Pruning of orbits in four-disk and hyperbola billiards

被引：19

作者：

Hansen, Kai T. ^{[1
,2
]}

机构：

[1] Niels Bohr Inst, DK-2100 Copenhagen O, Denmark

[2] Univ Oslo, Dept Phys, N-0316 Oslo, Norway

来源：

CHAOS | 1992年 / 2卷 / 01期

关键词：

D O I：

10.1063/1.165900

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that for the four-disk system and the hyperbola billiard it is possible to construct a new symbolic plane preserving the orientation existing in the dynamical space. Physical orbits are mapped into the topological well-ordered plane and it is shown that the forbidden and allowed orbits are separated by a monotone pruning front.

引用

页码：71 / 75

页数：5

共 27 条

[1]

Christiansen F., 1989, THESIS

[2] TOPOLOGICAL AND METRIC PROPERTIES OF HENON-TYPE STRANGE ATTRACTORS [J].

CVITANOVIC, P ;

GUNARATNE, GH ;

PROCACCIA, I .

PHYSICAL REVIEW A, 1988, 38 (03) :1503-1520

[3] PERIODIC-ORBITS AS THE SKELETON OF CLASSICAL AND QUANTUM CHAOS [J].

CVITANOVIC, P .

PHYSICA D, 1991, 51 (1-3) :138-151

[4]

Cvitanovic P., 1991, APPL CHAOS EPRI WORK

[5]

Cvitanovic P., 1991, NONLINEAR PHYS PHENO

[6]

Cvitanovic P., 1989, NOISE CHAOS NONLINEA

[7]

Cvitanovic P., COMMUNICATION

[8] PERIODIC ORBIT QUANTIZATION OF BOUND CHAOTIC SYSTEMS [J].

DAHLQVIST, P ;

RUSSBERG, G .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (20) :4763-4778

[9] EXISTENCE OF STABLE ORBITS IN THE X2Y2 POTENTIAL [J].

DAHLQVIST, P ;

RUSSBERG, G .

PHYSICAL REVIEW LETTERS, 1990, 65 (23) :2837-2838

[10] ON THE TOPOLOGY OF THE HENON MAP [J].

DALESSANDRO, G ;

GRASSBERGER, P ;

ISOLA, S ;

POLITI, A .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (22) :5285-5294

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