CLASSICAL CHAOTIC SCATTERING - PERIODIC-ORBITS, SYMMETRIES, MULTIFRACTAL INVARIANT-SETS

被引：38

作者：

JUNG, C ^{[1
]}

RICHTER, PH ^{[1
]}

机构：

[1] UNIV BREMEN,INST DYNAM SYST,W-2800 BREMEN 33,GERMANY

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 13期

关键词：

D O I：

10.1088/0305-4470/23/13/023

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The infinite set of periodic orbits of a chaotic system is investigated. Their globally exact symbolic dynamics is related to Birkhoff's method of iterated symmetry lines which produces symmetric periodic orbits of various classes. A complete picture emerges as to what part of the periodic orbits can be obtained by means of the Birkhoff lines. In addition, the thermodynamic formalism is applied to the multifractal structure created by the horseshoe arrangement of the periodic orbits.

引用

页码：2847 / 2866

页数：20

共 17 条

[1] ROUTES TO CHAOTIC SCATTERING [J].

BLEHER, S ;

OTT, E ;

GREBOGI, C .

PHYSICAL REVIEW LETTERS, 1989, 63 (09) :919-922

[2] PERIODIC-ORBIT QUANTIZATION OF CHAOTIC SYSTEMS [J].

CVITANOVIC, P ;

ECKHARDT, B .

PHYSICAL REVIEW LETTERS, 1989, 63 (08) :823-826

[3] INVARIANT MEASUREMENT OF STRANGE SETS IN TERMS OF CYCLES [J].

CVITANOVIC, P .

PHYSICAL REVIEW LETTERS, 1988, 61 (24) :2729-2732

[4] FRACTAL PROPERTIES OF SCATTERING SINGULARITIES [J].

ECKHARDT, B .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (17) :5971-5979

[5]

GASPARD P, 1989, J CHEM PHYS, V90, P225

[6] PERIODIC ORBITS AND CLASSICAL QUANTIZATION CONDITIONS [J].

GUTZWILL.MC .

JOURNAL OF MATHEMATICAL PHYSICS, 1971, 12 (03) :343-&

[7] FRACTAL MEASURES AND THEIR SINGULARITIES - THE CHARACTERIZATION OF STRANGE SETS [J].

HALSEY, TC ;

JENSEN, MH ;

KADANOFF, LP ;

PROCACCIA, I ;

SHRAIMAN, BI .

PHYSICAL REVIEW A, 1986, 33 (02) :1141-1151

[8] CHAOTIC SCATTERING OFF THE MAGNETIC DIPOLE [J].

JUNG, C ;

SCHOLZ, HJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (10) :2301-2311

[9] CLASSICAL CROSS-SECTION FOR CHAOTIC POTENTIAL SCATTERING [J].

JUNG, C ;

POTT, S .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (15) :2925-2938

[10] CANTOR SET STRUCTURES IN THE SINGULARITIES OF CLASSICAL POTENTIAL SCATTERING [J].

JUNG, C ;

SCHOLZ, HJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (12) :3607-3617

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