NIFS-408

FULL TEXT (PDF, 545 KB)


Author(s):

K. Hirose, S. Saito and Yoshi.H. Ichikawa

Title:

Structure of Period-2 Step-1 Accelerator Island in Area Preserving Maps

Date of publication:

Mar. 1996

Key words:

Harper map, Standard map, Period-2 step-1 accelerator mode

Abstract:

Since the multi-periodic accelerator modes manifest their contribution even in the region of small stochastic parameters, analysis of such regular motion appears to be critical to explore the stochastic properties of the Hamiltonian system. Here, structure of period-2 step-1 accelerator mode is analyzed for the systems described by the Harper map and by the standard map. The stability criterions have been analyzed in detail in comparison with numerical analyses. The period-3 squeezing around the period-2 step-1 islands is identified in the standard map.

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