Partial chaos suppression in a fractional order macroeconomic model

Autor(es)

David, S. A. ^[1] ; Machado, J. A. T. ^[2] ; Quintino, D. D. ^[3] ; Balthazar, J. M. ^[4]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo Pirassununga, Ave Duque de Caxicts Norte 225, BR-13635900 Pirassununga, SP - Brazil

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

^[3] Federat Ind State Sao Paulo, Ave Paulista 1313, BR-01311923 Sao Paulo, SP - Brazil

^[4] State Univ Sao Paulo Rio Claro, Ave 24 A, 1515, BR-13506900 Rio Claro, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: MATHEMATICS AND COMPUTERS IN SIMULATION; v. 122, p. 55-68, APR 2016.
• Citações Web of Science: 20

Resumo

This work investigates the possibility of suppressing chaos in a fractional-nonlinear macroeconomic dynamic model. The system generalizes a model recently reported in the literature in which chaos is strongly present. This description involves the inclusion of the public sector deficit and its coupling with other variables. The system is simulated for integer and non-integer orders that produce a complex dynamics. The time histories and the phase diagrams are presented. The main contribution of this work refers to the adoption of the largest Lyapunov exponent (LLE) criteria based on Wolf's algorithm. This approach improves the response of the system, suppressing, at least partially, the strong presence of chaos reported in previous studies. (C) 2015 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 10/15824-0 - A dinâmica lagrangeana no contexto do cálculo de ordem não inteira: fundamentos e aplicações
• Beneficiário: Sergio Adriani David
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 14/02041-9 - Cálculo fracionário em sistemas dinâmicos: aplicações envolvendo biossistemas agrícolas
• Beneficiário: Sergio Adriani David
• Modalidade de apoio: Auxílio à Pesquisa - Regular