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- W2726953313 abstract "This paper describes a novel 3D four-leaf chaotic system and details its qualitative properties. The novel chaotic system is a polynomial system with three quadratic nonlinearities. The phase portraits of the novel four-leaf chaotic system are illustrated. We show that the novel chaotic system has three unstable equilibrium points. The Lyapunov exponents of the novel chaotic system are calculated as L1 = 1.0299, L2 = 0 and L3 = −7.0268. The Lyapunov dimension of the novel chaotic system is found as DL = 2.1466. Next, we apply integral sliding mode control method to find a feedback control law that globally stabilises the novel four-leaf chaotic system. Furthermore, we apply integral sliding mode control method to find a feedback control law that globally synchronises two identical four-leaf chaotic systems. The global control and synchronisation results are proved using Lyapunov stability theory. MATLAB simulations are shown to illustrate all the sliding mode control results derived in this work." @default.
- W2726953313 created "2017-07-14" @default.
- W2726953313 creator A5051386391 @default.
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- W2726953313 date "2017-01-01" @default.
- W2726953313 modified "2023-10-02" @default.
- W2726953313 title "A novel four-leaf chaotic system, its control and synchronisation via integral sliding mode control" @default.
- W2726953313 doi "https://doi.org/10.1504/ijmic.2017.10006020" @default.
- W2726953313 hasPublicationYear "2017" @default.
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