Robust chaos

S Banerjee, J A Yorke, C Grebogi

Research output: Contribution to journalArticle

203 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.