Robust chaos

S Banerjee, J A Yorke, C Grebogi

Research output: Contribution to journalArticle

195 Citations (Scopus)

Abstract

Practical applications of chaos require the chaotic orbit to be robust, defined by the absence of periodic windows and coexisting attractors in some neighborhood of the parameter space. We show that robust chaos can occur in piecewise smooth systems and obtain the conditions of its occurrence. We illustrate this phenomenon with a practical example from electrical engineering.

Original languageEnglish
Pages (from-to)3049-3052
Number of pages4
JournalPhysical Review Letters
Volume80
Issue number14
Publication statusPublished - 6 Apr 1998

Keywords

  • border-collision bifurcations

Cite this

Banerjee, S., Yorke, J. A., & Grebogi, C. (1998). Robust chaos. Physical Review Letters, 80(14), 3049-3052.

Robust chaos. / Banerjee, S ; Yorke, J A ; Grebogi, C .

In: Physical Review Letters, Vol. 80, No. 14, 06.04.1998, p. 3049-3052.

Research output: Contribution to journalArticle

Banerjee, S, Yorke, JA & Grebogi, C 1998, 'Robust chaos', Physical Review Letters, vol. 80, no. 14, pp. 3049-3052.
Banerjee S, Yorke JA, Grebogi C. Robust chaos. Physical Review Letters. 1998 Apr 6;80(14):3049-3052.
Banerjee, S ; Yorke, J A ; Grebogi, C . / Robust chaos. In: Physical Review Letters. 1998 ; Vol. 80, No. 14. pp. 3049-3052.
@article{ade0edc845154b50b7ef8450efa47d4e,
title = "Robust chaos",
abstract = "Practical applications of chaos require the chaotic orbit to be robust, defined by the absence of periodic windows and coexisting attractors in some neighborhood of the parameter space. We show that robust chaos can occur in piecewise smooth systems and obtain the conditions of its occurrence. We illustrate this phenomenon with a practical example from electrical engineering.",
keywords = "border-collision bifurcations",
author = "S Banerjee and Yorke, {J A} and C Grebogi",
year = "1998",
month = "4",
day = "6",
language = "English",
volume = "80",
pages = "3049--3052",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "14",

}

TY - JOUR

T1 - Robust chaos

AU - Banerjee, S

AU - Yorke, J A

AU - Grebogi, C

PY - 1998/4/6

Y1 - 1998/4/6

N2 - Practical applications of chaos require the chaotic orbit to be robust, defined by the absence of periodic windows and coexisting attractors in some neighborhood of the parameter space. We show that robust chaos can occur in piecewise smooth systems and obtain the conditions of its occurrence. We illustrate this phenomenon with a practical example from electrical engineering.

AB - Practical applications of chaos require the chaotic orbit to be robust, defined by the absence of periodic windows and coexisting attractors in some neighborhood of the parameter space. We show that robust chaos can occur in piecewise smooth systems and obtain the conditions of its occurrence. We illustrate this phenomenon with a practical example from electrical engineering.

KW - border-collision bifurcations

M3 - Article

VL - 80

SP - 3049

EP - 3052

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 14

ER -