整数或分数阶经济系统中共存的隐吸引子和自激吸引子
Coexisting Hidden and self-excited attractors in an economic system of integer or fractional order
摘要：
本文分析了具有整数阶和分数阶外资的经济系统的动力学行为。系统的对称性决定了两对共存吸引子的存在。整数阶版本的系统被证明有几个组合共存的隐藏吸引子与自激吸引子。由于系统变量之一代表了海外资本，隐藏吸引子的存在可能是经济模型中的一个真正的兴趣。分数阶变体呈现了分数阶空间中吸引子的另一种有趣的共存。
英文摘要：
In this paper the dynamics of an economic system with foreign financing, of integer or fractional order, are analyzed. The symmetry of the system determines the existence of two pairs of coexisting attractors. The integer-order version of the system proves to have several combinations of coexisting hidden attractors with self-excited attractors. Because one of the system variables represents the foreign capital in ow, the presence of hidden attractors could be of a real interest in economic models. The fractional-order variant presents another interesting coexistence of attractors in the fractional order space.
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