3 citations · 5 across the 8 of their papers we have counts for
8 papers
Synchronization on the accuracy of chaotic oscillators simulations
Gabriel H. A. Silva, Igor C. Silva, Wilson R. L. Junior +3
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 unid…
A rigorous evaluation of the intermittence in the logistic map using lower bound error
Marcella N. R. Oliveira, Erivelton G. Nepomuceno
This article investigates the maximum time of simulation in which the phenomenon of the intermittence can be observed with numerical confidence in discrete maps. Interval analysis…
Note on improvement precision of recursive function simulation in floating point standard
Melanie R. Silva, Erivelton G. Nepomuceno, Samir A. M. Martins
An improvement on precision of recursive function simulation in IEEE floating point standard is presented. It is shown that the average of rounding towards negative infinite and ro…
On the Constructing Bifurcation Diagram of the Quadratic Map With Floating-Point Arithmetic
Thalita E. Nazare, Erivelton G. Nepomuceno, Bruno P. O. Paiva
This paper presents an analysis on the effects of floating-point arithmetic on the constructing bifurcation diagram of the quadratic map. More precisely, we are interested in showi…
Chaos suppression of Lorenz Systems by means on the average of rounding modes
Melanie R. Silva, Erivelton G. Nepomuceno, Samir A. M. Martins
This work deals with chaos suppression based on average of the rounded modes to negative and positive infinite. The present procedure acts to reduce the rounding errors. It was obs…
Incorporating Numerical Uncertainties for Validation of Nonlinear Models
Igor C. Silva, Gabriel H. A. Silva, Samir A. M. Martins +1
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 inv…