Chaos control and solutions of fractional-order Malkus waterwheel model

作者: Mehmet Ali Akinlar , Fairouz Tchier , Mustafa Inc

DOI: 10.1016/J.CHAOS.2020.109746

关键词:

摘要: Abstract Malkus waterwheel model is a Lorenz type chaotic-physical expressed in terms of system nonlinear ordinary differential equations. In this investigation, we consider fractional-order via Caputo time derivative and present chaos control, anti-synchronization, numerical solutions the fractional system. We also associate with two different optimal control problems. Computational results indicate that study may serve as framework for chaotic behavior analysis approximate many parametric systems. The paper be considered novel contribution because formulations, solutions, stability are studied first paper. This research work useful researchers concerning dynamical

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