The Effect of Modulating a Parameter in the Logistic Map

Zeraoulia Elhadj
Department of Mathematics, University of Tébésa, (12000), Algeria

J. C. Sprott
Departments of Physics, University of Wisconsin, Madison, WI 53706, USA

Received 14 January 2008; accepted 1 April 2008; published online 22 May 2008


The effect of using the output of one logistic map to modulate the accessible parameter of a second logistic map is examined. Rigorous analytical results provide some predictions on the effect of this type of modulation, and those effects are tested numerically.

Ref: E. Zeraoulia and  J. C. Sprott, Chaos 18, 023119-1 - 023119-7 (2008)

The complete paper is available in PDF format.

The programs and figures for this paper are available.

Return to Sprott's Books and Publications.