Bifurcation analysis of an inductorless chaos generator using 1D piecewise smooth map

Gardini, Laura ; Tramontana, Fabio ; Banerjee, Soumitro (2014) Bifurcation analysis of an inductorless chaos generator using 1D piecewise smooth map Mathematics and Computers in Simulation, 95 . pp. 137-145. ISSN 0378-4754

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Official URL: http://doi.org/10.1016/j.matcom.2012.05.016

Related URL: http://dx.doi.org/10.1016/j.matcom.2012.05.016

Abstract

In this work we investigate the dynamics of a one-dimensional piecewise smooth map, which represents the model of a chaos generator circuit. In a particular (symmetric) case analytic results can be given showing that the chaotic region is wide and robust. In the general model only the border collision bifurcation can be analytically determined. However, the dynamics behave in a similar way, leading effectively to robust chaos.

Item Type:Article
Source:Copyright of this article belongs to Elsevier B.V.
Keywords:Chaos generator; Border-collision; Piecewise smooth continuous map
ID Code:129536
Deposited On:17 Nov 2022 07:14
Last Modified:17 Nov 2022 07:14

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