Clocking Convergence to Arnold Tongues - The H-rank Approach

Authors

Mantas Landauskas, Center for Nonlinear Systems, Kaunas University of Technology, Studentu 50-147, Kaunas, LT-51368, LithuaniaFollow
Minvydas Ragulskis, Center for Nonlinear Systems, Kaunas University of Technology, Studentu 50-147, Kaunas, LT-51368, LithuaniaFollow

Author Country (or Countries)

Lithuania

Abstract

Computational techniques based on ranks of Hankel matrices (H-ranks) is used to study the convergence to Arnold tongues in the circle map. It appears that the process of convergence to the phase-locked mode of the discrete stationary attractor is far from being trivial. Figures of pseudoranks of Hankel matrices constructed from transient solutions of the circle map carry important physical information about complex nonlinear processes and are also beautiful from the aesthetical point of view.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/130513

Recommended Citation

Landauskas, Mantas and Ragulskis, Minvydas (2019) "Clocking Convergence to Arnold Tongues - The H-rank Approach," Applied Mathematics & Information Sciences: Vol. 13: Iss. 5, Article 13.
DOI: http://dx.doi.org/10.18576/amis/130513
Available at: https://digitalcommons.aaru.edu.jo/amis/vol13/iss5/13