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Pramana

, Volume 37, Issue 1, pp 83–91 | Cite as

Period matching in modulated maps

  • Sangeeta Batra
  • V S Varma
Article

Abstract

We study discrete nonlinear maps in which the control parameter is itself “modulated” by another discrete nonlinear map. We show that for a certain class of such maps, which includes for example the logistic map, the periodicity of the modulated signal is either one, independent of the periodicity of the modulating signal, or its periodicity is an integral multiple of the periodicity of the modulating signal or it is chaotic.

Keywords

Two-dimensional discrete maps Sarkovski ordering Lyapunov exponents multiple basins 

PACS No

05.45 

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Copyright information

© Indian Academy of Sciences 1991

Authors and Affiliations

  • Sangeeta Batra
    • 1
  • V S Varma
    • 1
  1. 1.Department of Physics and AstrophysicsUniversity of DelhiDelhiIndia

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