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首页> 外文期刊>International Journal of Modelling, Identification and Control >Hyperchaos, qualitative analysis, control and synchronisation of a ten-term 4-D hyperchaotic system with an exponential nonlinearity and three quadratic nonlinearities
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Hyperchaos, qualitative analysis, control and synchronisation of a ten-term 4-D hyperchaotic system with an exponential nonlinearity and three quadratic nonlinearities

机译：具有指数非线性和三个二次非线性的十项4-D超混沌系统的超混沌，定性分析，控制和同步

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In this research work, a ten-term novel hyperchaotic system with an exponential nonlinearity and three quadratic nonlinearities has been derived. The Lyapunov exponents of the hyperchaotic system are obtained as L_1 = 14.21985, L_2 = 0.04417, L_3 = 0 and L_4 = -36.82311. Since the maximal Lyapunov exponent (MLE) of the novel hyperchaotic system is L_1 = 14.21985, which is a large value, the novel hyperchaotic system exhibits strong chaotic behaviour. The Kaplan-Yorke dimension of the hyperchaotic system is obtained as D_(KY) = 3.38736, which is a large value. Next, an adaptive control law has been designed to stabilise the novel hyperchaotic system with unknown system parameters. Moreover, an adaptive control law has been designed to achieve global hyperchaos synchronisation of the identical novel hyperchaotic systems with unknown system parameters. MATLAB simulations have been shown in detail to illustrate all the main results developed in this research work.
机译：在这项研究工作中，推导了具有指数非线性和三个二次非线性的十项新型超混沌系统。获得的超混沌系统的Lyapunov指数为L_1 = 14.21985，L_2 = 0.04417，L_3 = 0和L_4 = -36.82311。由于新型超混沌系统的最大Lyapunov指数（MLE）为L_1 = 14.21985，这是一个很大的值，因此新型超混沌系统表现出很强的混沌行为。超混沌系统的Kaplan-Yorke维数为D_（KY）= 3.38736，这是一个很大的值。接下来，已经设计了一种自适应控制律，以用未知的系统参数来稳定新型超混沌系统。此外，已经设计了一种自适应控制律，以实现具有未知系统参数的相同新型超混沌系统的全局超混沌同步。已经详细显示了MATLAB仿真，以说明此研究工作中开发的所有主要结果。

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