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Conference Agenda

Overview and details of the sessions of this conference. Please select a date or location to show only sessions at that day or location. Please select a single session for detailed view (with abstracts and downloads if available).

Please note that all times are shown in the time zone of the conference. The current conference time is: 24th Aug 2026, 05:32:57am America, Santiago

Daily Overview

Session

36D: Mathematics Education
Virtual location: VIRTUAL: Agora Meetings

Presentation 3

3:56pm - 4:04pm

Fuzzy-Initialized Logistic Dynamics for Macroeconomic Business Cycles: A Topological Framework

Carlos Ramos, Luis Enrique Mendiola

Universidad ESAN, Perú

We develop a mathematical framework connecting fuzzy
logic inference with deterministic nonlinear dynamics for
macroeconomic modeling. Starting from linguistic policy

variables encoded via continuous fuzzy membership func-
tions, we prove that the state space inherits a canonical

compact metrizable topology. Using Takagi-Sugeno fuzzy
inference, we construct a well-posed ordinary differential

equation and establish topological conjugacy with multidi-
mensional logistic dynamics. We characterize the stabil-
ity properties of fixed points and prove existence, unique-
ness, and continuous dependence of solutions. The frame-
work enables analytical treatment of qualitative economic

communications within dynamical systems theory, with
applications to inflation forecasting and policy design.