1997/03/01 by Susumu Shinohara, Shunjiro Shinohara, Y. Aizawa +1 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Mathematical Dynamics and Fractals #Theoretical and Computational Physics #chao-dyn #nlin.CD
paper · pdf · doi:10.1143/ptp.97.379
5 latex pages, 5 postscript figures, to be published in Prog.Theor.Phys
openalex publication_date 1997/03/01 · arxiv created 1997/03/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We determined the exact location of the shearless KAM curve in the quadratic map and numerically investigate the breakup thresholds of those curves in the entire parameter space. The breakup diagram reveals many sharp singularities like fractals on the reconnection thresholds of the twin-chains with rational rotation numbers.