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.
Gardini, L., Tramontana, F., Banerjee, S., Bifurcation analysis of an inductorless chaos generator using 1D piecewise smooth map, <<MATHEMATICS AND COMPUTERS IN SIMULATION>>, 2014; 95 (Gennaio): 137-145. [doi:10.1016/j.matcom.2012.05.016] [http://hdl.handle.net/10807/67435]
Bifurcation analysis of an inductorless chaos generator using 1D piecewise smooth map
Tramontana, Fabio;
2014
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.
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