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.
Inglese
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10807/67435
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