VOLUME 35, NUMBER 6, PART II DECEMBER 1997



Localized Zero Modes and the Breakup of KAM Tori


Shau-Jin Chang and Alex Yurchenko

Department of Physics, University of Illinois at Urbana-Champaign,
1110 West Green Street, Urbana, IL 61801-3080 U.S.A.


(Received October 17, 1997)


The emergence of localized zero modes are responsible for the breakup of the KAM trajectories. These localized modes break the translational symmetry of the KAM trajectories, and transform these continuous KAM tori into cantori. A systematical method based on the above observation is used to calculate the zero modes and the critical parameter k_c.



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