Fractional electronic circuit simulation of a nonlinear macroeconomic model

Author(s)

David, S. A. ^[1] ; Fischer, C. ^[1] ; Tenreiro Machado, J. A. ^[2]

Affiliation

^[1] Univ Sao Paulo, Dept Biosyst Engn, BR-13635900 Pirassununga, SP - Brazil

^[2] Polytech Porto, Inst Engn, Rua Dr Antonio B de Almeida 431, P-4249015 Porto - Portugal

• Document type: Journal article
• Source: AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS; v. 84, p. 210-220, FEB 2018.
• Web of Science Citations: 3

Abstract

The Fractional Electronic Circuit Simulation (FrECS) using the Cadence OrCAD (TM) package is explored for evaluating the dynamics of a nonlinear macroeconomic system. The model of the dynamic system is translated into two forms, namely Numerical Simulation (NS) and FrECS, both for integer and non-integer orders. The results show not only a good agreement between the two simulation approaches, but also demonstrate the feasibility of using FrECS to investigate fractional dynamics. The FrECS is, therefore, a reliable strategy when having in mind a physical implementation using circuits. (AU)

• FAPESP's process: 14/02041-9 - Fractional calculus in dynamic systems: applications involving agricultural biosystems
• Grantee: Sergio Adriani David
• Support type: Regular Research Grants
• FAPESP's process: 17/13815-3 - Fractional dynamics of ethanol price series in Brazil
• Grantee: Sergio Adriani David
• Support type: Program for Research on Bioenergy (BIOEN) - Regular Program Grants