2002/10/29 by Amit Apte, A. Apte, A. Wurm +3
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Theoretical and Computational Physics #nlin.CD
paper · pdf · doi:10.1063/1.1555472
published as Chaos Vol 13(2) pp. 421-433. June 2003 · To be Submitted to Chaos
arxiv created 2002/10/29 · openalex publication_date 2003/05/29 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Extending the work of del-Castillo-Negrete, Greene, and Morrison [Physica D 91, 1 (1996); 100, 311 (1997)] on the standard nontwist map, the breakup of an invariant torus with winding number equal to the inverse golden mean squared is studied. Improved numerical techniques provide the greater accuracy that is needed for this case. The new results are interpreted within the renormalization group framework by constructing a renormalization operator on the space of commuting map pairs, and by studying the fixed points of the so constructed operator.