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<p>In this paper, we develop a new four-dimensional fractional financial system (FFS) with time delays. Different delays-induced bifurcation conditions are firstly acquired. Then, the influence of fractional orders on the bifurcation points is adequately explored. It detects that fractional orders can postpone the onset of bifurcation for the developed system. It further finds that the better stability performance can be extracted when all orders are selected as integer-orders for the given delays. Ultimately, the efficiency of the developed results is confirmed by means of numerical experiments.</p>

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Bifurcation analysis of a four-dimensional financial system with fractional derivatives and dual delays

  • 期刊论文

  • 发表日期：

    2026年2月9日

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  • Juan Wang,
  • Na Li,
  • Chengdai Huang,
  • Heng Liu

摘要

In this paper, we develop a new four-dimensional fractional financial system (FFS) with time delays. Different delays-induced bifurcation conditions are firstly acquired. Then, the influence of fractional orders on the bifurcation points is adequately explored. It detects that fractional orders can postpone the onset of bifurcation for the developed system. It further finds that the better stability performance can be extracted when all orders are selected as integer-orders for the given delays. Ultimately, the efficiency of the developed results is confirmed by means of numerical experiments.