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Dynamics of a fractional-order simplified unified system based on the Adomian decomposition method

机译:基于Adomian分解方法的分数阶简化统一系统的动力学

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In this paper, the Adomian decomposition method (ADM) is applied to solve the fractional-order simplified unified system. The dynamics of the system is analyzed by means of the Lyapunov exponent spectrum, bifurcations, chaotic attractor, power spectrum and maximum Lyapunov exponent diagram. Route to chaos by period doubling is observed. Chaos is found to exist in the system with order as low as 1.371. In addition, chaotic behaviors are studied with different dimensional order, and the results show that this system is chaotic when only the first or third dimension is fractional.
机译:本文采用Adomian分解方法(ADM)求解分数阶简化统一系统。利用李雅普诺夫指数谱,分叉,混沌吸引子,功率谱和最大李雅普诺夫指数图分析了系统的动力学。观察到周期加倍导致混乱。发现系统中存在混沌,阶次低至1.371。此外,研究了不同维数顺序的混沌行为,结果表明,当仅第一维或第三维为分数维时,该系统是混沌的。

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