1984/02/01 by K. Kaneko, Kenichi Kaneko · 1 citation
Mathematics · Physics and Astronomy · #Chaos control and synchronization #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems
paper · pdf · doi:10.1143/ptp.71.282
crossref issued 1984/02/01 · crossref published 1984/02/01 · crossref published-print 1984/02/01 · openalex publication_date 1984/02/01 · crossref created 2005/12/14 · crossref deposited 2017/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/22 · crossref indexed 2026/07/26
Fates of three-torus are investigated by two- or four-dimensional coupled mappings. Three-tori exist for a weak coupling, which become feasible to lock into a torus as the coupling increases. Transition to chaos occurs only via a locking into a cycle. The locking into a torus forms a “double devil's staircase”, which is studied by the modulated circle map. Mechanism of the locking is also discussed.