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

Laura Gardini, Fabio Tramontana, Soumitro Banerjee

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)137-145
Number of pages9
JournalMathematics and Computers in Simulation
Volume95
DOIs
Publication statusPublished - 2014

Keywords

  • Border Collision Bifurcations
  • Piecewise-linear map

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