2001/01/10 by Adilson E. Motter, A. E. Motter, Motter, A. E. +3
Computer Science · Physics and Astronomy · #Chaos-based Image/Signal Encryption #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Quantum chaos and dynamical systems #Scientific Research and Discoveries #nlin.CD
paper · pdf · doi:10.48550/arxiv.nlin/0101021
10 pages, 6 figures, Latex 2.09
arxiv created 2001/01/10 · openalex publication_date 2001/01/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A fractal method to detect, locate and quantify chaos in multi-dimensional-conservative-closed systems, based on the creation of artificial exits, is presented. The method is invariant under space-time changes of coordinates and can be used to analyse both classical and relativistic Hamiltonian systems of more than two degrees of freedom. As an application of the method we study a couple of two standard maps associated to a periodically kicked rotor of 21/2 degrees of freedom.