|Table of Contents|

Breakup of Last KAM Torus in Double-Frequency Standard Map(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2010年04期
Page:
39-43
Research Field:
物理学
Publishing date:

Info

Title:
Breakup of Last KAM Torus in Double-Frequency Standard Map
Author(s):
Zeng Linghong1; Chen Yuanyuan2; Zhou Jilin2
1.Liuzhou Teachers College,Liuzhou 545004,China 2. D epartm en t of Astronom y, Nan jing U n ivers ity, Nan jing 210093, Ch ina
Keywords:
conserva tive sy stem s;  KAM tor; i critical phenom enon;  o rbita l diffusion
PACS:
O19
DOI:
-
Abstract:
The last KAM to rus in the doub le- frequency standard m ap under perturbation is inv estig ated w ith the m ethods o f rotation number and per iodic orb its. It has frequency ( 73 + 13 5) / ( 309 + 55 5 ), wh ich belongs to the Go lden m ean g roup, and has the form of [ 4, 4, 3, 3, 1, ,, 1, , ] under continuation fac tion expansion. The critical perturbation param eter is roughly 01 447 6 fo r th is to r.i As com pared w ith the last KAM torus in the standard m ap, the add itional exc itation frequency decreases the cr itica l perturba tion param eter, wh ich increases the instab ility of the system, thus som e orbits can be eas ier to d iffuse away in the phase space.

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Last Update: 2013-04-08