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原文連結
論文資訊
- 類型：已發表論文
- 日期：2025-08-21
摘要
We introduce the alpha-Gauss-Logistic map, a new 非線性 dynamics constructed by composing the logistic and alpha-Gauss maps. Explicitly, our model is given by x(t+1) = f(L)(x(t))x(t )(-alpha) - [f(L)(x(t))x(t)(-alpha)], where f(L)(x(t))=rx(t)(1-x(t)) is the logistic map and [...] is the integer part function. Our investigation reveals a rich phenomenology depending solely on two parameters, r and alpha. For alpha < 1, the system exhibits multiple period-doubling cascades to 混沌 as the parameter r is increased, interspersed with stability windows within the chaotic 吸引子. In contrast, for 1 <= alpha < 2, the onset of 混沌 is abrupt, occurring without any prior 分岔s, and the resulting chaotic 吸引子s emerge without stability windows. For alpha >= 2, the regular behavior is absent. The special case of al
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