| Full text | |
| Author(s): |
Total Authors: 4
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| Affiliation: | [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
Total Affiliations: 4
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| Document type: | Journal article |
| Source: | MATHEMATICS AND COMPUTERS IN SIMULATION; v. 122, p. 55-68, APR 2016. |
| Web of Science Citations: | 20 |
| Abstract | |
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) | |
| FAPESP's process: | 10/15824-0 - The lagrangian dynamics in the context of the non-integer order calculus: fundamentals and applications |
| Grantee: | Sergio Adriani David |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 14/02041-9 - Fractional calculus in dynamic systems: applications involving agricultural biosystems |
| Grantee: | Sergio Adriani David |
| Support Opportunities: | Regular Research Grants |