2025/04/28 by Michele Mugnaine, Mugnaine, Michele, Bruno B. Leal +7
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Chaos control and synchronization #FOS: Physical sciences #General Physics (physics.gen-ph) #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.2504.20177
openalex publication_date 2025/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Isochronous islands are regular solutions related to different chains of elliptic points but with the same winding number. These isochronous islands emerge in phase space as a response to multiple resonant perturbations and can be simulated using a simple discrete model called the two-harmonic standard map. We observed three types of isochronous transitions, which can be formed through saddle-node and pitchfork bifurcations.