Fractal paradigm and fractal-scaling methods in fundamentally new dynamic fractal signal detectors

Abstract

In base of modern fractal researches can be highlighted three main lines: fractal approach theoretical base development, building of research apparatus, corresponding it, and application of the fractal ideas and particular methods. In this paper all three lines are considered. First of all, the work actuality is due to urgent need for comprehension of fractality and chaos as a united whole process, forming the fractal paradigm in wide range of natural sciences and humanities, i. e. in the “fractal science”.