Scale-invariance of ruggedness measures in fractal fitness landscapes

Graphical Abstract

Fractal fitness landscape of the targeting problem.

Abstract

The paper deals with using chaos to direct trajectories to targets and analyses ruggedness and fractality of the resulting fitness landscapes. The targeting problem is formulated as a dynamic fitness landscape and four different chaotic maps generating such a landscape are studied. By using a computational approach, we analyse properties of the landscapes and quantify their fractal and rugged characteristics. In particular, it is shown that ruggedness measures such as correlation length and information content are scale-invariant and self-similar.

Keywords:

• Chaos
• targeting control
• fitness landscape
• fractality
• ruggedness

Disclosure statement

No potential conflict of interest was reported by the authors.