arXiv subjects

Gabriel H. A. Silva

Publications and source records attributed to Gabriel H. A. Silva.

2 recordsLinked to original sources

arXiv2017

Synchronization on the accuracy of chaotic oscillators simulations

Numerical problems are considered on general synchronization of chaotic oscillators, through the evaluation of the Lower Bound Error index on two case studies: a Lorenz system unidirectionally coupled to a Duffing system and a Duffing system unidirectionally coupled to a Rossler system. It was possible to observe, in each case, that the behavior of the slave's LBE curve tends to follow the behavior of the master's as the value of the coupling constant is increased up to a certain value, and thus, that synchronization can affect numerical calculations.

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arXiv2017

Incorporating Numerical Uncertainties for Validation of Nonlinear Models

This paper proposes a model validation method that incorporates error due to numerical procedures. Two identified models for Sine Map and Duffing-Ueda Circuit systems have been investigated. The indexes RMSE and MAPE have been applied. We have shown that after some few iterates, it is possible to notice some significative difference between index provided in the literature. This difference has been computed in around 34%.

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