@article{Hammouch_Yavuz_Özdemir_2021, title={Numerical solutions and synchronization of a variable-order fractional chaotic system}, volume={1}, url={https://mmnsa.org/index.php/mmnsa/article/view/4}, DOI={10.53391/mmnsa.2021.01.002}, abstractNote={<p>In the present paper, we implement a novel numerical method for solving differential equations with fractional variable-order in the Caputo sense to research the dynamics of a circulant Halvorsen system. Control laws are derived analytically to make synchronization of two identical commensurate Halvorsen systems with fractional variable-order time derivatives. The chaotic dynamics of the Halvorsen system with variable-order fractional derivatives are investigated and the identical synchronization between two systems is achieved. Moreover, graph simulations are provided to validate the theoretical analysis.</p>}, number={1}, journal={Mathematical Modelling and Numerical Simulation with Applications}, author={Hammouch, Zakia and Yavuz, Mehmet and Özdemir, Necati}, year={2021}, month={Aug.}, pages={11–23} }