2023/12/11 by Lazaros Moysis, Marcin Lawnik, Christos Volos
Physics and Astronomy · Computer Science · Mathematics · #Chaos control and synchronization #Chaos-based Image/Signal Encryption #Mathematical Dynamics and Fractals
paper · doi:10.1142/s0218127423300367
This work presents a numerical method to color the bifurcation diagram of any discrete map, based on the distribution of the map’s values in its domain. This density-colored diagram reveals information on the uniformity of the map’s value distribution across its domain set, as a bifurcation parameter is increased. This diagram can serve as a complementary visual tool for the analysis of chaotic maps, and can be vital for the application of chaotic dynamics.