INDEXES IN CLASSICAL MECHANICS

被引:51
作者
ECKHARDT, B [1 ]
WINTGEN, D [1 ]
机构
[1] MAX PLANCK INST NUCL PHYS,W-6900 HEIDELBERG 1,GERMANY
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 18期
关键词
D O I
10.1088/0305-4470/24/18/020
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We discuss the linearization of the equations of motion around a periodic orbit in a conservative two degree of freedom Hamiltonian system, with an emphasis on computationally useful formulae. Indices are defined using singularities in projections. Conjugate points, self-conjugate points and the possibility of assigning a symbolic code are discussed.
引用
收藏
页码:4335 / 4348
页数:14
相关论文
共 28 条
[1]  
Arnold VI., 1978, MATH METHODS CLASSIC, DOI 10.1007/978-1-4757-1693-1
[2]   RECYCLING OF STRANGE SETS .1. CYCLE EXPANSIONS [J].
ARTUSO, R ;
AURELL, E ;
CVITANOVIC, P .
NONLINEARITY, 1990, 3 (02) :325-359
[3]   QUANTUM SCARS OF CLASSICAL CLOSED ORBITS IN PHASE-SPACE [J].
BERRY, MV .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1989, 423 (1864) :219-231
[4]   SEMICLASSICAL APPROXIMATIONS IN WAVE MECHANICS [J].
BERRY, MV ;
MOUNT, KE .
REPORTS ON PROGRESS IN PHYSICS, 1972, 35 (04) :315-+
[5]   SMOOTHED WAVE-FUNCTIONS OF CHAOTIC QUANTUM-SYSTEMS [J].
BOGOMOLNY, EB .
PHYSICA D, 1988, 31 (02) :169-189
[6]   CHAOTIC SCATTERING IN SEVERAL DIMENSIONS [J].
CHEN, Q ;
DING, MZ ;
OTT, E .
PHYSICS LETTERS A, 1990, 145 (2-3) :93-100
[7]   GEOMETRICAL PROPERTIES OF MASLOV INDEXES IN THE SEMICLASSICAL TRACE FORMULA FOR THE DENSITY OF STATES [J].
CREAGH, SC ;
ROBBINS, JM ;
LITTLEJOHN, RG .
PHYSICAL REVIEW A, 1990, 42 (04) :1907-1922
[8]   PERIODIC-ORBIT QUANTIZATION OF CHAOTIC SYSTEMS [J].
CVITANOVIC, P ;
ECKHARDT, B .
PHYSICAL REVIEW LETTERS, 1989, 63 (08) :823-826
[9]   INVARIANT MEASUREMENT OF STRANGE SETS IN TERMS OF CYCLES [J].
CVITANOVIC, P .
PHYSICAL REVIEW LETTERS, 1988, 61 (24) :2729-2732
[10]   RUELLES ROTATION FREQUENCY FOR A SYMPLECTIC CHAIN OF DISSIPATIVE OSCILLATORS [J].
DRESSLER, U ;
LAUTERBORN, W .
PHYSICAL REVIEW A, 1990, 41 (12) :6702-6715