English

Simulation of Chua's Circuit by Means of Interval Analysis

Chaotic Dynamics 2016-12-06 v1

Abstract

The Chua's circuit is a paradigm for nonlinear scientific studies. It is usually simulated by means of numerical methods under IEEE 754-2008 standard. Although the error propagation problem is well known, little attention has been given to the relationship between this error and inequalities presented in Chua's circuit model. Taking the average of round mode towards ++\infty and -\infty, we showed a qualitative change on the dynamics of Chua's circuit.

Keywords

Cite

@article{arxiv.1612.01060,
  title  = {Simulation of Chua's Circuit by Means of Interval Analysis},
  author = {M. R. Silva and E. G. Nepomuceno and G. F. V. Amaral and V. V. R. Silva},
  journal= {arXiv preprint arXiv:1612.01060},
  year   = {2016}
}

Comments

6th International Conference on Nonlinear Science and Complexity - S\~ao Jos\'e dos Campos, 2016, p. 1-4