2020/09/23 by Gabriel I. Díaz, Matheus S. Palmero, Díaz, Gabriel I. +6
Computer Science · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #Theoretical and Computational Physics #nlin.CD
paper · pdf · doi:10.48550/arxiv.2009.11095
arxiv created 2020/09/23 · openalex publication_date 2020/09/23 · arxiv updated 2020/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate how the diffusion exponent is affected by controlling small domains in the phase space.The main Kolomogorov-Arnold-Moser - KAM island of the Standard Map is considered to validate the investigation. The bifurcation scenario where the periodic island emits smaller resonance regions is considered and we show how closing paths escape from the island shore by controlling points and hence making the diffusion exponent smaller. We notice the bigger controlled area the smaller the diffusion exponent. We show that controlling around the hyperbolic points associated to the bifurcation is better than a random control to reduce the diffusion exponent. The recurrence plot shows us channels of escape and a control applied there reduces the diffusion exponent.