论文标题

在整数或分数秩序的经济体系中共存隐藏和自我激发的吸引子

Coexisting Hidden and self-excited attractors in an economic system of integer or fractional order

论文作者

Danca, Marius-F.

论文摘要

在本文中,分析了具有外国融资,整数或分数秩序的经济体系的动态。系统的对称性决定了两对共存吸引子的存在。该系统的整数版本被证明具有几种与自我激发的吸引子共存的隐藏吸引子的组合。由于系统变量之一代表了OW中的外国资本,因此隐藏吸引者的存在可能是经济模型的真正兴趣。分数变体在分数顺序空间中提出了吸引子的另一个有趣的共存。

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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