020}
}
Comments
20 pages, 42 figures