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

Laura Gardini; Fabio Tramontana; Soumitro Banerjee

doi:10.1016/j.matcom.2012.05.016

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

Laura Gardini
, Fabio Tramontana
, Soumitro Banerjee

Università Cattolica del Sacro Cuore

University of Urbino
Indian Institute of Science Education and Research, Kolkata

Risultato della ricerca: Contributo in rivista › Articolo › peer review

9 Citazioni (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.

Lingua originale	Inglese
pagine (da-a)	137-145
Numero di pagine	9
Rivista	Mathematics and Computers in Simulation
Volume	95
DOI	https://doi.org/10.1016/j.matcom.2012.05.016
Stato di pubblicazione	Pubblicato - 2014

Keywords

Border Collision Bifurcations
Piecewise-linear map

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10.1016/j.matcom.2012.05.016

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title = "Bifurcation analysis of an inductorless chaos generator using 1D piecewise smooth map",

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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AU - Tramontana, Fabio

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N2 - 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.

AB - 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.

KW - Border Collision Bifurcations

KW - Piecewise-linear map

KW - Border Collision Bifurcations

KW - Piecewise-linear map

UR - http://hdl.handle.net/10807/67435

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DO - 10.1016/j.matcom.2012.05.016

M3 - Article

SN - 0378-4754

VL - 95

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EP - 145

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

ER -

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

Abstract

Keywords

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